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Volumn 2, Issue , 1991, Pages 17-351

Basic error estimates for elliptic problems

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EID: 8544220284     PISSN: 15708659     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-8659(05)80039-0     Document Type: Review
Times cited : (896)

References (563)
  • 2
    • 0003514559 scopus 로고
    • Analysis of plate bending by the finite element method
    • Adini A., and Clough R.W. Analysis of plate bending by the finite element method. NSF Rept. G.7337 (1961)
    • (1961) NSF Rept. G.7337
    • Adini, A.1    Clough, R.W.2
  • 4
    • 0009762292 scopus 로고
    • A trivariate Clough-Tocher scheme for tetrahedral data
    • Alfeld P. A trivariate Clough-Tocher scheme for tetrahedral data. Comput. Aided Geom. Design 1 (1984) 169-181
    • (1984) Comput. Aided Geom. Design , vol.1 , pp. 169-181
    • Alfeld, P.1
  • 5
    • 70350322401 scopus 로고
    • Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique
    • Apprato D., and Arcangéli R. Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique. RAIRO Anal. Numér. 13 (1979) 3-20
    • (1979) RAIRO Anal. Numér. , vol.13 , pp. 3-20
    • Apprato, D.1    Arcangéli, R.2
  • 6
    • 0006993094 scopus 로고
    • Sur les éléments finis rationnels de Wachspress
    • Apprato D., Arcangéli R., and Gout J.L. Sur les éléments finis rationnels de Wachspress. Numer. Math. 32 (1979) 247-270
    • (1979) Numer. Math. , vol.32 , pp. 247-270
    • Apprato, D.1    Arcangéli, R.2    Gout, J.L.3
  • 7
    • 0018721368 scopus 로고
    • Rational interpolation of Wachspress error estimates
    • Apprato D., Arcangéli R., and Gout J.L. Rational interpolation of Wachspress error estimates. Comput. Math. Appl. 5 (1979) 329-336
    • (1979) Comput. Math. Appl. , vol.5 , pp. 329-336
    • Apprato, D.1    Arcangéli, R.2    Gout, J.L.3
  • 10
    • 0042905000 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 26 (1954-1955) 347-356
    • (1954) Aircraft Engrg. , vol.26 , pp. 347-356
    • Argyris, J.H.1
  • 11
    • 84946534973 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 26 (1954-1955) 383-387
    • (1954) Aircraft Engrg. , vol.26 , pp. 383-387
    • Argyris, J.H.1
  • 12
    • 0003219232 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 26 (1954-1955) 394
    • (1954) Aircraft Engrg. , vol.26 , pp. 394
    • Argyris, J.H.1
  • 13
    • 84946537422 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 27 (1954-1955) 42-58
    • (1954) Aircraft Engrg. , vol.27 , pp. 42-58
    • Argyris, J.H.1
  • 14
    • 84946537674 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 27 (1954-1955) 80-94
    • (1954) Aircraft Engrg. , vol.27 , pp. 80-94
    • Argyris, J.H.1
  • 15
    • 84946536580 scopus 로고
    • Energy theorems and structural analysis, Part I: General theory
    • (also published as a book, Butterworths Scientific Publications, London, 1960)
    • (also published as a book, Butterworths Scientific Publications, London, 1960). Argyris J.H. Energy theorems and structural analysis, Part I: General theory. Aircraft Engrg. 27 (1954-1955) 125-134
    • (1954) Aircraft Engrg. , vol.27 , pp. 125-134
    • Argyris, J.H.1
  • 16
    • 0001558919 scopus 로고
    • The LUMINA element for the matrix displacement method (Lagrangian interpolation)
    • Argyris J.H., and Fried I. The LUMINA element for the matrix displacement method (Lagrangian interpolation). Aero. J. Roy. Aero. Soc. 72 (1968) 514-517
    • (1968) Aero. J. Roy. Aero. Soc. , vol.72 , pp. 514-517
    • Argyris, J.H.1    Fried, I.2
  • 17
    • 0001558920 scopus 로고
    • The TUBA family of plate elements for the matrix displacement method
    • Argyris J.H., Fried I., and Scharpf D.W. The TUBA family of plate elements for the matrix displacement method. Aero. J. Roy. Aero. Soc. 72 (1968) 701-709
    • (1968) Aero. J. Roy. Aero. Soc. , vol.72 , pp. 701-709
    • Argyris, J.H.1    Fried, I.2    Scharpf, D.W.3
  • 21
    • 37449018948 scopus 로고
    • Characterization of positive reproducing kernels; Application to Green's functions
    • Aronszajn N., and Smith K.T. Characterization of positive reproducing kernels; Application to Green's functions. Amer. J. Math. 79 (1957) 611-622
    • (1957) Amer. J. Math. , vol.79 , pp. 611-622
    • Aronszajn, N.1    Smith, K.T.2
  • 23
    • 33646992660 scopus 로고
    • Evaluation de l'erreur dans la méthode des éléments finis
    • Attéia M. Evaluation de l'erreur dans la méthode des éléments finis. Numer. Math. 28 (1977) 295-306
    • (1977) Numer. Math. , vol.28 , pp. 295-306
    • Attéia, M.1
  • 24
    • 68649128029 scopus 로고
    • Approximation des espaces de distributions et des opérateurs différentiels
    • Bull. Soc. Math. France
    • Bull. Soc. Math. France. Aubin J.P. Approximation des espaces de distributions et des opérateurs différentiels. Mémoire 12 (1967)
    • (1967) Mémoire , vol.12
    • Aubin, J.P.1
  • 25
    • 0000620759 scopus 로고
    • Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods
    • Aubin J.P. Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods. Ann. Scuola Norm. Sup. Pisa 21 (1967) 599-637
    • (1967) Ann. Scuola Norm. Sup. Pisa , vol.21 , pp. 599-637
    • Aubin, J.P.1
  • 26
    • 33646991742 scopus 로고
    • Evaluation des erreurs de troncature des approximations des espaces de Sobolev
    • Aubin J.P. Evaluation des erreurs de troncature des approximations des espaces de Sobolev. J. Math. Anal. Appl. 21 (1968) 356-368
    • (1968) J. Math. Anal. Appl. , vol.21 , pp. 356-368
    • Aubin, J.P.1
  • 27
    • 33646993410 scopus 로고
    • Interpolation et approximations optimales et "spline functions"
    • Aubin J.P. Interpolation et approximations optimales et "spline functions". J. Math. Anal. Appl. 24 (1968) 1-24
    • (1968) J. Math. Anal. Appl. , vol.24 , pp. 1-24
    • Aubin, J.P.1
  • 28
    • 51249188875 scopus 로고
    • Approximation des problèmes aux limites non homogènes et régularité de la convergence
    • Aubin J.P. Approximation des problèmes aux limites non homogènes et régularité de la convergence. Calcolo 6 (1969) 117-139
    • (1969) Calcolo , vol.6 , pp. 117-139
    • Aubin, J.P.1
  • 32
    • 0021439655 scopus 로고
    • Analytical integration formulae for linear isoparametric finite elements
    • Babu D.K., and Pinder G.F. Analytical integration formulae for linear isoparametric finite elements. Internat. J. Numer. Methods Engrg. 20 (1984) 1153-1166
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 1153-1166
    • Babu, D.K.1    Pinder, G.F.2
  • 33
    • 0002502571 scopus 로고
    • The theory of small changes in the domain of existence in the theory of partial differential equations and its applications
    • Academic Press, New York
    • Babuška I. The theory of small changes in the domain of existence in the theory of partial differential equations and its applications. Differential Equations and Their Applications (1963), Academic Press, New York 13-26
    • (1963) Differential Equations and Their Applications , pp. 13-26
    • Babuška, I.1
  • 34
    • 0013668791 scopus 로고
    • Finite element methods for domains with corners
    • Babuška I. Finite element methods for domains with corners. Computing 6 (1970) 264-273
    • (1970) Computing , vol.6 , pp. 264-273
    • Babuška, I.1
  • 36
    • 0015077617 scopus 로고
    • The rate of convergence for the finite element method
    • Babuška I. The rate of convergence for the finite element method. SIAM J. Numer. Anal. 8 (1971) 304-315
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 304-315
    • Babuška, I.1
  • 37
    • 0000443756 scopus 로고
    • Error bounds for the finite element method
    • Babuška I. Error bounds for the finite element method. Numer. Math. 16 (1971) 322-333
    • (1971) Numer. Math. , vol.16 , pp. 322-333
    • Babuška, I.1
  • 38
    • 0002641542 scopus 로고
    • A finite element scheme for domains with corners
    • Babuška I. A finite element scheme for domains with corners. Numer. Math. 20 (1972) 1-21
    • (1972) Numer. Math. , vol.20 , pp. 1-21
    • Babuška, I.1
  • 39
  • 40
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • Babuška I. The finite element method with Lagrangian multipliers. Numer. Math. 20 (1973) 179-192
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuška, I.1
  • 41
    • 84966227273 scopus 로고
    • The finite element method with penalty
    • Babuška I. The finite element method with penalty. Math. Comp. 27 (1973) 221-228
    • (1973) Math. Comp. , vol.27 , pp. 221-228
    • Babuška, I.1
  • 42
    • 70350331844 scopus 로고
    • Method of weak elements
    • University of Maryland, New York
    • Babuška I. Method of weak elements. Technical Note BN-809 (1974), University of Maryland, New York
    • (1974) Technical Note BN-809
    • Babuška, I.1
  • 43
    • 0003054272 scopus 로고
    • Solution of problems with interfaces and singularities
    • de Boor C. (Ed), Academic Press, College Park, MD
    • Babuška I. Solution of problems with interfaces and singularities. In: de Boor C. (Ed). Mathematical Aspects of Finite Elements in Partial Differential Equations (1974), Academic Press, College Park, MD 213-277
    • (1974) Mathematical Aspects of Finite Elements in Partial Differential Equations , pp. 213-277
    • Babuška, I.1
  • 44
    • 0003470391 scopus 로고
    • Singularities problem in the finite element method
    • Bathe K.-J., Oden J.T., and Wunderlich W. (Eds), MIT Press, New York
    • Babuška I. Singularities problem in the finite element method. In: Bathe K.-J., Oden J.T., and Wunderlich W. (Eds). Formulation and Computational Algorithms in Finite Element Analysis (1976), MIT Press, New York 748-792
    • (1976) Formulation and Computational Algorithms in Finite Element Analysis , pp. 748-792
    • Babuška, I.1
  • 46
    • 0016939764 scopus 로고
    • On the angle condition in the finite element method
    • Babuška I., and Aziz A.K. On the angle condition in the finite element method. SIAM J. Numer. Anal. 13 (1976) 214-226
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 214-226
    • Babuška, I.1    Aziz, A.K.2
  • 47
    • 0000358355 scopus 로고
    • Nonuniform error estimates for the finite element method
    • Babuška I., and Kellogg R.B. Nonuniform error estimates for the finite element method. SIAM J. Numer. Anal. 12 (1975) 868-875
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 868-875
    • Babuška, I.1    Kellogg, R.B.2
  • 48
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method, Part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
    • Babuška I., and Miller A. The post-processing approach in the finite element method, Part 1: Calculation of displacements, stresses and other higher derivatives of the displacements. Internat. J. Numer. Methods Engrg. 20 (1984) 1085-1109
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 1085-1109
    • Babuška, I.1    Miller, A.2
  • 49
    • 0021440959 scopus 로고
    • The post-processing approach in the finite element method, Part 2: The calculation of stress intensity factors
    • Babuška I., and Miller A. The post-processing approach in the finite element method, Part 2: The calculation of stress intensity factors. Internat. J. Numer. Methods Engrg. 20 (1984) 1111-1129
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 1111-1129
    • Babuška, I.1    Miller, A.2
  • 50
    • 0013676421 scopus 로고
    • Analysis of finite element methods for second order boundary value problems using mesh dependent norms
    • Babuška I., and Osborn J. Analysis of finite element methods for second order boundary value problems using mesh dependent norms. Numer. Math. 34 (1980) 41-62
    • (1980) Numer. Math. , vol.34 , pp. 41-62
    • Babuška, I.1    Osborn, J.2
  • 51
    • 33645783427 scopus 로고
    • Finite element methods for the solution of problems with rough input data
    • Singularities and Constructive Methods for Their Treatment. Grisvard P., Wendland W., and Whiteman J.R. (Eds), Springer, New York
    • Babuška I., and Osborn J. Finite element methods for the solution of problems with rough input data. In: Grisvard P., Wendland W., and Whiteman J.R. (Eds). Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics 1121 (1986), Springer, New York 1-18
    • (1986) Lecture Notes in Mathematics , vol.1121 , pp. 1-18
    • Babuška, I.1    Osborn, J.2
  • 52
    • 0002641542 scopus 로고
    • A finite element scheme for domains with corners
    • Babuška I., and Rosenzweig M.B. A finite element scheme for domains with corners. Numer. Math. 20 (1972) 1-21
    • (1972) Numer. Math. , vol.20 , pp. 1-21
    • Babuška, I.1    Rosenzweig, M.B.2
  • 53
    • 0001537143 scopus 로고
    • Nonconforming elements in the finite element method with penalty
    • Babuška I., and Zlámal M. Nonconforming elements in the finite element method with penalty. SIAM J. Numer. Anal. 10 (1973) 863-875
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 863-875
    • Babuška, I.1    Zlámal, M.2
  • 54
    • 0002337937 scopus 로고
    • ∞ pour les inéquations à obstacle
    • Mathematical Aspects of Finite Element Methods. Galligani I., and Magenes E. (Eds), Springer, Berlin
    • ∞ pour les inéquations à obstacle. In: Galligani I., and Magenes E. (Eds). Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics 606 (1977), Springer, Berlin 27-34
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 27-34
    • Baiocchi, C.1
  • 56
    • 0039974980 scopus 로고
    • Disequazioni Variazionali e Quasi Variazionali: Applicazioni a Problemi di Frontiera Libera (2 Vols.)
    • English translation, Wiley-Interscience, Bologna
    • English translation. Baiocchi C., and Capelo A. Disequazioni Variazionali e Quasi Variazionali: Applicazioni a Problemi di Frontiera Libera (2 Vols.). Variational and Quasivariational Inequalities: Applications to Free Boundary Problems (1984), Wiley-Interscience, Bologna
    • (1984) Variational and Quasivariational Inequalities: Applications to Free Boundary Problems
    • Baiocchi, C.1    Capelo, A.2
  • 57
    • 84966242006 scopus 로고
    • Simplified proofs of error estimates for the least squares method for Dirichlet's problem
    • Baker G.A. Simplified proofs of error estimates for the least squares method for Dirichlet's problem. Math. Comp. 27 (1973) 229-235
    • (1973) Math. Comp. , vol.27 , pp. 229-235
    • Baker, G.A.1
  • 58
    • 0021383189 scopus 로고
    • One-dimensional Galerkin methods and superconvergence at interior nodal points
    • Bakker M. One-dimensional Galerkin methods and superconvergence at interior nodal points. SIAM J. Numer. Anal. 21 (1984) 101-110
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 101-110
    • Bakker, M.1
  • 61
    • 70350266505 scopus 로고
    • Blending function interpolation: A survey and some new results
    • (Oberwolfach)
    • (Oberwolfach). Barnhill R.E. Blending function interpolation: A survey and some new results. Numerische Methoden der Approximationstheorie Band 3 (1975) 43-89
    • (1975) Numerische Methoden der Approximationstheorie , vol.Band 3 , pp. 43-89
    • Barnhill, R.E.1
  • 63
    • 33646990854 scopus 로고
    • Curved nonconforming elements for plate problems
    • University of Dundee, London
    • Barnhill R.E., and Brown J.H. Curved nonconforming elements for plate problems. Rep. No. 8 (1975), University of Dundee, London
    • (1975) Rep. No. 8
    • Barnhill, R.E.1    Brown, J.H.2
  • 65
    • 0000399110 scopus 로고
    • 1 quintic interpolation over triangles: Two explicit representations
    • 1 quintic interpolation over triangles: Two explicit representations. Internat. J. Numer. Methods Engrg. 17 (1981) 1763-1778
    • (1981) Internat. J. Numer. Methods Engrg. , vol.17 , pp. 1763-1778
    • Barnhill, R.E.1    Farin, G.2
  • 66
    • 0001371116 scopus 로고
    • Compatible smooth interpolation in triangles
    • Barnhill R.E., and Gregory J.A. Compatible smooth interpolation in triangles. J. Approximation Theory 15 (1975) 214-225
    • (1975) J. Approximation Theory , vol.15 , pp. 214-225
    • Barnhill, R.E.1    Gregory, J.A.2
  • 67
    • 84966250196 scopus 로고
    • Polynomial interpolation to boundary data on triangles
    • Barnhill R.E., and Gregory J.A. Polynomial interpolation to boundary data on triangles. Math. Comp. 29 (1975) 726-735
    • (1975) Math. Comp. , vol.29 , pp. 726-735
    • Barnhill, R.E.1    Gregory, J.A.2
  • 68
    • 0012146119 scopus 로고
    • Sard kernel theorems on triangular domains with application to finite element error bounds
    • Barnhill R.E., and Gregory J.A. Sard kernel theorems on triangular domains with application to finite element error bounds. Numer. Math. 25 (1976) 215-229
    • (1976) Numer. Math. , vol.25 , pp. 215-229
    • Barnhill, R.E.1    Gregory, J.A.2
  • 69
    • 0000403508 scopus 로고
    • Interpolation remainder theory from Taylor expansions on triangles
    • Barnhill R.E., and Gregory J.A. Interpolation remainder theory from Taylor expansions on triangles. Numer. Math. 25 (1976) 401-408
    • (1976) Numer. Math. , vol.25 , pp. 401-408
    • Barnhill, R.E.1    Gregory, J.A.2
  • 70
    • 0012106384 scopus 로고
    • Error analysis of finite element methods with triangles for elliptic boundary value problems
    • Whiteman J.R. (Ed), Academic Press, London
    • Barnhill R.E., and Whiteman J.R. Error analysis of finite element methods with triangles for elliptic boundary value problems. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications (1973), Academic Press, London 83-112
    • (1973) The Mathematics of Finite Elements and Applications , pp. 83-112
    • Barnhill, R.E.1    Whiteman, J.R.2
  • 71
    • 0001346040 scopus 로고
    • Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities
    • Barnhill R.E., and Whiteman J.R. Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities. J. Inst. Math. Appl. 15 (1975) 121-125
    • (1975) J. Inst. Math. Appl. , vol.15 , pp. 121-125
    • Barnhill, R.E.1    Whiteman, J.R.2
  • 72
    • 0039419221 scopus 로고
    • A finite element method for solving elliptic equations with Neumann data on a curved boundary using unfitted meshes
    • Barrett J.W., and Elliott C.M. A finite element method for solving elliptic equations with Neumann data on a curved boundary using unfitted meshes. IMA J. Numer. Anal. 4 (1984) 309-325
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 309-325
    • Barrett, J.W.1    Elliott, C.M.2
  • 73
    • 0041198722 scopus 로고
    • A practical finite element approximation of a semi-definite Neumann problem on a curved domain
    • Barrett J.W., and Elliott C.M. A practical finite element approximation of a semi-definite Neumann problem on a curved domain. Numer. Math. 51 (1987) 23-36
    • (1987) Numer. Math. , vol.51 , pp. 23-36
    • Barrett, J.W.1    Elliott, C.M.2
  • 77
    • 84980102082 scopus 로고
    • A refined triangular plate bending element
    • Bell K. A refined triangular plate bending element. Internat. J. Numer. Methods Engrg. 1 (1969) 101-122
    • (1969) Internat. J. Numer. Methods Engrg. , vol.1 , pp. 101-122
    • Bell, K.1
  • 78
    • 0021478944 scopus 로고
    • A consistent control of spurious singular modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations
    • Belytschko T., and Ong J.S.-J. A consistent control of spurious singular modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations. Comput. Methods Appl. Mech. Engrg. 44 (1984) 269-295
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.44 , pp. 269-295
    • Belytschko, T.1    Ong, J.S.-J.2
  • 79
    • 27144460104 scopus 로고
    • Approximation of a degenerate boundary value problem by a finite element method
    • Bendalli A. Approximation of a degenerate boundary value problem by a finite element method. RAIRO Anal. Numér. 15 (1981) 87-99
    • (1981) RAIRO Anal. Numér. , vol.15 , pp. 87-99
    • Bendalli, A.1
  • 80
    • 33646992070 scopus 로고
    • 2-error estimates for finite elements with interpolated boundary conditions
    • 2-error estimates for finite elements with interpolated boundary conditions. Numer. Math. 21 (1973) 345-349
    • (1973) Numer. Math. , vol.21 , pp. 345-349
    • Berger, A.E.1
  • 82
    • 0000868816 scopus 로고
    • Approximate boundary conditions in the finite element method
    • Academic Press, Dayton, OH
    • Berger A.E., Scott R., and Strang G. Approximate boundary conditions in the finite element method. Symposia Mathematica 10 (1972), Academic Press, Dayton, OH 295-313
    • (1972) Symposia Mathematica , vol.10 , pp. 295-313
    • Berger, A.E.1    Scott, R.2    Strang, G.3
  • 84
    • 0017921907 scopus 로고
    • Méthodes d'éléments finis avec intégration numérique pour des problèmes elliptiques du quatrième ordre
    • Bernadou M., and Ducatel Y. Méthodes d'éléments finis avec intégration numérique pour des problèmes elliptiques du quatrième ordre. RAIRO Anal. Numér. 12 (1978) 3-26
    • (1978) RAIRO Anal. Numér. , vol.12 , pp. 3-26
    • Bernadou, M.1    Ducatel, Y.2
  • 85
    • 84986959258 scopus 로고
    • Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced
    • Bernadou M., and Hassan K. Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced. Internat. J. Numer. Methods Engrg. 17 (1981) 784-789
    • (1981) Internat. J. Numer. Methods Engrg. , vol.17 , pp. 784-789
    • Bernadou, M.1    Hassan, K.2
  • 86
    • 33746969164 scopus 로고
    • Contributions à l'Analyse Numérique de Problèmes Non Linéaires
    • Université Pierre et Marie Curie, Boston, MA
    • Bernardi C. Contributions à l'Analyse Numérique de Problèmes Non Linéaires. Doctoral Dissertation (1986), Université Pierre et Marie Curie, Boston, MA
    • (1986) Doctoral Dissertation
    • Bernardi, C.1
  • 87
    • 70350327452 scopus 로고
    • Optimal finite element interpolation on curved domains
    • Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris, France
    • Bernardi C. Optimal finite element interpolation on curved domains. Technical Rept. R88008 (1988), Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris, France
    • (1988) Technical Rept. R88008
    • Bernardi, C.1
  • 89
    • 0012179703 scopus 로고
    • Piecewise bicubic interpolation and approximation in polygons
    • Schoenberg I.J. (Ed), Academic Press, New York
    • Birkhoff G. Piecewise bicubic interpolation and approximation in polygons. In: Schoenberg I.J. (Ed). Approximation with Special Emphasis on Spline Functions (1969), Academic Press, New York 185-221
    • (1969) Approximation with Special Emphasis on Spline Functions , pp. 185-221
    • Birkhoff, G.1
  • 90
    • 0000139588 scopus 로고
    • Tricubic polynomial interpolation
    • Birkhoff G. Tricubic polynomial interpolation. Proc. Nat. Acad. Sci. U.S.A. 68 (1971) 1162-1164
    • (1971) Proc. Nat. Acad. Sci. U.S.A. , vol.68 , pp. 1162-1164
    • Birkhoff, G.1
  • 92
    • 0016102934 scopus 로고
    • Optimal few-point discretizations of linear source problems
    • Birkhoff G., and Gulati S. Optimal few-point discretizations of linear source problems. SIAM J. Numer. Anal. 11 (1974) 700-728
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 700-728
    • Birkhoff, G.1    Gulati, S.2
  • 93
    • 12244289452 scopus 로고
    • Compatible triangular finite elements
    • Birkhoff G., and Mansfield L. Compatible triangular finite elements. J. Math. Anal. Appl. 47 (1974) 531-553
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 531-553
    • Birkhoff, G.1    Mansfield, L.2
  • 94
    • 0000181256 scopus 로고
    • Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
    • Birkhoff G., Schultz M.H., and Varga R.S. Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Numer. Math. 11 (1968) 232-256
    • (1968) Numer. Math. , vol.11 , pp. 232-256
    • Birkhoff, G.1    Schultz, M.H.2    Varga, R.S.3
  • 95
    • 84966249968 scopus 로고
    • Higher order approximations to the boundary conditions for the finite element method
    • Blair J.J. Higher order approximations to the boundary conditions for the finite element method. Math. Comp. 30 (1976) 250-262
    • (1976) Math. Comp. , vol.30 , pp. 250-262
    • Blair, J.J.1
  • 96
    • 0019928319 scopus 로고
    • On finite element methods for elliptic equations on domains with corners
    • Blum H., and Dobrowolski M. On finite element methods for elliptic equations on domains with corners. Computing 28 (1983) 53-63
    • (1983) Computing , vol.28 , pp. 53-63
    • Blum, H.1    Dobrowolski, M.2
  • 97
    • 0002280148 scopus 로고
    • Asymptotic error expansion and Richardson extrapolation for linear finite elements
    • Blum H., Lin Q., and Rannacher R. Asymptotic error expansion and Richardson extrapolation for linear finite elements. Numer. Math. 49 (1986) 11-37
    • (1986) Numer. Math. , vol.49 , pp. 11-37
    • Blum, H.1    Lin, Q.2    Rannacher, R.3
  • 98
    • 84979130379 scopus 로고
    • On the boundary value problem of the biharmonic operator on domains with angular corners
    • Blum H., and Rannacher R. On the boundary value problem of the biharmonic operator on domains with angular corners. Math. Methods Appl. Sci. 2 (1980) 556-581
    • (1980) Math. Methods Appl. Sci. , vol.2 , pp. 556-581
    • Blum, H.1    Rannacher, R.2
  • 99
    • 70350328683 scopus 로고
    • Approximation en coordonnées barycentriques généralisées
    • Université Paul Sabatier, Toulouse, New York
    • Boattin M. Approximation en coordonnées barycentriques généralisées. Thèse (1988), Université Paul Sabatier, Toulouse, New York
    • (1988) Thèse
    • Boattin, M.1
  • 100
    • 0038552978 scopus 로고
    • The generation of interelement compatible stiffness and mass matrices by the use of interpolation formulas
    • Wright Patterson A.F.B., France
    • Bogner F.K., Fox R.L., and Schmit L.A. The generation of interelement compatible stiffness and mass matrices by the use of interpolation formulas. Proceedings Conference on Matrix Methods in Structural Mechanics (1965), Wright Patterson A.F.B., France 397-444
    • (1965) Proceedings Conference on Matrix Methods in Structural Mechanics , pp. 397-444
    • Bogner, F.K.1    Fox, R.L.2    Schmit, L.A.3
  • 102
    • 33646993534 scopus 로고
    • A survey of some finite element methods proposed for treating the Dirichlet problem
    • Bramble J.H. A survey of some finite element methods proposed for treating the Dirichlet problem. Adv. Math. 16 (1975) 187-196
    • (1975) Adv. Math. , vol.16 , pp. 187-196
    • Bramble, J.H.1
  • 103
    • 84966242349 scopus 로고
    • The Lagrange multiplier method for Dirichlet's problem
    • Bramble J.H. The Lagrange multiplier method for Dirichlet's problem. Math. Comp. 37 (1981) 1-12
    • (1981) Math. Comp. , vol.37 , pp. 1-12
    • Bramble, J.H.1
  • 104
    • 0001219569 scopus 로고
    • Projection methods for Dirichlet's problem in approximating polygonal domains with boundary-value corrections
    • Bramble J.H., Dupont T., and Thomée V. Projection methods for Dirichlet's problem in approximating polygonal domains with boundary-value corrections. Math. Comp. 26 (1972) 869-879
    • (1972) Math. Comp. , vol.26 , pp. 869-879
    • Bramble, J.H.1    Dupont, T.2    Thomée, V.3
  • 105
    • 0014749272 scopus 로고
    • Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation
    • Bramble J.H., and Hilbert S.R. Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. SIAM J. Numer. Anal. 7 (1970) 113-124
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 113-124
    • Bramble, J.H.1    Hilbert, S.R.2
  • 106
    • 0000497851 scopus 로고
    • Bounds for a class of linear functionals with applications to Hermite interpolation
    • Bramble J.H., and Hilbert S.R. Bounds for a class of linear functionals with applications to Hermite interpolation. Numer. Math. 16 (1971) 362-369
    • (1971) Numer. Math. , vol.16 , pp. 362-369
    • Bramble, J.H.1    Hilbert, S.R.2
  • 107
    • 84968498740 scopus 로고
    • Convergence estimates for essentially positive type discrete problems
    • Bramble J.H., Hubbard B.E., and Thomée V. Convergence estimates for essentially positive type discrete problems. Math. Comp. 23 (1969) 695-710
    • (1969) Math. Comp. , vol.23 , pp. 695-710
    • Bramble, J.H.1    Hubbard, B.E.2    Thomée, V.3
  • 108
    • 0002191340 scopus 로고
    • A generalized Ritz-least-squares method for Dirichlet problems
    • Bramble J.H., and Nitsche J.A. A generalized Ritz-least-squares method for Dirichlet problems. SIAM J. Numer. Anal. 10 (1973) 81-93
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 81-93
    • Bramble, J.H.1    Nitsche, J.A.2
  • 109
    • 84966217537 scopus 로고
    • Maximum-norm interior estimates for Ritz-Galerkin methods
    • Bramble J.H., Nitsche J.A., and Schatz A.H. Maximum-norm interior estimates for Ritz-Galerkin methods. Math. Comp. 29 (1975) 677-688
    • (1975) Math. Comp. , vol.29 , pp. 677-688
    • Bramble, J.H.1    Nitsche, J.A.2    Schatz, A.H.3
  • 110
    • 84980146079 scopus 로고
    • Rayleigh-Ritz-Galerkin methods for Dirichlet's problem using subspaces without boundary conditions
    • Bramble J.H., and Schatz A.H. Rayleigh-Ritz-Galerkin methods for Dirichlet's problem using subspaces without boundary conditions. Comm. Pure Appl. Math. 23 (1970) 653-675
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 653-675
    • Bramble, J.H.1    Schatz, A.H.2
  • 111
    • 84968466812 scopus 로고
    • Least squares methods for 2mth order elliptic boundary-value problems
    • Bramble J.H., and Schatz A.H. Least squares methods for 2mth order elliptic boundary-value problems. Math. Comp. 25 (1971) 1-32
    • (1971) Math. Comp. , vol.25 , pp. 1-32
    • Bramble, J.H.1    Schatz, A.H.2
  • 114
    • 84966218699 scopus 로고
    • Simultaneous approximation in scales of Banach spaces
    • Bramble J.H., and Scott R. Simultaneous approximation in scales of Banach spaces. Math. Comp. 32 (1978) 947-954
    • (1978) Math. Comp. , vol.32 , pp. 947-954
    • Bramble, J.H.1    Scott, R.2
  • 116
    • 84968520482 scopus 로고
    • Triangular elements in the finite element method
    • Bramble J.H., and Zlámal M. Triangular elements in the finite element method. Math. Comp. 24 (1970) 809-820
    • (1970) Math. Comp. , vol.24 , pp. 809-820
    • Bramble, J.H.1    Zlámal, M.2
  • 118
    • 0001585127 scopus 로고
    • Sur la régularité de la solution d'inéquations elliptiques
    • Brezis H., and Stampacchia G. Sur la régularité de la solution d'inéquations elliptiques. Bull. Soc. Math. France 96 (1968) 153-180
    • (1968) Bull. Soc. Math. France , vol.96 , pp. 153-180
    • Brezis, H.1    Stampacchia, G.2
  • 119
    • 0012178657 scopus 로고
    • Une nouvelle méthode pour l'étude d'écoulements stationnaires
    • Brezis H., and Stampacchia G. Une nouvelle méthode pour l'étude d'écoulements stationnaires. C.R. Acad. Sci. Paris Sér A 276 (1973) 129-132
    • (1973) C.R. Acad. Sci. Paris Sér A , vol.276 , pp. 129-132
    • Brezis, H.1    Stampacchia, G.2
  • 120
    • 0000947683 scopus 로고
    • Error estimates for the finite element solution of variational inequalities, Part 1: Primal theory
    • Brezzi F., Hager W.W., and Raviart P.-A. Error estimates for the finite element solution of variational inequalities, Part 1: Primal theory. Numer. Math. 28 (1977) 431-443
    • (1977) Numer. Math. , vol.28 , pp. 431-443
    • Brezzi, F.1    Hager, W.W.2    Raviart, P.-A.3
  • 121
    • 84966248377 scopus 로고
    • Analysis of a mixed finite element method for elasto-plastic plates
    • Brezzi F., Johnson C., and Mercier B. Analysis of a mixed finite element method for elasto-plastic plates. Math. Comp. 31 (1977) 809-817
    • (1977) Math. Comp. , vol.31 , pp. 809-817
    • Brezzi, F.1    Johnson, C.2    Mercier, B.3
  • 123
    • 0001890319 scopus 로고
    • Mixed finite element methods for 4th order elliptic equations
    • Centre de Mathématiques Appliquées, Ecole Polytechnique, Paris
    • Brezzi F., and Raviart P.-A. Mixed finite element methods for 4th order elliptic equations. Rapport interne No. 9 (1976), Centre de Mathématiques Appliquées, Ecole Polytechnique, Paris
    • (1976) Rapport interne No. 9
    • Brezzi, F.1    Raviart, P.-A.2
  • 124
    • 33646990685 scopus 로고
    • Application de la méthode des eléments finis à la résolution numérique d'inéquations variationnelles d'evolution de type Bingham
    • Université Pierre et Marie Curie, Palaiseau
    • Bristeau M.-O. Application de la méthode des eléments finis à la résolution numérique d'inéquations variationnelles d'evolution de type Bingham. Doctoral Thesis (3ème Cycle) (1975), Université Pierre et Marie Curie, Palaiseau
    • (1975) Doctoral Thesis (3ème Cycle)
    • Bristeau, M.-O.1
  • 125
    • 0017009584 scopus 로고
    • An analysis of finite element equations and mesh subdivisions
    • Carey G.F. An analysis of finite element equations and mesh subdivisions. Comput. Methods Appl. Mech. Engrg. 9 (1976) 165-179
    • (1976) Comput. Methods Appl. Mech. Engrg. , vol.9 , pp. 165-179
    • Carey, G.F.1
  • 126
    • 0002502010 scopus 로고
    • Error bounds for bicubic spline interpolation
    • Carlson R.E., and Hall C.A. Error bounds for bicubic spline interpolation. J. Approximation Theory 4 (1973) 41-47
    • (1973) J. Approximation Theory , vol.4 , pp. 41-47
    • Carlson, R.E.1    Hall, C.A.2
  • 128
    • 16244389389 scopus 로고
    • 2 estimates for the finite element method for the Dirichlet problem with singular data
    • 2 estimates for the finite element method for the Dirichlet problem with singular data. Numer. Math. 47 (1985) 627-632
    • (1985) Numer. Math. , vol.47 , pp. 627-632
    • Casas, E.1
  • 129
    • 0000155160 scopus 로고
    • Ritz-Galerkin approximations in blending function spaces
    • Cavendish J.C., Gordon W.J., and Hall C.A. Ritz-Galerkin approximations in blending function spaces. Numer. Math. 26 (1976) 155-178
    • (1976) Numer. Math. , vol.26 , pp. 155-178
    • Cavendish, J.C.1    Gordon, W.J.2    Hall, C.A.3
  • 130
    • 0000994637 scopus 로고
    • Approximation variationnelle des problèmes aux limites
    • Céa J. Approximation variationnelle des problèmes aux limites. Ann. Inst. Fourier (Grenoble) 14 (1964) 345-444
    • (1964) Ann. Inst. Fourier (Grenoble) , vol.14 , pp. 345-444
    • Céa, J.1
  • 131
    • 33646991908 scopus 로고
    • Approximation variationnelle; convergence des éléments finis; un test
    • Université de Rennes, Paris
    • Céa J. Approximation variationnelle; convergence des éléments finis; un test. Journées Eléments Finis (1976), Université de Rennes, Paris
    • (1976) Journées Eléments Finis
    • Céa, J.1
  • 132
    • 70350278987 scopus 로고
    • The finite element solution of second order elliptic problems with the Newton boundary condition
    • Cermák L. The finite element solution of second order elliptic problems with the Newton boundary condition. Apl. Mat. 28 (1983) 430-456
    • (1983) Apl. Mat. , vol.28 , pp. 430-456
    • Cermák, L.1
  • 133
    • 70350330567 scopus 로고
    • A note on a discrete form of Friedrichs' inequality
    • Čermák L. A note on a discrete form of Friedrichs' inequality. Apl. Mat. 28 (1983) 457-466
    • (1983) Apl. Mat. , vol.28 , pp. 457-466
    • Čermák, L.1
  • 136
    • 0018736810 scopus 로고
    • Error estimates of finite element approximations for problems in linear elasticity, Part 1: Problems in elastostatics
    • Chou S.-I., and Wang C.-C. Error estimates of finite element approximations for problems in linear elasticity, Part 1: Problems in elastostatics. Arch. Rational Mech. Anal. 72 (1979) 41-60
    • (1979) Arch. Rational Mech. Anal. , vol.72 , pp. 41-60
    • Chou, S.-I.1    Wang, C.-C.2
  • 137
    • 12244267518 scopus 로고
    • 2) method for a non-smooth boundary value problem
    • 2) method for a non-smooth boundary value problem. Aequationes Math. 2 (1968) 39-49
    • (1968) Aequationes Math. , vol.2 , pp. 39-49
    • Ciarlet, P.G.1
  • 138
    • 0012106853 scopus 로고
    • Discrete variational Green's function, I
    • Ciarlet P.G. Discrete variational Green's function, I. Aequationes Math. 4 (1970) 74-82
    • (1970) Aequationes Math. , vol.4 , pp. 74-82
    • Ciarlet, P.G.1
  • 139
    • 0012413845 scopus 로고
    • Discrete maximum principle for finite-difference operators
    • Ciarlet P.G. Discrete maximum principle for finite-difference operators. Aequationes Math. 4 (1970) 338-352
    • (1970) Aequationes Math. , vol.4 , pp. 338-352
    • Ciarlet, P.G.1
  • 141
    • 0012106656 scopus 로고
    • Conforming and nonconforming finite element methods for solving the plate problem
    • Conference on the Numerical Solution of Differential Equations. Watson G.A. (Ed), Springer, Paris, France
    • Ciarlet P.G. Conforming and nonconforming finite element methods for solving the plate problem. In: Watson G.A. (Ed). Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics 363 (1974), Springer, Paris, France 21-31
    • (1974) Lecture Notes in Mathematics , vol.363 , pp. 21-31
    • Ciarlet, P.G.1
  • 142
    • 85013526204 scopus 로고
    • Quelques méthodes d'éléments finis pour le problème d'une plaque encastrée
    • Computing Methods in Applied Sciences and Engineering. Glowinski R., and Lions J.L. (Eds), Springer, Berlin
    • Ciarlet P.G. Quelques méthodes d'éléments finis pour le problème d'une plaque encastrée. In: Glowinski R., and Lions J.L. (Eds). Computing Methods in Applied Sciences and Engineering. Lecture Notes in Computer Science 10 (1974), Springer, Berlin 156-176
    • (1974) Lecture Notes in Computer Science , vol.10 , pp. 156-176
    • Ciarlet, P.G.1
  • 145
    • 0003470393 scopus 로고
    • Numerical Analysis of the Finite Element Method
    • Presses de l'Université de Montréal, Bombay
    • Ciarlet P.G. Numerical Analysis of the Finite Element Method. Séminaire de Mathématiques Supérieures (1976), Presses de l'Université de Montréal, Bombay
    • (1976) Séminaire de Mathématiques Supérieures
    • Ciarlet, P.G.1
  • 148
    • 70350330573 scopus 로고
    • Introduction à l'Analyse Numérique Matricielle et à l'Optimisation
    • English translation, Cambridge University Press, Paris
    • English translation. Ciarlet P.G. Introduction à l'Analyse Numérique Matricielle et à l'Optimisation. Introduction to Numerical Linear Algebra and Optimization (1989), Cambridge University Press, Paris
    • (1989) Introduction to Numerical Linear Algebra and Optimization
    • Ciarlet, P.G.1
  • 151
    • 0018322217 scopus 로고
    • A justification of the two-dimensional linear plate model
    • Ciarlet P.G., and Destuynder P. A justification of the two-dimensional linear plate model. J. Mécanique 18 (1979) 315-344
    • (1979) J. Mécanique , vol.18 , pp. 315-344
    • Ciarlet, P.G.1    Destuynder, P.2
  • 152
    • 0019560197 scopus 로고
    • Two-dimensional approximation of three-dimersional eigenvalue problems in plate theory
    • Ciarlet P.G., and Kesavan S. Two-dimensional approximation of three-dimersional eigenvalue problems in plate theory. Comput. Methods Appl. Mech. Engrg. 26 (1980) 149-172
    • (1980) Comput. Methods Appl. Mech. Engrg. , vol.26 , pp. 149-172
    • Ciarlet, P.G.1    Kesavan, S.2
  • 153
    • 0001852896 scopus 로고
    • Numerical methods of high-order accuracy for singular nonlinear boundary value problems
    • Ciarlet P.G., Natterer F., and Varga R.S. Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Numer. Math. 15 (1970) 87-99
    • (1970) Numer. Math. , vol.15 , pp. 87-99
    • Ciarlet, P.G.1    Natterer, F.2    Varga, R.S.3
  • 156
    • 0001043045 scopus 로고
    • Interpolation theory over curved elements, with applications to finite element methods
    • Ciarlet P.G., and Raviart P.-A. Interpolation theory over curved elements, with applications to finite element methods. Comput. Methods Appl. Mech. Engrg. 1 (1972) 217-249
    • (1972) Comput. Methods Appl. Mech. Engrg. , vol.1 , pp. 217-249
    • Ciarlet, P.G.1    Raviart, P.-A.2
  • 158
    • 0002214041 scopus 로고
    • Maximum principle and uniform convergence for the finite element method
    • Ciarlet P.G., and Raviart P.-A. Maximum principle and uniform convergence for the finite element method. Comput. Methods Appl. Mech. Engrg. 2 (1973) 17-31
    • (1973) Comput. Methods Appl. Mech. Engrg. , vol.2 , pp. 17-31
    • Ciarlet, P.G.1    Raviart, P.-A.2
  • 159
    • 33646991032 scopus 로고
    • Discrete variational Green's function, II: One dimensional problem
    • Ciarlet P.G., and Varga R.S. Discrete variational Green's function, II: One dimensional problem. Numer. Math. 16 (1970) 115-128
    • (1970) Numer. Math. , vol.16 , pp. 115-128
    • Ciarlet, P.G.1    Varga, R.S.2
  • 160
    • 0002870946 scopus 로고
    • Multipoint Taylor formulas and applications to the finite element method
    • Ciarlet P.G., and Wagschal C. Multipoint Taylor formulas and applications to the finite element method. Numer. Math. 17 (1971) 84-100
    • (1971) Numer. Math. , vol.17 , pp. 84-100
    • Ciarlet, P.G.1    Wagschal, C.2
  • 161
    • 34250115803 scopus 로고
    • A finite element method scheme for one dimensional elliptic equations with high super convergence at the nodes
    • Ciavaldini J.F., and Crouzeix M. A finite element method scheme for one dimensional elliptic equations with high super convergence at the nodes. Numer. Math. 46 (1985) 417-427
    • (1985) Numer. Math. , vol.46 , pp. 417-427
    • Ciavaldini, J.F.1    Crouzeix, M.2
  • 163
    • 33646991923 scopus 로고
    • A finite element method to compute stationary steady state flows in the hodograph plane
    • Ciavaldini J.F., and Tournemine G. A finite element method to compute stationary steady state flows in the hodograph plane. J. Indian Math. Soc. 41 (1977) 69-89
    • (1977) J. Indian Math. Soc. , vol.41 , pp. 69-89
    • Ciavaldini, J.F.1    Tournemine, G.2
  • 164
    • 33646991111 scopus 로고
    • Méthode des éléments finis appliquée à des problèmes variationnels de type indéfini
    • Ecole Polytechnique Fédérale de Lausanne, New York
    • Clément P. Méthode des éléments finis appliquée à des problèmes variationnels de type indéfini. Doctoral Thesis (1974), Ecole Polytechnique Fédérale de Lausanne, New York
    • (1974) Doctoral Thesis
    • Clément, P.1
  • 167
    • 0001843832 scopus 로고
    • Finite element stiffness matrices for analysis of plates in bending
    • Wright Patterson A.F.B., Lausanne, Switzerland
    • Clough R.W., and Tocher J.L. Finite element stiffness matrices for analysis of plates in bending. Proceedings Conference on Matrix Methods in Structural Mechanics (1965), Wright Patterson A.F.B., Lausanne, Switzerland 515-545
    • (1965) Proceedings Conference on Matrix Methods in Structural Mechanics , pp. 515-545
    • Clough, R.W.1    Tocher, J.L.2
  • 168
    • 0000406561 scopus 로고
    • Approximation et interpolation des fonctions différentiables de plusieurs variables
    • Coatmélec C. Approximation et interpolation des fonctions différentiables de plusieurs variables. Ann. Sci. Ecole Norm. Sup. 83 (1966) 271-341
    • (1966) Ann. Sci. Ecole Norm. Sup. , vol.83 , pp. 271-341
    • Coatmélec, C.1
  • 170
    • 84960798507 scopus 로고
    • Variational methods for the solution of problems of equilibrium and vibrations
    • Courant R. Variational methods for the solution of problems of equilibrium and vibrations. Bull. Amer. Math. Soc. 49 (1943) 1-23
    • (1943) Bull. Amer. Math. Soc. , vol.49 , pp. 1-23
    • Courant, R.1
  • 176
    • 84966243417 scopus 로고
    • 2 projection onto finite element function spaces
    • 2 projection onto finite element function spaces. Math. Comp. 48 (1987) 521-532
    • (1987) Math. Comp. , vol.48 , pp. 521-532
    • Crouzeix, M.1    Thomée, V.2
  • 177
    • 33646992692 scopus 로고
    • Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems
    • Dailey J.W., and Pierce J.G. Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems. Numer. Math. 19 (1972) 266-282
    • (1972) Numer. Math. , vol.19 , pp. 266-282
    • Dailey, J.W.1    Pierce, J.G.2
  • 178
    • 0004143319 scopus 로고
    • Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques
    • Masson, Paris
    • Dautray R., and Lions J.-L. Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques. Collection du Commissariat à l'Energie Atomique (1984), Masson, Paris
    • (1984) Collection du Commissariat à l'Energie Atomique
    • Dautray, R.1    Lions, J.-L.2
  • 180
    • 70350312937 scopus 로고
    • 1, à seize paramètres, contenant les polynômes de degré deux
    • Institut de Mathématiques, Université de Fribourg, New York
    • 1, à seize paramètres, contenant les polynômes de degré deux. Report (1976), Institut de Mathématiques, Université de Fribourg, New York
    • (1976) Report
    • Délèze, M.1    Goël, J.-J.2
  • 182
    • 70350331838 scopus 로고
    • Two basic properties of finite elements
    • Départment de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Fribourg, France
    • Descloux J. Two basic properties of finite elements. Report (1973), Départment de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Fribourg, France
    • (1973) Report
    • Descloux, J.1
  • 183
    • 33646993050 scopus 로고
    • Interior regularity and local convergence of Galerkin finite element approximations for elliptic equations
    • Miller J.J.H. (Ed), Academic Press, Switzerland
    • Descloux J. Interior regularity and local convergence of Galerkin finite element approximations for elliptic equations. In: Miller J.J.H. (Ed). Topics in Numerical Analysis II (1975), Academic Press, Switzerland 27-41
    • (1975) Topics in Numerical Analysis , vol.II , pp. 27-41
    • Descloux, J.1
  • 185
    • 85013517849 scopus 로고
    • ∞ estimates for finite element approximations of solutions of elliptic equations
    • Mathematical Aspects of Finite Element Methods. Galligani I., and Magenes E. (Eds), Springer, New York
    • ∞ estimates for finite element approximations of solutions of elliptic equations. In: Galligani I., and Magenes E. (Eds). Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics 606 (1977), Springer, New York 56-63
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 56-63
    • Descloux, J.1    Nassif, N.2
  • 186
    • 0000477019 scopus 로고
    • Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
    • Destuynder P. Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité. RAIRO Anal. Numér. 15 (1981) 331-369
    • (1981) RAIRO Anal. Numér. , vol.15 , pp. 331-369
    • Destuynder, P.1
  • 191
    • 51249192222 scopus 로고
    • Résolution approchée de problèmes aux limites elliptiques par des schémas aux éléments finis à plusieurs fonctions arbitraires
    • di Guglielmo F. Résolution approchée de problèmes aux limites elliptiques par des schémas aux éléments finis à plusieurs fonctions arbitraires. Calcolo 8 (1971) 185-213
    • (1971) Calcolo , vol.8 , pp. 185-213
    • di Guglielmo, F.1
  • 192
    • 51249192222 scopus 로고
    • Résolution approchée de problèmes aux limites elliptiques par des schémas aux éléments finis à plusieurs fonctions arbitraires
    • di Guglielmo F. Résolution approchée de problèmes aux limites elliptiques par des schémas aux éléments finis à plusieurs fonctions arbitraires. Calcolo 8 (1971) 185-213
    • (1971) Calcolo , vol.8 , pp. 185-213
    • di Guglielmo, F.1
  • 193
    • 0012108116 scopus 로고
    • Superconvergence for Galerkin Methods for the two point boundary problem via local projections
    • Douglas Jr. J., and Dupont T. Superconvergence for Galerkin Methods for the two point boundary problem via local projections. Numer. Math. 21 (1973) 270-278
    • (1973) Numer. Math. , vol.21 , pp. 270-278
    • Douglas Jr., J.1    Dupont, T.2
  • 194
    • 0005722496 scopus 로고
    • Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
    • Douglas Jr. J., and Dupont T. Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Numer. Math. 22 (1974) 99-109
    • (1974) Numer. Math. , vol.22 , pp. 99-109
    • Douglas Jr., J.1    Dupont, T.2
  • 195
    • 0001456343 scopus 로고
    • Interior penalty procedures for elliptic and parabolic Galerkin methods
    • Computing Methods in Applied Sciences. Glowinski R., and Lions J.L. (Eds), Springer, Paris
    • Douglas Jr. J., and Dupont T. Interior penalty procedures for elliptic and parabolic Galerkin methods. In: Glowinski R., and Lions J.L. (Eds). Computing Methods in Applied Sciences. Lecture Notes in Physics 58 (1976), Springer, Paris 207-216
    • (1976) Lecture Notes in Physics , vol.58 , pp. 207-216
    • Douglas Jr., J.1    Dupont, T.2
  • 198
    • 84966235254 scopus 로고
    • ∞ error estimates for Galerkin approximations to solutions of two point boundary value problems
    • ∞ error estimates for Galerkin approximations to solutions of two point boundary value problems. Math. Comp. 29 (1975) 475-483
    • (1975) Math. Comp. , vol.29 , pp. 475-483
    • Douglas Jr., J.1    Dupont, T.2    Wahlbin, L.3
  • 202
    • 0001935440 scopus 로고
    • Splines minimizing rotation: invariant semi-norms in Sobolev spaces
    • Constructive Theory of Functions of Several Variables, Springer, Berlin
    • Duchon J. Splines minimizing rotation: invariant semi-norms in Sobolev spaces. Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics 571 (1977), Springer, Berlin 85-100
    • (1977) Lecture Notes in Mathematics , vol.571 , pp. 85-100
    • Duchon, J.1
  • 203
    • 0022076980 scopus 로고
    • High degree efficient symmetrical Gaussian quadrature rules for the triangle
    • Dunavant D.A. High degree efficient symmetrical Gaussian quadrature rules for the triangle. Internat. J. Numer. Meth. Engrg. 21 (1985) 1129-1148
    • (1985) Internat. J. Numer. Meth. Engrg. , vol.21 , pp. 1129-1148
    • Dunavant, D.A.1
  • 204
    • 0022677758 scopus 로고
    • Efficient symmetrical cubature rules for complete polynomials of high degree over the unit cube
    • Dunavant D.A. Efficient symmetrical cubature rules for complete polynomials of high degree over the unit cube. Internat. J. Numer. Meth. Engrg. 23 (1986) 397-407
    • (1986) Internat. J. Numer. Meth. Engrg. , vol.23 , pp. 397-407
    • Dunavant, D.A.1
  • 205
    • 0043124392 scopus 로고
    • Constructive polynomial approximation in Sobolov spaces
    • de Boor C., and Golub G. (Eds), Academic Press, Berlin
    • Dupont T., and Scott R. Constructive polynomial approximation in Sobolov spaces. In: de Boor C., and Golub G. (Eds). Recent Advances in Numerical Analysis (1978), Academic Press, Berlin 31-44
    • (1978) Recent Advances in Numerical Analysis , pp. 31-44
    • Dupont, T.1    Scott, R.2
  • 206
    • 84966247716 scopus 로고
    • Polynomial approximation of functions in Sobolov spaces
    • Dupont T., and Scott R. Polynomial approximation of functions in Sobolov spaces. Math. Comp. 34 (1980) 441-463
    • (1980) Math. Comp. , vol.34 , pp. 441-463
    • Dupont, T.1    Scott, R.2
  • 208
    • 84966235841 scopus 로고
    • Quasi-optimal estimates for finite element approximations using Orlicz norms
    • Durán R.G. Quasi-optimal estimates for finite element approximations using Orlicz norms. Math. Comp. 49 (1987) 17-23
    • (1987) Math. Comp. , vol.49 , pp. 17-23
    • Durán, R.G.1
  • 211
    • 0022792612 scopus 로고
    • Derivation of Lagrangian and Hermitian shape functions for quadrilateral finite elements
    • El-Zafrany A., and Cookson R.A. Derivation of Lagrangian and Hermitian shape functions for quadrilateral finite elements. Internat. J. Numer. Meth. Engrg. 23 (1986) 1939-1958
    • (1986) Internat. J. Numer. Meth. Engrg. , vol.23 , pp. 1939-1958
    • El-Zafrany, A.1    Cookson, R.A.2
  • 213
    • 84966242581 scopus 로고
    • Improved accuracy by adapted mesh-refinements in the finite element method
    • Eriksson K. Improved accuracy by adapted mesh-refinements in the finite element method. Math. Comp. 44 (1985) 321-343
    • (1985) Math. Comp. , vol.44 , pp. 321-343
    • Eriksson, K.1
  • 214
    • 84966236182 scopus 로고
    • Finite element methods of optimal order for problems with singular data
    • Eriksson K. Finite element methods of optimal order for problems with singular data. Math. Comp. 44 (1985) 345-360
    • (1985) Math. Comp. , vol.44 , pp. 345-360
    • Eriksson, K.1
  • 215
    • 84966202704 scopus 로고
    • Higher order local rate of convergence by mesh refinement in the finite element method
    • Eriksson K. Higher order local rate of convergence by mesh refinement in the finite element method. Math. Comp. 45 (1985) 109-142
    • (1985) Math. Comp. , vol.45 , pp. 109-142
    • Eriksson, K.1
  • 216
    • 84966258619 scopus 로고
    • Galerkin methods for singular boundary value problems in one space dimension
    • Eriksson K., and Thomée V. Galerkin methods for singular boundary value problems in one space dimension. Math. Comp. 42 (1984) 345-367
    • (1984) Math. Comp. , vol.42 , pp. 345-367
    • Eriksson, K.1    Thomée, V.2
  • 217
    • 0000003984 scopus 로고
    • Error estimates for the approximation of a class of variational inequalities
    • Falk R.S. Error estimates for the approximation of a class of variational inequalities. Math. Comp. 28 (1974) 963-971
    • (1974) Math. Comp. , vol.28 , pp. 963-971
    • Falk, R.S.1
  • 220
    • 0012186340 scopus 로고
    • Refined finite element analysis of linear and nonlinear two-dimensional structures
    • University of California, Paris
    • Felippa C.A. Refined finite element analysis of linear and nonlinear two-dimensional structures. Doctoral Thesis (1966), University of California, Paris
    • (1966) Doctoral Thesis
    • Felippa, C.A.1
  • 221
    • 0012144725 scopus 로고
    • The finite element method in solid mechanics
    • Birkhoff G., and Varga R.S. (Eds), American Mathematical Society, Berkeley, CA
    • Felippa C.A., and Clough R.W. The finite element method in solid mechanics. In: Birkhoff G., and Varga R.S. (Eds). Numerical Solution of Field Problems in Continuum Mechanics (1970), American Mathematical Society, Berkeley, CA 210-252
    • (1970) Numerical Solution of Field Problems in Continuum Mechanics , pp. 210-252
    • Felippa, C.A.1    Clough, R.W.2
  • 222
    • 0000390501 scopus 로고
    • Existence theorems in elasticity
    • Springer, Providence, RI
    • Fichera G. Existence theorems in elasticity. Handbuch der Physik VIa/2 (1972), Springer, Providence, RI 347-389
    • (1972) Handbuch der Physik , vol.VIa-2 , pp. 347-389
    • Fichera, G.1
  • 223
    • 0000390505 scopus 로고
    • Boundary value problems of elasticity with unilateral constraints
    • Springer, Berlin
    • Fichera G. Boundary value problems of elasticity with unilateral constraints. Handbuch der Physik VIa/2 (1972), Springer, Berlin 391-424
    • (1972) Handbuch der Physik , vol.VIa-2 , pp. 391-424
    • Fichera, G.1
  • 224
    • 22844433613 scopus 로고
    • ∞-error estimates for variational inequalities with Hölder continuous obstacle
    • ∞-error estimates for variational inequalities with Hölder continuous obstacle. RAIRO Anal. Numér. 16 (1982) 27-37
    • (1982) RAIRO Anal. Numér. , vol.16 , pp. 27-37
    • Finzi-Vita, S.1
  • 225
    • 0012145451 scopus 로고
    • Higher-order Rayleigh-Ritz approximations
    • Fix G.J. Higher-order Rayleigh-Ritz approximations. J. Math. Mech. 18 (1969) 645-658
    • (1969) J. Math. Mech. , vol.18 , pp. 645-658
    • Fix, G.J.1
  • 226
    • 0012184288 scopus 로고
    • On the effects of quadrature in the finite element method
    • Oden J.T., Clough R.W., and Yamamoto Y. (Eds), The University of Alabama Press, Berlin
    • Fix G.J. On the effects of quadrature in the finite element method. In: Oden J.T., Clough R.W., and Yamamoto Y. (Eds). Advances in Computational Methods in Structural Mechanics and Design (1972), The University of Alabama Press, Berlin 55-68
    • (1972) Advances in Computational Methods in Structural Mechanics and Design , pp. 55-68
    • Fix, G.J.1
  • 227
    • 0012145648 scopus 로고
    • Effects of quadrature errors in finite element approximation of steady state, eigenvalue and parabolic problems
    • Aziz A.K. (Ed), Academic Press, Huntsville, AL
    • Fix G.J. Effects of quadrature errors in finite element approximation of steady state, eigenvalue and parabolic problems. In: Aziz A.K. (Ed). The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (1972), Academic Press, Huntsville, AL 525-556
    • (1972) The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations , pp. 525-556
    • Fix, G.J.1
  • 228
    • 0000568642 scopus 로고
    • On the use of singular functions with finite element approximations
    • Fix G.J., Gulati S., and Wakoff G.I. On the use of singular functions with finite element approximations. J. Comput. Phys. 13 (1973) 209-228
    • (1973) J. Comput. Phys. , vol.13 , pp. 209-228
    • Fix, G.J.1    Gulati, S.2    Wakoff, G.I.3
  • 229
    • 0014563596 scopus 로고
    • Fourier analysis of the finite element method in Ritz-Galerkin theory
    • Fix G.J., and Strang G. Fourier analysis of the finite element method in Ritz-Galerkin theory. Stud. Appl. Math. 48 (1969) 265-273
    • (1969) Stud. Appl. Math. , vol.48 , pp. 265-273
    • Fix, G.J.1    Strang, G.2
  • 230
    • 12244306712 scopus 로고
    • Calcul numérique des ecoulements des fluides de Bingham et des fluides Newtoniens incompressibles par des méthodes d'eléments finis
    • Université de Paris VI, New York
    • Fortin M. Calcul numérique des ecoulements des fluides de Bingham et des fluides Newtoniens incompressibles par des méthodes d'eléments finis. Doctoral Thesis (1972), Université de Paris VI, New York
    • (1972) Doctoral Thesis
    • Fortin, M.1
  • 231
    • 0004495120 scopus 로고
    • A three-dimensional quadratic nonconforming element
    • Fortin M. A three-dimensional quadratic nonconforming element. Numer. Math. 46 (1985) 269-279
    • (1985) Numer. Math. , vol.46 , pp. 269-279
    • Fortin, M.1
  • 232
    • 0020735864 scopus 로고
    • A non-conforming piecewise quadratic finite element on triangles
    • Fortin M., and Soulie M. A non-conforming piecewise quadratic finite element on triangles. Internat. J. Numer. Methods Engrg. 19 (1983) 505-520
    • (1983) Internat. J. Numer. Methods Engrg. , vol.19 , pp. 505-520
    • Fortin, M.1    Soulie, M.2
  • 235
    • 0002230465 scopus 로고
    • 1-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finite elemente
    • 1-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finite elemente. Bonner Math. Schriften 89 (1976) 92-114
    • (1976) Bonner Math. Schriften , vol.89 , pp. 92-114
    • Frehse, J.1    Rannacher, R.2
  • 236
    • 0039298773 scopus 로고
    • ∞-error estimates for linear finite element approximations of quasilinear boundary value problems
    • ∞-error estimates for linear finite element approximations of quasilinear boundary value problems. SIAM J. Numer. Anal. 15 (1978) 418-431
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 418-431
    • Frehse, J.1    Rannacher, R.2
  • 237
    • 12244291054 scopus 로고
    • Etude de structures visco-elastiques stratifées soumises à des charges harmoniques, et de solides elastiques reposant sur ces structures
    • Université Pierre et Marie Curie (Paris Vi), New York
    • Fremond M. Etude de structures visco-elastiques stratifées soumises à des charges harmoniques, et de solides elastiques reposant sur ces structures. Doctoral Thesis (1971), Université Pierre et Marie Curie (Paris Vi), New York
    • (1971) Doctoral Thesis
    • Fremond, M.1
  • 238
    • 70350330570 scopus 로고
    • Utilisation de la dualité en élasticité. Compléments sur les énergies de Reissner. Equilibre d'une dalle élastique reposant sur une structure stratifiée, Annales de l'Institut Technique du Bâtiment et des Travaux Publics
    • Fremond M. Utilisation de la dualité en élasticité. Compléments sur les énergies de Reissner. Equilibre d'une dalle élastique reposant sur une structure stratifiée, Annales de l'Institut Technique du Bâtiment et des Travaux Publics. Supplément au No. 294 (1972) 54-66
    • (1972) Supplément au , Issue.294 , pp. 54-66
    • Fremond, M.1
  • 239
    • 0023399223 scopus 로고
    • The finite element method for a degenerate elliptic equation
    • French D.A. The finite element method for a degenerate elliptic equation. SIAM J. Numer. Anal. 24 (1987) 788-815
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 788-815
    • French, D.A.1
  • 240
    • 0018996842 scopus 로고
    • On the optimality of pointwise accuracy of the finite element solution
    • Fried I. On the optimality of pointwise accuracy of the finite element solution. Internat. J. Numer. Methods Engrg. 15 (1980) 451-456
    • (1980) Internat. J. Numer. Methods Engrg. , vol.15 , pp. 451-456
    • Fried, I.1
  • 241
    • 85003237310 scopus 로고
    • Best finite elements distribution around a singularity
    • Fried I., and Yang S.K. Best finite elements distribution around a singularity. AIAA J. 10 (1972) 1244-1246
    • (1972) AIAA J. , vol.10 , pp. 1244-1246
    • Fried, I.1    Yang, S.K.2
  • 242
    • 0005748660 scopus 로고
    • A finite difference scheme for generalized Neumann problems
    • Bramble J.H. (Ed), Academic Press, Paris, France
    • Friedrichs K.O., and Keller H.B. A finite difference scheme for generalized Neumann problems. In: Bramble J.H. (Ed). Numerical Solution of Partial Differential Equations (1966), Academic Press, Paris, France 1-19
    • (1966) Numerical Solution of Partial Differential Equations , pp. 1-19
    • Friedrichs, K.O.1    Keller, H.B.2
  • 243
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite element approximation
    • Gabay D., and Mercier B. A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Comput. Math. Appl. 2 (1976) 17-40
    • (1976) Comput. Math. Appl. , vol.2 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 245
    • 0000238638 scopus 로고
    • ∞-error estimates for nonconforming and mixed finite element methods of lowest order
    • ∞-error estimates for nonconforming and mixed finite element methods of lowest order. Numer. Math. 50 (1987) 587-611
    • (1987) Numer. Math. , vol.50 , pp. 587-611
    • Gastaldi, L.1    Nochetto, R.2
  • 248
    • 70350328682 scopus 로고
    • Ellipses, Paris, France, Ecole Polytechnique, Paris
    • Ellipses, Paris, France. Germain P. Mécanique I (1986), Ecole Polytechnique, Paris
    • (1986) Mécanique I
    • Germain, P.1
  • 249
    • 70350322399 scopus 로고
    • Ellipses, Paris, France, Ecole Polytechnique, Palaiseau
    • Ellipses, Paris, France. Germain P. Mécanique II (1986), Ecole Polytechnique, Palaiseau
    • (1986) Mécanique II
    • Germain, P.1
  • 251
    • 84931160279 scopus 로고
    • Nonelliptic approximation of a class of partial differential equations with Neumann boundary conditions
    • Girault V. Nonelliptic approximation of a class of partial differential equations with Neumann boundary conditions. Math. Comp. 30 (1976) 68-91
    • (1976) Math. Comp. , vol.30 , pp. 68-91
    • Girault, V.1
  • 254
    • 0043088493 scopus 로고
    • Torsion élasto-plastique d'une barre cylindrique de section multi-connexe
    • Glowinski R., and Lanchon H. Torsion élasto-plastique d'une barre cylindrique de section multi-connexe. J. Mécanique 12 (1973) 151-171
    • (1973) J. Mécanique , vol.12 , pp. 151-171
    • Glowinski, R.1    Lanchon, H.2
  • 257
    • 0141446745 scopus 로고
    • Finite-element approximations and iterative solutions of a fourth-order elliptic variational inequality
    • Glowinski R., Marini L.D., and Vidrascu M. Finite-element approximations and iterative solutions of a fourth-order elliptic variational inequality. IMA J. Numer. Anal. 4 (1984) 127-167
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 127-167
    • Glowinski, R.1    Marini, L.D.2    Vidrascu, M.3
  • 258
    • 84985351691 scopus 로고
    • A higher order conforming, rectangular plate element
    • Gopalacharyulu S. A higher order conforming, rectangular plate element. Internat. J. Numer. Methods Engrg. 6 (1973) 305-309
    • (1973) Internat. J. Numer. Methods Engrg. , vol.6 , pp. 305-309
    • Gopalacharyulu, S.1
  • 259
    • 0000686693 scopus 로고
    • Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
    • Gordon W.J., and Hall C.A. Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Numer. Math. 21 (1973) 109-129
    • (1973) Numer. Math. , vol.21 , pp. 109-129
    • Gordon, W.J.1    Hall, C.A.2
  • 261
    • 0018680734 scopus 로고
    • Interpolation error estimates on Hermite rational "Wachspress type" 3rd-degree finite element
    • Gout J.L. Interpolation error estimates on Hermite rational "Wachspress type" 3rd-degree finite element. Comput. Math. Appl. 5 (1979) 249-257
    • (1979) Comput. Math. Appl. , vol.5 , pp. 249-257
    • Gout, J.L.1
  • 262
    • 0018701075 scopus 로고
    • Construction of an Hermite rational interpolation Wachspress type finite element
    • Gout J.L. Construction of an Hermite rational interpolation Wachspress type finite element. Comput. Math. Appl. 5 (1979) 337-347
    • (1979) Comput. Math. Appl. , vol.5 , pp. 337-347
    • Gout, J.L.1
  • 263
    • 0009611010 scopus 로고
    • Sur les formules de quadrature numérique à nombre minimal de noeuds d'intégration
    • Gout J.L., and Guessab A. Sur les formules de quadrature numérique à nombre minimal de noeuds d'intégration. Numer. Math. 49 (1986) 439-455
    • (1986) Numer. Math. , vol.49 , pp. 439-455
    • Gout, J.L.1    Guessab, A.2
  • 264
    • 85013514779 scopus 로고
    • Exemples de formules de quadrature numérique à nombre minimal de noeuds sur des domaines à double symétrie axiale
    • Gout J.L., and Guessab A. Exemples de formules de quadrature numérique à nombre minimal de noeuds sur des domaines à double symétrie axiale. Modélisation Math. Anal. Numér. 20 (1986) 287-314
    • (1986) Modélisation Math. Anal. Numér. , vol.20 , pp. 287-314
    • Gout, J.L.1    Guessab, A.2
  • 265
    • 0017215554 scopus 로고
    • Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain
    • (SYNSPADE 1975). Hubbard B. (Ed), Academic Press, Paris
    • (SYNSPADE 1975). Grisvard P. Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain. In: Hubbard B. (Ed). Numerical Solution of Partial Differential Equations III (1976), Academic Press, Paris 207-274
    • (1976) Numerical Solution of Partial Differential Equations , vol.III , pp. 207-274
    • Grisvard, P.1
  • 267
    • 0004588726 scopus 로고
    • Singularities in elasticity theory
    • Ciarlet P.G., and Roseau M. (Eds), Masson, Boston, MA
    • Grisvard P. Singularities in elasticity theory. In: Ciarlet P.G., and Roseau M. (Eds). Applications of Multiple Scaling in Mechanics (1987), Masson, Boston, MA
    • (1987) Applications of Multiple Scaling in Mechanics
    • Grisvard, P.1
  • 269
    • 70350319172 scopus 로고
    • n avec certains noeuds ayant une composante connue
    • n avec certains noeuds ayant une composante connue. Appl. Anal. 26 (1987) 129-144
    • (1987) Appl. Anal. , vol.26 , pp. 129-144
    • Guessab, A.1
  • 270
    • 0001476309 scopus 로고
    • The linear theory of elasticity
    • Flügge S., and Truesdell C. (Eds), Springer, Paris
    • Gurtin M.E. The linear theory of elasticity. In: Flügge S., and Truesdell C. (Eds). Handbuch der Physik VIa/2 (1972), Springer, Paris 1-295
    • (1972) Handbuch der Physik , vol.VIa-2 , pp. 1-295
    • Gurtin, M.E.1
  • 271
    • 0014854899 scopus 로고
    • Numerical evaluation of multiple integrals
    • Haber S. Numerical evaluation of multiple integrals. SIAM Rev. 12 (1970) 481-526
    • (1970) SIAM Rev. , vol.12 , pp. 481-526
    • Haber, S.1
  • 272
  • 273
    • 0015079556 scopus 로고
    • Triangular plate bending elements with enforced compatibility
    • Harvey J.W., and Kelsey S. Triangular plate bending elements with enforced compatibility. AIAA J. 9 (1971) 1023-1026
    • (1971) AIAA J. , vol.9 , pp. 1023-1026
    • Harvey, J.W.1    Kelsey, S.2
  • 274
  • 275
    • 0012186342 scopus 로고
    • Application of Besov spaces to spline approximation
    • Hedstrom G.W., and Varga R.S. Application of Besov spaces to spline approximation. J. Approximation Theory 4 (1971) 295-327
    • (1971) J. Approximation Theory , vol.4 , pp. 295-327
    • Hedstrom, G.W.1    Varga, R.S.2
  • 276
    • 33646993145 scopus 로고
    • Charakterisierung des K-Funktionales zwischen Hilberẗaumen und nichtuniforme Fehlerschranken
    • Helfrich H.-P. Charakterisierung des K-Funktionales zwischen Hilberẗaumen und nichtuniforme Fehlerschranken. Bonner Math. Schriften 89 (1976) 31-41
    • (1976) Bonner Math. Schriften , vol.89 , pp. 31-41
    • Helfrich, H.-P.1
  • 277
    • 33646993428 scopus 로고
    • Consistent quadrature schemes for the numerical solution of boundary value problems by variational techniques
    • Case Western Reserve University, London
    • Herbold R.J. Consistent quadrature schemes for the numerical solution of boundary value problems by variational techniques. Doctoral Thesis (1968), Case Western Reserve University, London
    • (1968) Doctoral Thesis
    • Herbold, R.J.1
  • 278
    • 33646992170 scopus 로고
    • The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques
    • Herbold R.J., Schultz M.H., and Varga R.S. The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques. Aequationes Math. 3 (1969) 247-270
    • (1969) Aequationes Math. , vol.3 , pp. 247-270
    • Herbold, R.J.1    Schultz, M.H.2    Varga, R.S.3
  • 279
    • 33646990427 scopus 로고
    • The effect of quadrature errors in the numerical solution of two-dimensional boundary value problems by variational techniques
    • Herbold R.J., and Varga R.S. The effect of quadrature errors in the numerical solution of two-dimensional boundary value problems by variational techniques. Aequationes Math. 7 (1972) 36-58
    • (1972) Aequationes Math. , vol.7 , pp. 36-58
    • Herbold, R.J.1    Varga, R.S.2
  • 280
    • 84968495728 scopus 로고
    • A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations
    • Hilbert S. A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations. Math. Comp. 27 (1973) 81-89
    • (1973) Math. Comp. , vol.27 , pp. 81-89
    • Hilbert, S.1
  • 281
    • 0019708039 scopus 로고
    • Some remarks on the discrete maximum principle for finite elements of higher order
    • Hohn W., and Mittelmann H.D. Some remarks on the discrete maximum principle for finite elements of higher order. Computing 27 (1981) 145-154
    • (1981) Computing , vol.27 , pp. 145-154
    • Hohn, W.1    Mittelmann, H.D.2
  • 282
    • 0012106860 scopus 로고
    • Finite elements with harmonic interpolation functions
    • Whiteman J.R. (Ed), Academic Press, Cleveland, OH
    • Hoppe V. Finite elements with harmonic interpolation functions. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications (1973), Academic Press, Cleveland, OH 131-142
    • (1973) The Mathematics of Finite Elements and Applications , pp. 131-142
    • Hoppe, V.1
  • 284
    • 0021306982 scopus 로고
    • A review and catalogue of plate bending finite elements
    • Hrabok M.M., and Hrudey T.M. A review and catalogue of plate bending finite elements. Comput. & Structures 19 (1984) 479-495
    • (1984) Comput. & Structures , vol.19 , pp. 479-495
    • Hrabok, M.M.1    Hrudey, T.M.2
  • 290
    • 0022113787 scopus 로고
    • Stability, accuracy, and efficiency of some underintegrated methods in finite element computations
    • Jacquotte O.-P. Stability, accuracy, and efficiency of some underintegrated methods in finite element computations. Comput. Methods Appl. Mech. Engrg. 50 (1985) 275-293
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.50 , pp. 275-293
    • Jacquotte, O.-P.1
  • 291
    • 0021479454 scopus 로고
    • Analysis of hourglass instabilities and control in underintegrated finite element methods
    • Jacquotte O.-P., and Oden J.T. Analysis of hourglass instabilities and control in underintegrated finite element methods. Comput. Methods Appl. Mech. Engrg. 44 (1984) 339-363
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.44 , pp. 339-363
    • Jacquotte, O.-P.1    Oden, J.T.2
  • 294
    • 33646991928 scopus 로고
    • Estimation de l'erreur d'interpolation dans un domaine variable et application aux éléments finis quadrilatéraux dégénérés
    • Presses de l'Université de Montréal, New York
    • Jamet P. Estimation de l'erreur d'interpolation dans un domaine variable et application aux éléments finis quadrilatéraux dégénérés. Méthodes Numériques en Mathématiques Appliquées (1976), Presses de l'Université de Montréal, New York 55-100
    • (1976) Méthodes Numériques en Mathématiques Appliquées , pp. 55-100
    • Jamet, P.1
  • 295
    • 0013653015 scopus 로고
    • Ritz-Galerkin methods for singular boundary value problems
    • Jesperssen D. Ritz-Galerkin methods for singular boundary value problems. SIAM J. Numer. Anal. 15 (1978) 813-834
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 813-834
    • Jesperssen, D.1
  • 297
    • 0010970205 scopus 로고
    • On the theory of discontinuous finite elements
    • Kang F. On the theory of discontinuous finite elements. Math. Numer. Sinica 1 (1979) 378-385
    • (1979) Math. Numer. Sinica , vol.1 , pp. 378-385
    • Kang, F.1
  • 298
    • 85040880802 scopus 로고
    • Kardestuncer H., and Norrie D.H. (Eds), McGraw-Hill, Cambridge
    • In: Kardestuncer H., and Norrie D.H. (Eds). Finite Element Handbook (1987), McGraw-Hill, Cambridge
    • (1987) Finite Element Handbook
  • 299
    • 0022717292 scopus 로고
    • Moderate-degree tetrahedal quadrature formulas
    • Keast P. Moderate-degree tetrahedal quadrature formulas. Comput. Methods Appl. Mech. Engrg. 55 (1986) 339-348
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.55 , pp. 339-348
    • Keast, P.1
  • 302
    • 33646992807 scopus 로고
    • Approximation in finite element models
    • Institute of Space and Aeronautical Science, University of Tokyo, Paris
    • Kikuchi F. Approximation in finite element models. Rept. No. 531 (1975), Institute of Space and Aeronautical Science, University of Tokyo, Paris
    • (1975) Rept. No. 531
    • Kikuchi, F.1
  • 303
    • 85013550777 scopus 로고
    • Convergence of the ACM finite element scheme for plate bending problems
    • Kikucki F. Convergence of the ACM finite element scheme for plate bending problems. Publ. Res. Inst. Math. Sci., Kyoto Univ. 11 (1975) 247-265
    • (1975) Publ. Res. Inst. Math. Sci., Kyoto Univ. , vol.11 , pp. 247-265
    • Kikucki, F.1
  • 304
    • 33646991301 scopus 로고
    • On a finite element scheme based on the discrete Kirchoff assumption
    • Kikuchi F. On a finite element scheme based on the discrete Kirchoff assumption. Numer. Math. 24 (1975) 211-231
    • (1975) Numer. Math. , vol.24 , pp. 211-231
    • Kikuchi, F.1
  • 305
    • 0016900532 scopus 로고
    • Theory and examples of partial approximation in the finite element method
    • Kikucki F. Theory and examples of partial approximation in the finite element method. Internat. J. Numer. Methods Engrg. 10 (1976) 115-122
    • (1976) Internat. J. Numer. Methods Engrg. , vol.10 , pp. 115-122
    • Kikucki, F.1
  • 307
    • 33646992417 scopus 로고
    • New error bounds for the penalty method and extrapolation
    • King J.T. New error bounds for the penalty method and extrapolation. Numer. Math. 23 (1976) 153-165
    • (1976) Numer. Math. , vol.23 , pp. 153-165
    • King, J.T.1
  • 309
    • 0023456413 scopus 로고
    • New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity
    • Koh B.C., and Kikuchi N. New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity. Comput. Methods Appl. Mech. Engrg. 65 (1987) 1-46
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.65 , pp. 1-46
    • Koh, B.C.1    Kikuchi, N.2
  • 310
    • 0000309125 scopus 로고
    • Boundary value problems for elliptic equations in domains with conical or angular points
    • Kondratev V.A. Boundary value problems for elliptic equations in domains with conical or angular points. Trudy Moskov. Mat. Obshch. 16 (1967) 209-292
    • (1967) Trudy Moskov. Mat. Obshch. , vol.16 , pp. 209-292
    • Kondratev, V.A.1
  • 311
    • 33646992570 scopus 로고
    • Piecewise polynomial interpolations in the finite element method
    • Koukal S. Piecewise polynomial interpolations in the finite element method. Apl. Math. 18 (1973) 146-160
    • (1973) Apl. Math. , vol.18 , pp. 146-160
    • Koukal, S.1
  • 312
    • 0002122189 scopus 로고
    • Superconvergence phenomenon in the finite element method arising from averaging gradients
    • Kříek M., and Neittaanmäki P. Superconvergence phenomenon in the finite element method arising from averaging gradients. Numer. Math. 45 (1984) 105-116
    • (1984) Numer. Math. , vol.45 , pp. 105-116
    • Kříek, M.1    Neittaanmäki, P.2
  • 314
    • 33646993256 scopus 로고
    • Torsion élastoplastique d'un arbre cylindrique de section simplement ou multiplement connexe
    • Université Pierre et Marie Curie (Paris VI), New York
    • Lanchon H. Torsion élastoplastique d'un arbre cylindrique de section simplement ou multiplement connexe. Doctoral Thesis (1972), Université Pierre et Marie Curie (Paris VI), New York
    • (1972) Doctoral Thesis
    • Lanchon, H.1
  • 317
    • 0001740980 scopus 로고
    • Parabolic equations
    • Princeton University Press, Moscow
    • Lax P.D., and Milgram A.N. Parabolic equations. Annals of Mathematics Studies 33 (1954), Princeton University Press, Moscow 167-190
    • (1954) Annals of Mathematics Studies , vol.33 , pp. 167-190
    • Lax, P.D.1    Milgram, A.N.2
  • 318
    • 34250120567 scopus 로고
    • Sur les éléments finis rationnels de Serendip de degré quelconque
    • Laydi M., and Lesaint P. Sur les éléments finis rationnels de Serendip de degré quelconque. Numer. Math. 46 (1985) 175-187
    • (1985) Numer. Math. , vol.46 , pp. 175-187
    • Laydi, M.1    Lesaint, P.2
  • 319
    • 0016048901 scopus 로고
    • ∞-error bounds for multivariate Lagrange approximation
    • ∞-error bounds for multivariate Lagrange approximation. SIAM J. Numer. Anal. 11 (1974) 363-381
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 363-381
    • Leaf, G.K.1    Kaper, H.G.2
  • 320
    • 33646992158 scopus 로고
    • Interpolation and approximation properties of rational coordinates over quadrilaterals
    • Leaf G.K., Kaper H.G., and Lindeman A.J. Interpolation and approximation properties of rational coordinates over quadrilaterals. J. Approximation Theory 16 (1976) 1-15
    • (1976) J. Approximation Theory , vol.16 , pp. 1-15
    • Leaf, G.K.1    Kaper, H.G.2    Lindeman, A.J.3
  • 321
    • 70350289921 scopus 로고
    • iu) = T
    • iu) = T. Rend. Mat. 2 (1969) 443-471
    • (1969) Rend. Mat. , vol.2 , pp. 443-471
    • Lebaud, G.1
  • 322
    • 70350320664 scopus 로고
    • Sur l'approximation du problème de Dirichlet pour les opérateurs elliptiques d'ordre 2
    • Lebaud G., and Raviart P.-A. Sur l'approximation du problème de Dirichlet pour les opérateurs elliptiques d'ordre 2. Rend. Mat. 2 (1969) 507-562
    • (1969) Rend. Mat. , vol.2 , pp. 507-562
    • Lebaud, G.1    Raviart, P.-A.2
  • 323
    • 4244077782 scopus 로고
    • Taylor interpolation of order n at the vertices of a triangle. Applications to Hermite interpolation and finite elements
    • Academic Press, Princeton, NJ
    • le Méhauté A. Taylor interpolation of order n at the vertices of a triangle. Applications to Hermite interpolation and finite elements. Approximation Theory and Applications (1981), Academic Press, Princeton, NJ 171-185
    • (1981) Approximation Theory and Applications , pp. 171-185
    • le Méhauté, A.1
  • 325
    • 0022734898 scopus 로고
    • Optimal isoparametric finite elements and error estimates for domains involving curved boundaries
    • Lenoir M. Optimal isoparametric finite elements and error estimates for domains involving curved boundaries. SIAM J. Numer. Anal. 23 (1986) 562-580
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 562-580
    • Lenoir, M.1
  • 326
    • 0016881029 scopus 로고
    • On the convergence of Wilson's nonconforming element for solving the elastic problem
    • Lesaint P. On the convergence of Wilson's nonconforming element for solving the elastic problem. Comput. Methods Appl. Mech. Engrg. 7 (1976) 1-16
    • (1976) Comput. Methods Appl. Mech. Engrg. , vol.7 , pp. 1-16
    • Lesaint, P.1
  • 327
    • 0005327525 scopus 로고
    • Superconvergence of the gradient of finite element solutions
    • Lesaint P., and Zlámal M. Superconvergence of the gradient of finite element solutions. RAIRO Anal. Numér. 13 (1979) 139-166
    • (1979) RAIRO Anal. Numér. , vol.13 , pp. 139-166
    • Lesaint, P.1    Zlámal, M.2
  • 328
    • 0002605497 scopus 로고
    • Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes
    • Lesaint P., and Zlámal M. Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes. Numer. Math. 36 (1980) 33-52
    • (1980) Numer. Math. , vol.36 , pp. 33-52
    • Lesaint, P.1    Zlámal, M.2
  • 329
    • 0041971704 scopus 로고
    • Superconvergent recovery of the gradient from piecewise linear finite element approximations
    • Levine N. Superconvergent recovery of the gradient from piecewise linear finite element approximations. IMA J. Numer. Anal. 5 (1985) 407-427
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 407-427
    • Levine, N.1
  • 330
    • 84981757198 scopus 로고
    • On the regularity of the solution of a variational inequality
    • (1969)
    • (1969). Lewy H., and Stampacchia G. On the regularity of the solution of a variational inequality. Comm. Pure Appl. Math. 22 (1969) 153-188
    • (1969) Comm. Pure Appl. Math. , vol.22 , pp. 153-188
    • Lewy, H.1    Stampacchia, G.2
  • 331
    • 0013667969 scopus 로고
    • A nonconforming combined method for solving Laplace's boundary value problems with singularities
    • Li Z.-C. A nonconforming combined method for solving Laplace's boundary value problems with singularities. Numer. Math. 49 (1986) 475-497
    • (1986) Numer. Math. , vol.49 , pp. 475-497
    • Li, Z.-C.1
  • 332
    • 0023364889 scopus 로고
    • Boundary methods for solving elliptic problems with singularities and interfaces
    • Li Z.-C., Mathon R., and Sermer P. Boundary methods for solving elliptic problems with singularities and interfaces. SIAM J. Numer. Anal. 24 (1987) 487-498
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 487-498
    • Li, Z.-C.1    Mathon, R.2    Sermer, P.3
  • 333
    • 3843100799 scopus 로고
    • Asymptotic expansions for finite element approximation of elliptic problems on polygonal domains
    • Glowinski R., and Lions J.L. (Eds), North-Holland, France
    • Lin Q., and Lu T. Asymptotic expansions for finite element approximation of elliptic problems on polygonal domains. In: Glowinski R., and Lions J.L. (Eds). Computing Methods in Applied Sciences and Engineering VI (1984), North-Holland, France 317-321
    • (1984) Computing Methods in Applied Sciences and Engineering , vol.VI , pp. 317-321
    • Lin, Q.1    Lu, T.2
  • 334
    • 34249875479 scopus 로고
    • Asymptotic expansions for finite element eigenvalues and finite element solutions
    • Lin Q., and Lu T. Asymptotic expansions for finite element eigenvalues and finite element solutions. Bonner Math. Schriften 158 (1984) 1-10
    • (1984) Bonner Math. Schriften , vol.158 , pp. 1-10
    • Lin, Q.1    Lu, T.2
  • 335
    • 0012392701 scopus 로고
    • Asymptotic expansion for finite element approximations
    • Chengdu Branch of Academia Sinica, Amsterdam
    • Lin Q., Lu T., and Shen S. Asymptotic expansion for finite element approximations. Research Rept. IMS-11 (1983), Chengdu Branch of Academia Sinica, Amsterdam
    • (1983) Research Rept. IMS-11
    • Lin, Q.1    Lu, T.2    Shen, S.3
  • 336
    • 0004437867 scopus 로고
    • Asymptotic expansion for the derivative of finite elements
    • Lin Q., and Zhu Q. Asymptotic expansion for the derivative of finite elements. J. Comput. Math 2 (1984) 361-363
    • (1984) J. Comput. Math , vol.2 , pp. 361-363
    • Lin, Q.1    Zhu, Q.2
  • 337
    • 0001471577 scopus 로고
    • Linear finite elements with high accuracy
    • Lin Q., and Zhu Q. Linear finite elements with high accuracy. J. Comput. Math. 3 (1985) 115-133
    • (1985) J. Comput. Math. , vol.3 , pp. 115-133
    • Lin, Q.1    Zhu, Q.2
  • 338
    • 0242444925 scopus 로고
    • Local asymptotic expansion and extrapolation for finite elements
    • Lin Q., and Zhu Q. Local asymptotic expansion and extrapolation for finite elements. J. Comput. Math. 4 (1986) 263-265
    • (1986) J. Comput. Math. , vol.4 , pp. 263-265
    • Lin, Q.1    Zhu, Q.2
  • 345
    • 0021428166 scopus 로고
    • Efficient linear and nonlinear heat conduction with a quadrilateral element
    • Liu W.K., and Belytschko T. Efficient linear and nonlinear heat conduction with a quadrilateral element. Internat. J. Numer. Methods Engrg. 20 (1984) 931-948
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 931-948
    • Liu, W.K.1    Belytschko, T.2
  • 346
    • 0007507897 scopus 로고
    • Zur Inversmonotonie diskreter Probleme
    • Lorenz J. Zur Inversmonotonie diskreter Probleme. Numer. Math. 27 (1977) 227-238
    • (1977) Numer. Math. , vol.27 , pp. 227-238
    • Lorenz, J.1
  • 347
    • 0041428316 scopus 로고
    • Acceleration of convergence for finite element solutions of the Poisson equation
    • Louis A. Acceleration of convergence for finite element solutions of the Poisson equation. Numer. Math. 33 (1979) 43-53
    • (1979) Numer. Math. , vol.33 , pp. 43-53
    • Louis, A.1
  • 348
    • 33646991352 scopus 로고
    • Curved boundary elements: General forms of polynomial mappings
    • Oden J.T., et al. (Ed), Texas Institute for Computational Mechanics, Paris
    • Lukáš I.L. Curved boundary elements: General forms of polynomial mappings. In: Oden J.T., et al. (Ed). Computational Methods in Nonlinear Mechanics (1974), Texas Institute for Computational Mechanics, Paris 37-46
    • (1974) Computational Methods in Nonlinear Mechanics , pp. 37-46
    • Lukáš, I.L.1
  • 349
    • 0012144302 scopus 로고
    • On the optimal approximation of linear functionals in spaces of bivariate functions
    • Mansfield L.E. On the optimal approximation of linear functionals in spaces of bivariate functions. SIAM J. Numer. Anal. 8 (1971) 115-126
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 115-126
    • Mansfield, L.E.1
  • 350
    • 0012178665 scopus 로고
    • Optimal approximation and error bounds in spaces of bivariate functions
    • Mansfield L.E. Optimal approximation and error bounds in spaces of bivariate functions. J. Approximation Theory 5 (1972) 77-96
    • (1972) J. Approximation Theory , vol.5 , pp. 77-96
    • Mansfield, L.E.1
  • 351
    • 33646992431 scopus 로고
    • On the variational characterization and convergence of bivariate splines
    • Mansfield L.E. On the variational characterization and convergence of bivariate splines. Numer. Math. 20 (1972) 99-114
    • (1972) Numer. Math. , vol.20 , pp. 99-114
    • Mansfield, L.E.1
  • 352
    • 33646990460 scopus 로고
    • Higher order compatible triangular finite elements
    • Mansfield L.E. Higher order compatible triangular finite elements. Numer. Math. 22 (1974) 89-97
    • (1974) Numer. Math. , vol.22 , pp. 89-97
    • Mansfield, L.E.1
  • 353
    • 0009968996 scopus 로고
    • Approximation of the boundary in the finite element solution of fourth order problems
    • Mansfield L.E. Approximation of the boundary in the finite element solution of fourth order problems. SIAM J. Numer. Anal. 15 (1978) 568-579
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 568-579
    • Mansfield, L.E.1
  • 354
    • 33646993181 scopus 로고
    • The construction of basis functions for curved elements in the finite element method
    • McLeod R., and Mitchell A.R. The construction of basis functions for curved elements in the finite element method. J. Inst. Math. Appl. 10 (1972) 382-393
    • (1972) J. Inst. Math. Appl. , vol.10 , pp. 382-393
    • McLeod, R.1    Mitchell, A.R.2
  • 355
    • 0000462540 scopus 로고
    • The use of parabolic arcs in matching curved boundaries in the finite element method
    • McLeod R., and Mitchell A.R. The use of parabolic arcs in matching curved boundaries in the finite element method. J. Inst. Math. Appl. 16 (1975) 239-246
    • (1975) J. Inst. Math. Appl. , vol.16 , pp. 239-246
    • McLeod, R.1    Mitchell, A.R.2
  • 356
    • 0012106861 scopus 로고
    • Realistic estimates for generic constants in multivariate pointwise approximation
    • Miller J.J.H. (Ed), Academic Press, Austin, TX
    • Meinguet J. Realistic estimates for generic constants in multivariate pointwise approximation. In: Miller J.J.H. (Ed). Topics in Numerical Analysis II (1975), Academic Press, Austin, TX 89-107
    • (1975) Topics in Numerical Analysis , vol.II , pp. 89-107
    • Meinguet, J.1
  • 357
    • 0017685496 scopus 로고
    • Structure et estimations de coefficients d'erreur
    • Meinguet J. Structure et estimations de coefficients d'erreur. RAIRO Anal. Numér. 11 (1977) 355-368
    • (1977) RAIRO Anal. Numér. , vol.11 , pp. 355-368
    • Meinguet, J.1
  • 358
    • 0041023409 scopus 로고
    • A practical method for estimating approximation errors in Sobolev spaces
    • Handscomb D.C. (Ed), Academic Press, New York
    • Meinguet J. A practical method for estimating approximation errors in Sobolev spaces. In: Handscomb D.C. (Ed). Multivariate Approximation (1978), Academic Press, New York 169-187
    • (1978) Multivariate Approximation , pp. 169-187
    • Meinguet, J.1
  • 359
    • 0039244944 scopus 로고
    • A convolution approach to multivariate representation formulas
    • Schempp W., and Zeller K. (Eds), Birkhäuser, London
    • Meinguet J. A convolution approach to multivariate representation formulas. In: Schempp W., and Zeller K. (Eds). Multivariate Approximation Theory (1979), Birkhäuser, London 198-210
    • (1979) Multivariate Approximation Theory , pp. 198-210
    • Meinguet, J.1
  • 360
    • 0039244943 scopus 로고
    • From Dirac distribution to multivariate representation formulas
    • Ziegler Z. (Ed), Academic Press, Basel
    • Meinguet J. From Dirac distribution to multivariate representation formulas. In: Ziegler Z. (Ed). Approximation Theory and Applications (1981), Academic Press, Basel 225-248
    • (1981) Approximation Theory and Applications , pp. 225-248
    • Meinguet, J.1
  • 361
    • 0039244929 scopus 로고
    • Sharp "a priori" error bounds for polynomial approximation in Sobolev spaces
    • Schempp W., and Zeller K. (Eds), Birkhäuser, New York
    • Meinguet J. Sharp "a priori" error bounds for polynomial approximation in Sobolev spaces. In: Schempp W., and Zeller K. (Eds). Multivariate Approximation Theory II (1982), Birkhäuser, New York 255-274
    • (1982) Multivariate Approximation Theory , vol.II , pp. 255-274
    • Meinguet, J.1
  • 362
    • 0000544014 scopus 로고
    • A practical method for obtaining a prior error bounds in point-wise and mean-square approximation problems
    • Reidel, Basel
    • Meinguet J. A practical method for obtaining a prior error bounds in point-wise and mean-square approximation problems. Approximation Theory, Spline Functions, and Applications (1984), Reidel, Basel 97-125
    • (1984) Approximation Theory, Spline Functions, and Applications , pp. 97-125
    • Meinguet, J.1
  • 363
    • 33646990631 scopus 로고
    • An operator-theoretical approach to error estimation
    • Meinguet J., and Descloux J. An operator-theoretical approach to error estimation. Numer. Math. 27 (1977) 307-326
    • (1977) Numer. Math. , vol.27 , pp. 307-326
    • Meinguet, J.1    Descloux, J.2
  • 364
    • 84972528433 scopus 로고
    • Locally one-to-one mappings and a classical theorem on Schlicht functions
    • Meisters G.H., and Olech C. Locally one-to-one mappings and a classical theorem on Schlicht functions. Duke Math. J. 30 (1963) 63-80
    • (1963) Duke Math. J. , vol.30 , pp. 63-80
    • Meisters, G.H.1    Olech, C.2
  • 365
    • 85003301328 scopus 로고
    • Basis of derivation of matrices for the direct stiffness method
    • Melosh R.J. Basis of derivation of matrices for the direct stiffness method. AIAA J. 1 (1963) 1631-1637
    • (1963) AIAA J. , vol.1 , pp. 1631-1637
    • Melosh, R.J.1
  • 366
    • 33646991490 scopus 로고
    • Approximation par éléments finis et résolution, par un algorithme de pénalisationdualité, d'un problème d'élasto-plasticité
    • Sér. A
    • Sér. A. Mercier B. Approximation par éléments finis et résolution, par un algorithme de pénalisationdualité, d'un problème d'élasto-plasticité. C.R. Acad. Sci. Paris 280 (1975) 287-290
    • (1975) C.R. Acad. Sci. Paris , vol.280 , pp. 287-290
    • Mercier, B.1
  • 367
    • 33646993010 scopus 로고
    • Une méthode de résolution du problème des charges limites utilisant les fluides de Bingham
    • Sér. A
    • Sér. A. Mercier B. Une méthode de résolution du problème des charges limites utilisant les fluides de Bingham. C.R. Acad. Sci. Paris 281 (1975) 525-527
    • (1975) C.R. Acad. Sci. Paris , vol.281 , pp. 525-527
    • Mercier, B.1
  • 368
    • 0001625512 scopus 로고
    • Solution of a boundary value problem in an axisymmetric domain by finite elements in r, z and Fourier series in θ{symbol}
    • Mercier B., and Raugel G. Solution of a boundary value problem in an axisymmetric domain by finite elements in r, z and Fourier series in θ{symbol}. RAIRO Anal. Numér. 16 (1982) 405-461
    • (1982) RAIRO Anal. Numér. , vol.16 , pp. 405-461
    • Mercier, B.1    Raugel, G.2
  • 372
    • 35948950525 scopus 로고
    • An introduction to the mathematics of the finite element method
    • Whiteman J.R. (Ed), Academic Press, New York
    • Mitchell A.R. An introduction to the mathematics of the finite element method. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications (1973), Academic Press, New York 37-58
    • (1973) The Mathematics of Finite Elements and Applications , pp. 37-58
    • Mitchell, A.R.1
  • 373
    • 33646991073 scopus 로고
    • Basis functions for curved elements in the mathematical theory of finite elements
    • Whiteman J.R. (Ed), Academic Press, London
    • Mitchell A.R. Basis functions for curved elements in the mathematical theory of finite elements. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications II (1976), Academic Press, London 43-58
    • (1976) The Mathematics of Finite Elements and Applications , vol.II , pp. 43-58
    • Mitchell, A.R.1
  • 374
    • 33646991842 scopus 로고
    • Matching of essential boundary conditions in the finite element method
    • Miller J.J.H. (Ed), Academic Press, London
    • Mitchell A.R., and Marshall J.A. Matching of essential boundary conditions in the finite element method. In: Miller J.J.H. (Ed). Topics in Numerical Analysis II (1975), Academic Press, London 109-120
    • (1975) Topics in Numerical Analysis , vol.II , pp. 109-120
    • Mitchell, A.R.1    Marshall, J.A.2
  • 375
    • 0002343198 scopus 로고
    • Convergence of finite elements solutions represented by a non-conforming basis
    • Miyoshi T. Convergence of finite elements solutions represented by a non-conforming basis. Kumamoto J. Sci. (Math.) 9 (1972) 11-20
    • (1972) Kumamoto J. Sci. (Math.) , vol.9 , pp. 11-20
    • Miyoshi, T.1
  • 376
    • 0022808370 scopus 로고
    • Some integration formulas for a four-node isoparametric element
    • Mizukami A. Some integration formulas for a four-node isoparametric element. Computer Methods Appl. Mech. Engrg. 59 (1986) 111-121
    • (1986) Computer Methods Appl. Mech. Engrg. , vol.59 , pp. 111-121
    • Mizukami, A.1
  • 377
    • 84966251314 scopus 로고
    • Projection methods with different trial and test spaces
    • Mock M.S. Projection methods with different trial and test spaces. Math. Comp. 30 (1976) 400-416
    • (1976) Math. Comp. , vol.30 , pp. 400-416
    • Mock, M.S.1
  • 378
    • 0346801356 scopus 로고
    • On finite element methods for the Neumann problem
    • Molchanov I.N., and Galba E.F. On finite element methods for the Neumann problem. Numer. Math. 46 (1985) 587-598
    • (1985) Numer. Math. , vol.46 , pp. 587-598
    • Molchanov, I.N.1    Galba, E.F.2
  • 379
    • 0346801356 scopus 로고
    • On finite element methods for the Neumann problem
    • Molchanov I.N., and Galba E.F. On finite element methods for the Neumann problem. Numer. Math. 46 (1985) 587-598
    • (1985) Numer. Math. , vol.46 , pp. 587-598
    • Molchanov, I.N.1    Galba, E.F.2
  • 380
    • 84966234880 scopus 로고
    • 1 piecewise polynomials of degree n≥5
    • 1 piecewise polynomials of degree n≥5. Math. Comp. 29 (1975) 736-740
    • (1975) Math. Comp. , vol.29 , pp. 736-740
    • Morgan, J.1    Scott, R.2
  • 381
    • 0000650634 scopus 로고
    • The triangular equilibrium element in the solution of plate bending problems
    • Morley L.S.D. The triangular equilibrium element in the solution of plate bending problems. Aero. Quart. 19 (1968) 149-169
    • (1968) Aero. Quart. , vol.19 , pp. 149-169
    • Morley, L.S.D.1
  • 383
    • 84968502760 scopus 로고
    • One-sided approximation and variational inequalities
    • (1974)
    • (1974). Mosco U., and Strang G. One-sided approximation and variational inequalities. Bull. Amer. Math. Soc. 80 (1974) 308-312
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 308-312
    • Mosco, U.1    Strang, G.2
  • 384
    • 0040114942 scopus 로고
    • Superconvergence of the gradient of Galerkin approximations for elliptic problems
    • Nakao M.T. Superconvergence of the gradient of Galerkin approximations for elliptic problems. Modélisation Math. Anal. Numér. 21 (1987) 679-695
    • (1987) Modélisation Math. Anal. Numér. , vol.21 , pp. 679-695
    • Nakao, M.T.1
  • 385
    • 34250381303 scopus 로고
    • Über die punktweise Konvergenz finiter Elemente
    • Natterer F. Über die punktweise Konvergenz finiter Elemente. Numer. Math. 25 (1975) 67-77
    • (1975) Numer. Math. , vol.25 , pp. 67-77
    • Natterer, F.1
  • 386
    • 0000319561 scopus 로고
    • Berechenbare Fehlerschranken für die Methode der Finiten Elemente
    • Birkhäuser, New York
    • Natterer F. Berechenbare Fehlerschranken für die Methode der Finiten Elemente. International Series of Numerical Mathematics 28 (1975), Birkhäuser, New York 109-121
    • (1975) International Series of Numerical Mathematics , vol.28 , pp. 109-121
    • Natterer, F.1
  • 387
    • 84966210354 scopus 로고
    • Uniform convergence of Galerkin's method for splines on highly nonuniform meshes
    • Natterer F. Uniform convergence of Galerkin's method for splines on highly nonuniform meshes. Math. Comp. 31 (1977) 457-468
    • (1977) Math. Comp. , vol.31 , pp. 457-468
    • Natterer, F.1
  • 389
    • 70350328681 scopus 로고
    • On regularity of solutions to non-linear variational inequalities for second order elliptic systems
    • Nečas J. On regularity of solutions to non-linear variational inequalities for second order elliptic systems. Rend. Mat. 8 (1975) 481-498
    • (1975) Rend. Mat. , vol.8 , pp. 481-498
    • Nečas, J.1
  • 391
    • 84968598524 scopus 로고
    • The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements
    • Nedoma J. The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements. RAIRO Anal. Numér. 13 (1979) 257-289
    • (1979) RAIRO Anal. Numér. , vol.13 , pp. 257-289
    • Nedoma, J.1
  • 392
    • 0015404262 scopus 로고
    • On a class of finite elements generated by Lagrange interpolation
    • Nicolaides R.A. On a class of finite elements generated by Lagrange interpolation. SIAM J. Numer. Anal. 9 (1972) 435-445
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 435-445
    • Nicolaides, R.A.1
  • 393
    • 0000767250 scopus 로고
    • On a class of finite elements generated by Lagrange interpolation II
    • Nicolaides R.A. On a class of finite elements generated by Lagrange interpolation II. SIAM J. Numer. Anal. 10 (1973) 182-189
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 182-189
    • Nicolaides, R.A.1
  • 394
    • 0012143945 scopus 로고
    • Bivariate spline functions and the approximation of linear functionals
    • Nielson G.M. Bivariate spline functions and the approximation of linear functionals. Numer. Math. 21 (1973) 138-160
    • (1973) Numer. Math. , vol.21 , pp. 138-160
    • Nielson, G.M.1
  • 395
    • 0001158549 scopus 로고
    • Ein Kriterium für die Quasi-Optimalitat des Ritzchen Verfahrens
    • Nitsche J.A. Ein Kriterium für die Quasi-Optimalitat des Ritzchen Verfahrens. Numer. Math. 11 (1968) 346-348
    • (1968) Numer. Math. , vol.11 , pp. 346-348
    • Nitsche, J.A.1
  • 396
    • 33646991603 scopus 로고
    • Orthogonalreihenentwicklung nach linearen Spline-Funktionen
    • Nitsche J.A. Orthogonalreihenentwicklung nach linearen Spline-Funktionen. J. Approximation Theory 2 (1969) 66-78
    • (1969) J. Approximation Theory , vol.2 , pp. 66-78
    • Nitsche, J.A.1
  • 397
    • 12244262584 scopus 로고
    • Linear Spline-Funktionen und die Methoden von Ritz für elliptische Randwert-probleme
    • Nitsche J.A. Linear Spline-Funktionen und die Methoden von Ritz für elliptische Randwert-probleme. Arch. Rational Mech. Anal. 36 (1970) 348-355
    • (1970) Arch. Rational Mech. Anal. , vol.36 , pp. 348-355
    • Nitsche, J.A.1
  • 398
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • Nitsche J.A. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg 36 (1971) 9-15
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.A.1
  • 399
    • 33646993496 scopus 로고
    • Interior error estimates of projection methods
    • Purkyně University, Amsterdam
    • Nitsche J.A. Interior error estimates of projection methods. Proceedings EquaDiff 3 (1972), Purkyně University, Amsterdam 235-239
    • (1972) Proceedings EquaDiff , vol.3 , pp. 235-239
    • Nitsche, J.A.1
  • 403
    • 33646990459 scopus 로고
    • Der Einfluss von Randsingularitäten beim Ritzschen Verfahren
    • Nitsche J.A. Der Einfluss von Randsingularitäten beim Ritzschen Verfahren. Numer. Math. 25 (1976) 263-278
    • (1976) Numer. Math. , vol.25 , pp. 263-278
    • Nitsche, J.A.1
  • 404
    • 0012108119 scopus 로고
    • ∞-Abschätzungen von Projektionen auf finite Elemente
    • ∞-Abschätzungen von Projektionen auf finite Elemente. Bonner Math. Schriften 89 (1976) 13-30
    • (1976) Bonner Math. Schriften , vol.89 , pp. 13-30
    • Nitsche, J.A.1
  • 405
    • 0001175292 scopus 로고
    • ∞-convergence of finite element approximations
    • Mathematical Aspects of Finite Element Methods. Galligani I., and Magenes E. (Eds), Springer, New York
    • ∞-convergence of finite element approximations. In: Galligani I., and Magenes E. (Eds). Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics 606 (1977), Springer, New York 261-274
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 261-274
    • Nitsche, J.A.1
  • 406
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • Nitsche J.A. On Korn's second inequality. RAIRO Anal. Numér. 15 (1981) 237-248
    • (1981) RAIRO Anal. Numér. , vol.15 , pp. 237-248
    • Nitsche, J.A.1
  • 407
    • 70350278990 scopus 로고
    • Schauder estimates for finite element approximations of second order elliptic boundary value problems
    • College Park, MD
    • Nitsche J.A. Schauder estimates for finite element approximations of second order elliptic boundary value problems. Proceedings, Special Year on Numerical Analysis. College Park, MD (1981) 290-343
    • (1981) Proceedings, Special Year on Numerical Analysis , pp. 290-343
    • Nitsche, J.A.1
  • 408
    • 84966206568 scopus 로고
    • Interior estimates for Ritz-Galerkin methods
    • Nitsche J.A., and Schatz A.H. Interior estimates for Ritz-Galerkin methods. Math. Comp. 28 (1974) 937-958
    • (1974) Math. Comp. , vol.28 , pp. 937-958
    • Nitsche, J.A.1    Schatz, A.H.2
  • 414
    • 0001693788 scopus 로고
    • Investigation of the convergence rate of variational-difference schemes for elliptic second order equations in a two-dimensional domain with a smooth boundary
    • (in Russian)
    • (in Russian). Oganesjan L.A., and Rukhovets P.A. Investigation of the convergence rate of variational-difference schemes for elliptic second order equations in a two-dimensional domain with a smooth boundary. Zh. Vychisl. Mat. i Mat. Fiz. 9 (1969) 1102-1120
    • (1969) Zh. Vychisl. Mat. i Mat. Fiz. , vol.9 , pp. 1102-1120
    • Oganesjan, L.A.1    Rukhovets, P.A.2
  • 415
    • 0017438288 scopus 로고
    • The patch test and the general convergence criteria of the finite element method
    • Oliveira E.R.d.A.e. The patch test and the general convergence criteria of the finite element method. Internat. J. Solids Structures 13 (1977) 159-178
    • (1977) Internat. J. Solids Structures , vol.13 , pp. 159-178
    • Oliveira, E.R.d.A.e.1
  • 417
    • 0000971621 scopus 로고
    • A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation
    • Peisker P., and Braess D. A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation. Numer. Math. 50 (1987) 567-586
    • (1987) Numer. Math. , vol.50 , pp. 567-586
    • Peisker, P.1    Braess, D.2
  • 418
    • 0012187539 scopus 로고
    • On cubic and quartic Clough-Tocher finite elements
    • Percell P. On cubic and quartic Clough-Tocher finite elements. SIAM J. Numer. Anal. 13 (1976) 100-103
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 100-103
    • Percell, P.1
  • 419
    • 70350312936 scopus 로고
    • Approximation by finite element functions using global regularization
    • Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Boston, MA
    • Pini F. Approximation by finite element functions using global regularization. Report (1974), Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Boston, MA
    • (1974) Report
    • Pini, F.1
  • 420
    • 0000000523 scopus 로고
    • Boundary subpaces for the finite element method with Lagrange multipliers
    • Pitkäranta J. Boundary subpaces for the finite element method with Lagrange multipliers. Numer. Math. 33 (1979) 273-289
    • (1979) Numer. Math. , vol.33 , pp. 273-289
    • Pitkäranta, J.1
  • 421
    • 33646991142 scopus 로고
    • Sur une interprétation de la méthode des différences finies qui peut fournir des bornes supérieures ou inférieures
    • Pólya G. Sur une interprétation de la méthode des différences finies qui peut fournir des bornes supérieures ou inférieures. C.R. Acad. Sci. Paris 235 (1952) 995-997
    • (1952) C.R. Acad. Sci. Paris , vol.235 , pp. 995-997
    • Pólya, G.1
  • 422
    • 84976757268 scopus 로고
    • Piecewise quadratic approximations on triangles
    • Powell M.J.D., and Sabin M.A. Piecewise quadratic approximations on triangles. ACM Trans. Math. Software 3 (1977) 316-325
    • (1977) ACM Trans. Math. Software , vol.3 , pp. 316-325
    • Powell, M.J.D.1    Sabin, M.A.2
  • 426
    • 33646992474 scopus 로고
    • Zur punktweisen Konvergenz der Methode der finiten Elemente beim Plattenproblem
    • Rannacher R. Zur punktweisen Konvergenz der Methode der finiten Elemente beim Plattenproblem. Manuscripta Math. 19 (1976) 401-416
    • (1976) Manuscripta Math. , vol.19 , pp. 401-416
    • Rannacher, R.1
  • 427
    • 0002086492 scopus 로고
    • ∞-Konvergenz linearer finiter Elemente beim Dirichlet problem
    • ∞-Konvergenz linearer finiter Elemente beim Dirichlet problem. Math. Z. 149 (1976) 69-77
    • (1976) Math. Z. , vol.149 , pp. 69-77
    • Rannacher, R.1
  • 428
    • 85013524527 scopus 로고
    • ∞-Fehlerabschätzung für ein nicht konforme Finite-Elemente-Methode beim Plattenproblem
    • ∞-Fehlerabschätzung für ein nicht konforme Finite-Elemente-Methode beim Plattenproblem. Z. Angew. Math. Mech. 57 (1977) 247-249
    • (1977) Z. Angew. Math. Mech. , vol.57 , pp. 247-249
    • Rannacher, R.1
  • 429
    • 84968491183 scopus 로고
    • Some optimal error estimates for piecewise linear finite element approximations
    • Rannacher R., and Scott R. Some optimal error estimates for piecewise linear finite element approximations. Math. Comp. 38 (1982) 437-445
    • (1982) Math. Comp. , vol.38 , pp. 437-445
    • Rannacher, R.1    Scott, R.2
  • 430
    • 0006417864 scopus 로고
    • construction d'un modèle d'évolution de plaques avec terme d'inertie de rotation
    • Raoult A. construction d'un modèle d'évolution de plaques avec terme d'inertie de rotation. Ann. Mat. Pura Appl. 139 (1985) 361-400
    • (1985) Ann. Mat. Pura Appl. , vol.139 , pp. 361-400
    • Raoult, A.1
  • 431
    • 0001485499 scopus 로고
    • Résolution numérique de problèmes elliptiques dans des domaines avec coins
    • Raugel G. Résolution numérique de problèmes elliptiques dans des domaines avec coins. C.R. Acad. Sci. Paris Sér. A-B 286 (1978) 791-794
    • (1978) C.R. Acad. Sci. Paris Sér. A-B , vol.286 , pp. 791-794
    • Raugel, G.1
  • 432
    • 0004098563 scopus 로고
    • Résolution numérique de problèmes elliptiques dans des domaines avec coins
    • Université de Rennes, New York
    • Raugel G. Résolution numérique de problèmes elliptiques dans des domaines avec coins. Doctoral Dissertation (1978), Université de Rennes, New York
    • (1978) Doctoral Dissertation
    • Raugel, G.1
  • 433
    • 33646992978 scopus 로고
    • Méthodes des Eléments Finis
    • Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, France
    • Raviart P.-A. Méthodes des Eléments Finis. Lecture Notes (1972), Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, France
    • (1972) Lecture Notes
    • Raviart, P.-A.1
  • 435
    • 0015572987 scopus 로고
    • Program for triangular bending elements with derivatives smoothing
    • Razzaque A. Program for triangular bending elements with derivatives smoothing. Internat. J. Numer. Methods Engrg. 6 (1973) 333-343
    • (1973) Internat. J. Numer. Methods Engrg. , vol.6 , pp. 333-343
    • Razzaque, A.1
  • 438
    • 84985351855 scopus 로고
    • The patch test: Is it or isn't it?
    • Robinson J. The patch test: Is it or isn't it?. Finite Element News 1 (1982) 30-34
    • (1982) Finite Element News , vol.1 , pp. 30-34
    • Robinson, J.1
  • 440
    • 0001721753 scopus 로고
    • Weak-element approximations to elliptic differential equations
    • Rose M.E. Weak-element approximations to elliptic differential equations. Numer. Math. 24 (1975) 185-204
    • (1975) Numer. Math. , vol.24 , pp. 185-204
    • Rose, M.E.1
  • 443
    • 0040737841 scopus 로고
    • On the strong maximum principle for some piecewise linear finite element approximate problems of non-positive type
    • Ruas Santos V. On the strong maximum principle for some piecewise linear finite element approximate problems of non-positive type. J. Fac. Sci. Univ. Tokyo, Sec. IA 29 (1982) 473-491
    • (1982) J. Fac. Sci. Univ. Tokyo, Sec. IA , vol.29 , pp. 473-491
    • Ruas Santos, V.1
  • 446
    • 0012621524 scopus 로고
    • Error bounds for Hermite interpolation by quadratic splines on an α-triangulation
    • Sablonnière P. Error bounds for Hermite interpolation by quadratic splines on an α-triangulation. IMA J. Numer. Anal. 7 (1987) 495-508
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 495-508
    • Sablonnière, P.1
  • 447
    • 0003100388 scopus 로고
    • The global constant strain condition and the patch test
    • Glowinski R., Rodin E.Y., and Zienkiewicz O.C. (Eds), Wiley, Paris
    • Samuelsson A. The global constant strain condition and the patch test. In: Glowinski R., Rodin E.Y., and Zienkiewicz O.C. (Eds). Energy Methods in Finite Element Analysis (1979), Wiley, Paris 49-68
    • (1979) Energy Methods in Finite Element Analysis , pp. 49-68
    • Samuelsson, A.1
  • 448
    • 0010068926 scopus 로고
    • Estimations des erreurs de meilleure approximation polynomiale et d'interpolation de Lagrange dans les espaces de Sobolev d'ordre non entier
    • Sanchez A.M., and Arcangéli R. Estimations des erreurs de meilleure approximation polynomiale et d'interpolation de Lagrange dans les espaces de Sobolev d'ordre non entier. Numer. Math. 45 (1984) 301-321
    • (1984) Numer. Math. , vol.45 , pp. 301-321
    • Sanchez, A.M.1    Arcangéli, R.2
  • 449
    • 0017632308 scopus 로고
    • The influence of the choice of connectors in the finite element method
    • Sander G., and Beckers P. The influence of the choice of connectors in the finite element method. Internat. J. Numer. Methods Engrg. 11 (1977) 1491-1505
    • (1977) Internat. J. Numer. Methods Engrg. , vol.11 , pp. 1491-1505
    • Sander, G.1    Beckers, P.2
  • 450
    • 0040429345 scopus 로고
    • Linear Approximation
    • American Mathematical Society, Chichester
    • Sard A. Linear Approximation. Mathematical Surveys 9 (1963), American Mathematical Society, Chichester
    • (1963) Mathematical Surveys , vol.9
    • Sard, A.1
  • 452
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • Schatz A.H. An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Math. Comp. 28 (1974) 959-962
    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.H.1
  • 453
    • 84966242339 scopus 로고
    • ∞ on place polygonal domains
    • ∞ on place polygonal domains. Math. Comp. 34 (1980) 77-91
    • (1980) Math. Comp. , vol.34 , pp. 77-91
    • Schatz, A.H.1
  • 454
    • 0013676420 scopus 로고
    • Maximum norm error estimates in the finite element method for Poisson equation on plane domains with corners
    • Chui C.K., Lorentz G.G., and Schumaker L.L. (Eds), Academic Press, Providence, RI
    • Schatz A.H., and Wahlbin L.B. Maximum norm error estimates in the finite element method for Poisson equation on plane domains with corners. In: Chui C.K., Lorentz G.G., and Schumaker L.L. (Eds). Approximation Theory II (1976), Academic Press, Providence, RI 541-547
    • (1976) Approximation Theory , vol.II , pp. 541-547
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 455
    • 84966241381 scopus 로고
    • Interior maximum norm estimates for finite element methods
    • Schatz A.H., and Wahlbin L.B. Interior maximum norm estimates for finite element methods. Math. Comp. 31 (1977) 414-442
    • (1977) Math. Comp. , vol.31 , pp. 414-442
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 456
    • 84966213952 scopus 로고
    • Maximum norm estimates in the finite element method on plane polygonal domains
    • Part 1
    • Part 1. Schatz A.H., and Wahlbin L.B. Maximum norm estimates in the finite element method on plane polygonal domains. Math. Comp. 32 (1978) 73-109
    • (1978) Math. Comp. , vol.32 , pp. 73-109
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 457
    • 84968482071 scopus 로고
    • Maximum norm estimates in the finite element method on plane polygonal domains, Part 2: Refinements
    • Schatz A.H., and Wahlbin L.B. Maximum norm estimates in the finite element method on plane polygonal domains, Part 2: Refinements. Math. Comp 33 (1979) 465-492
    • (1979) Math. Comp , vol.33 , pp. 465-492
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 458
    • 70350319171 scopus 로고
    • On a local asymptotic error estimate in finite elements and its use: numerical examples
    • Vichnevetsky R., and Stepleman R.S. (Eds), IMACS, New York
    • Schatz A.H., and Wahlbin L.B. On a local asymptotic error estimate in finite elements and its use: numerical examples. In: Vichnevetsky R., and Stepleman R.S. (Eds). Advances in Computer Methods for Partial Differential Equations IV (1981), IMACS, New York 14-17
    • (1981) Advances in Computer Methods for Partial Differential Equations , vol.IV , pp. 14-17
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 459
  • 460
    • 0040687305 scopus 로고
    • Cubature formulas with a minimal number of knots
    • Schmid H.J. Cubature formulas with a minimal number of knots. Numer. Math. 31 (1978) 281-297
    • (1978) Numer. Math. , vol.31 , pp. 281-297
    • Schmid, H.J.1
  • 461
    • 0011112655 scopus 로고
    • Finite element methods of high-order accuracy for singular two-point boundary value problems with nonsmooth solutions
    • Schreiber R. Finite element methods of high-order accuracy for singular two-point boundary value problems with nonsmooth solutions. SIAM J. Numer. Anal. 17 (1980) 547-566
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 547-566
    • Schreiber, R.1
  • 462
    • 0014521327 scopus 로고
    • ∞-multivariate approximation theory
    • ∞-multivariate approximation theory. SIAM J. Numer. Anal. 6 (1969) 161-183
    • (1969) SIAM J. Numer. Anal. , vol.6 , pp. 161-183
    • Schultz, M.H.1
  • 463
    • 84966257289 scopus 로고
    • Quadrature-Galerkin approximations to solutions of elliptic differential equations
    • Schultz M.H. Quadrature-Galerkin approximations to solutions of elliptic differential equations. Proc. Amer. Math. Soc. 33 (1972) 511-515
    • (1972) Proc. Amer. Math. Soc. , vol.33 , pp. 511-515
    • Schultz, M.H.1
  • 464
    • 33646991942 scopus 로고
    • Error bounds for a bivariate interpolation scheme
    • Schultz M.H. Error bounds for a bivariate interpolation scheme. J. Approximation Theory 8 (1973) 189-194
    • (1973) J. Approximation Theory , vol.8 , pp. 189-194
    • Schultz, M.H.1
  • 467
    • 0003420510 scopus 로고
    • Finite element techniques for curved boundaries
    • MIT, Paris
    • Scott R. Finite element techniques for curved boundaries. Doctoral Thesis (1973), MIT, Paris
    • (1973) Doctoral Thesis
    • Scott, R.1
  • 468
    • 0000195048 scopus 로고
    • Finite element convergence for singular data
    • Scott R. Finite element convergence for singular data. Numer. Math. 21 (1973) 317-327
    • (1973) Numer. Math. , vol.21 , pp. 317-327
    • Scott, R.1
  • 470
    • 0016518553 scopus 로고
    • Interpolated boundary conditions in the finite element method
    • Scott R. Interpolated boundary conditions in the finite element method. SIAM J. Numer. Anal. 12 (1975) 404-427
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 404-427
    • Scott, R.1
  • 471
    • 84966250424 scopus 로고
    • ∞ estimates for the finite element method on irregular meshes
    • ∞ estimates for the finite element method on irregular meshes. Math. Comp. 30 (1976) 681-697
    • (1976) Math. Comp. , vol.30 , pp. 681-697
    • Scott, R.1
  • 473
    • 84985315140 scopus 로고
    • A hexagonal finite element with one degree-of-freedom per hexagon
    • Scott R. A hexagonal finite element with one degree-of-freedom per hexagon. Internat. J. Numer. Methods Engrg. 10 (1976) 958-959
    • (1976) Internat. J. Numer. Methods Engrg. , vol.10 , pp. 958-959
    • Scott, R.1
  • 474
    • 0039404270 scopus 로고
    • Applications of Banach space interpolation to finite element theory
    • Functional Analysis Methods in Numerical Analysis. Nashed M.Z. (Ed), Springer, Cambridge, MA
    • Scott R. Applications of Banach space interpolation to finite element theory. In: Nashed M.Z. (Ed). Functional Analysis Methods in Numerical Analysis. Lecture Notes in Mathematics 701 (1979), Springer, Cambridge, MA 298-318
    • (1979) Lecture Notes in Mathematics , vol.701 , pp. 298-318
    • Scott, R.1
  • 475
    • 33646993384 scopus 로고
    • Two-dimensional polynomial splines
    • Shah J.M. Two-dimensional polynomial splines. Numer. Math. 15 (1970) 1-14
    • (1970) Numer. Math. , vol.15 , pp. 1-14
    • Shah, J.M.1
  • 476
    • 0000919652 scopus 로고
    • A convergence condition for the quadrilateral Wilson element
    • Shi Z. A convergence condition for the quadrilateral Wilson element. Numer. Math. 44 (1984) 349-361
    • (1984) Numer. Math. , vol.44 , pp. 349-361
    • Shi, Z.1
  • 477
    • 84966252893 scopus 로고
    • On the convergence properties of the quadrilateral elements of Sander and Beckers
    • Shi Z. On the convergence properties of the quadrilateral elements of Sander and Beckers. Math. Comp. 42 (1984) 493-504
    • (1984) Math. Comp. , vol.42 , pp. 493-504
    • Shi, Z.1
  • 478
    • 0021457707 scopus 로고
    • An explicit analysis of Stummel's patch test examples
    • Shi Z. An explicit analysis of Stummel's patch test examples. Internat. J. Numer. Methods Engrg. 20 (1984) 1233-1246
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 1233-1246
    • Shi, Z.1
  • 479
    • 70350325708 scopus 로고
    • Difficulties with Irons' patch test
    • Shi Z. Difficulties with Irons' patch test. Z. Angew. Math. Mech. 64 (1984) T314-T315
    • (1984) Z. Angew. Math. Mech. , vol.64
    • Shi, Z.1
  • 480
    • 0011849044 scopus 로고
    • The generalized patch test for Zienkiewicz's triangles
    • Shi Z. The generalized patch test for Zienkiewicz's triangles. J. Comput. Math. 2 (1984) 279-286
    • (1984) J. Comput. Math. , vol.2 , pp. 279-286
    • Shi, Z.1
  • 481
    • 0021532070 scopus 로고
    • On the convergence rate of the boundary penalty method
    • Shi Z. On the convergence rate of the boundary penalty method. Internat. J. Numer. Methods Engrg. 20 (1984) 2027-2032
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 2027-2032
    • Shi, Z.1
  • 482
    • 0022029424 scopus 로고
    • Convergence properties of two nonconforming finite elements
    • Shi Z. Convergence properties of two nonconforming finite elements. Comput. Methods Appl. Mech. Engrg. 48 (1985) 123-137
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.48 , pp. 123-137
    • Shi, Z.1
  • 483
    • 0000509782 scopus 로고
    • The optimal order of convergence of Wilson's nonconforming element
    • Shi Z. The optimal order of convergence of Wilson's nonconforming element. Math. Numer. Sinica 8 (1986) 159-163
    • (1986) Math. Numer. Sinica , vol.8 , pp. 159-163
    • Shi, Z.1
  • 484
    • 84966218182 scopus 로고
    • The F-E-M-test for convergence of nonconforming finite elements
    • Shi Z. The F-E-M-test for convergence of nonconforming finite elements. Math. Comp. 49 (1987) 391-405
    • (1987) Math. Comp. , vol.49 , pp. 391-405
    • Shi, Z.1
  • 485
    • 0023346946 scopus 로고
    • Convergence of the TRUNC plate element
    • Shi Z. Convergence of the TRUNC plate element. Comput. Methods Appl. Mech. Engrg. 62 (1987) 71-88
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.62 , pp. 71-88
    • Shi, Z.1
  • 486
    • 2242473149 scopus 로고
    • On Stummel's examples to the patch test
    • Shi Z. On Stummel's examples to the patch test. Comput. Mech. 5 (1989) 81-87
    • (1989) Comput. Mech. , vol.5 , pp. 81-87
    • Shi, Z.1
  • 491
    • 0000544120 scopus 로고
    • Formes bilinéaires coercitives sur les ensembles convexes
    • Stampacchia G. Formes bilinéaires coercitives sur les ensembles convexes. C.R. Acad. Sci. Paris Sér. A. 258 (1964) 4413-4416
    • (1964) C.R. Acad. Sci. Paris Sér. A. , vol.258 , pp. 4413-4416
    • Stampacchia, G.1
  • 492
    • 0000195746 scopus 로고
    • Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • Stampacchia G. Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble) 15 (1965) 189-258
    • (1965) Ann. Inst. Fourier (Grenoble) , vol.15 , pp. 189-258
    • Stampacchia, G.1
  • 493
    • 0001947802 scopus 로고
    • The finite element method and approximation theory
    • Hubbard B.E. (Ed), Academic Press, New York
    • Strang G. The finite element method and approximation theory. In: Hubbard B.E. (Ed). Numerical Solutions of Partial Differential Equations II (1971), Academic Press, New York 547-583
    • (1971) Numerical Solutions of Partial Differential Equations , vol.II , pp. 547-583
    • Strang, G.1
  • 494
    • 0002245797 scopus 로고
    • Approximation in the finite element method
    • Strang G. Approximation in the finite element method. Numer. Math. 19 (1972) 81-98
    • (1972) Numer. Math. , vol.19 , pp. 81-98
    • Strang, G.1
  • 496
    • 84968518236 scopus 로고
    • Piecewise polynomials and the finite element method
    • Strang G. Piecewise polynomials and the finite element method. Bull. Amer. Math. Soc. 79 (1973) 1128-1137
    • (1973) Bull. Amer. Math. Soc. , vol.79 , pp. 1128-1137
    • Strang, G.1
  • 497
    • 0012146128 scopus 로고
    • The dimension of piecewise polynomials, and one-sided approximation
    • Conference on the Numerical Solution of Differential Equations. Watson G.A. (Ed), Springer, New York
    • Strang G. The dimension of piecewise polynomials, and one-sided approximation. In: Watson G.A. (Ed). Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics 363 (1974), Springer, New York 144-152
    • (1974) Lecture Notes in Mathematics , vol.363 , pp. 144-152
    • Strang, G.1
  • 499
    • 33747233356 scopus 로고
    • A Fourier analysis of the finite element method
    • Cremonese, Rome
    • Strang G., and Fix G.J. A Fourier analysis of the finite element method. Proceedings CIME Summer School. Cremonese, Rome (1971)
    • (1971) Proceedings CIME Summer School
    • Strang, G.1    Fix, G.J.2
  • 502
    • 0001149512 scopus 로고
    • The generalized patch test
    • Stummel F. The generalized patch test. SIAM J. Numer. Anal. 16 (1979) 449-471
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 449-471
    • Stummel, F.1
  • 503
    • 0010774806 scopus 로고
    • Basic compactness properties of nonconforming and hybrid finite element spaces
    • Stummel F. Basic compactness properties of nonconforming and hybrid finite element spaces. RAIRO Anal. Numér. 4 (1980) 81-115
    • (1980) RAIRO Anal. Numér. , vol.4 , pp. 81-115
    • Stummel, F.1
  • 505
    • 0347104378 scopus 로고
    • ∞ bounds of the Ritz operator associated with a finite element approximation
    • ∞ bounds of the Ritz operator associated with a finite element approximation. Numer. Math. 49 (1986) 529-544
    • (1986) Numer. Math. , vol.49 , pp. 529-544
    • Suzuki, T.1    Fujita, H.2
  • 510
    • 0001314406 scopus 로고
    • The use of infinite grid refinements at singularities in the solution of Laplace's equation
    • Thatcher R.W. The use of infinite grid refinements at singularities in the solution of Laplace's equation. Numer. Math. 25 (1976) 163-178
    • (1976) Numer. Math. , vol.25 , pp. 163-178
    • Thatcher, R.W.1
  • 512
    • 33646991764 scopus 로고
    • Approximate solution of Dirichlet's problem using approximating polygonal domain
    • Miller J.J.H. (Ed), Academic Press, Heidelberg
    • Thomée V. Approximate solution of Dirichlet's problem using approximating polygonal domain. In: Miller J.J.H. (Ed). Topics in Numerical Analysis (1973), Academic Press, Heidelberg 311-328
    • (1973) Topics in Numerical Analysis , pp. 311-328
    • Thomée, V.1
  • 513
    • 0012107912 scopus 로고
    • Polygonal domain approximation in Dirichlet's problem
    • Thomée V. Polygonal domain approximation in Dirichlet's problem. J. Inst. Math. Appl. 11 (1973) 33-44
    • (1973) J. Inst. Math. Appl. , vol.11 , pp. 33-44
    • Thomée, V.1
  • 514
    • 84966229036 scopus 로고
    • High-order local approximations to derivatives in the finite element method
    • Thomée V. High-order local approximations to derivatives in the finite element method. Math. Comp. 31 (1977) 652-660
    • (1977) Math. Comp. , vol.31 , pp. 652-660
    • Thomée, V.1
  • 515
    • 0015398066 scopus 로고
    • An optimal successive overrelaxation technique for solving second order finite difference equations for triangular meshes
    • Tomlin G.R. An optimal successive overrelaxation technique for solving second order finite difference equations for triangular meshes. Internat. J. Numer. Methods Engrg. 5 (1972) 25-39
    • (1972) Internat. J. Numer. Methods Engrg. , vol.5 , pp. 25-39
    • Tomlin, G.R.1
  • 517
    • 0001759330 scopus 로고
    • Stiffness and deflection analysis of complex structures
    • Turner M.J., Clough R.W., Martin H.C., and Topp L.J. Stiffness and deflection analysis of complex structures. J. Aero. Sci. 23 (1956) 805-823
    • (1956) J. Aero. Sci. , vol.23 , pp. 805-823
    • Turner, M.J.1    Clough, R.W.2    Martin, H.C.3    Topp, L.J.4
  • 520
    • 70350306645 scopus 로고
    • La Mécanique des Milieux Continus et le Calcul des Structures
    • English translation, North-Holland, Paris
    • English translation. Valid R. La Mécanique des Milieux Continus et le Calcul des Structures. Mechanics of Continuous Media and Analysis of Structures (1981), North-Holland, Paris
    • (1981) Mechanics of Continuous Media and Analysis of Structures
    • Valid, R.1
  • 522
    • 5344231047 scopus 로고
    • On a discrete maximum principle
    • Varga R.S. On a discrete maximum principle. SIAM J. Numer. Anal. 3 (1966) 355-359
    • (1966) SIAM J. Numer. Anal. , vol.3 , pp. 355-359
    • Varga, R.S.1
  • 523
    • 33646991529 scopus 로고
    • Hermite interpolation-type Ritz methods for two-point boundary value problems
    • Bramble J.H. (Ed), Academic Press, Englewood Cliffs, NJ
    • Varga R.S. Hermite interpolation-type Ritz methods for two-point boundary value problems. In: Bramble J.H. (Ed). Numerical Solution of Partial Differential Equations (1966), Academic Press, Englewood Cliffs, NJ 365-373
    • (1966) Numerical Solution of Partial Differential Equations , pp. 365-373
    • Varga, R.S.1
  • 524
    • 0012144309 scopus 로고
    • Functional Analysis and Approximation Theory in Numerical Analysis
    • SIAM, New York
    • Varga R.S. Functional Analysis and Approximation Theory in Numerical Analysis. Regional Conference Series in Applied Mathematics (1971), SIAM, New York
    • (1971) Regional Conference Series in Applied Mathematics
    • Varga, R.S.1
  • 525
    • 33646990736 scopus 로고
    • On the order of convergence of the Rayleigh-Ritz method with piecewise linear trial functions
    • Veidinger L. On the order of convergence of the Rayleigh-Ritz method with piecewise linear trial functions. Acta Math. Acad. Sci. Hungar. 23 (1972) 507-517
    • (1972) Acta Math. Acad. Sci. Hungar. , vol.23 , pp. 507-517
    • Veidinger, L.1
  • 526
    • 33646992126 scopus 로고
    • On the order of convergence of a finite element method in regions with curved boundaries
    • Veidinger L. On the order of convergence of a finite element method in regions with curved boundaries. Acta Math. Acad. Sci. Hungar. 26 (1975) 419-431
    • (1975) Acta Math. Acad. Sci. Hungar. , vol.26 , pp. 419-431
    • Veidinger, L.1
  • 527
    • 33747615908 scopus 로고
    • Energetic bounds in finite elasticity
    • Villagio P. Energetic bounds in finite elasticity. Arch. Rational Mech. Anal. 45 (1972) 282-293
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 282-293
    • Villagio, P.1
  • 528
    • 33646990804 scopus 로고
    • A rational basis for function approximation
    • Wachspress E.L. A rational basis for function approximation. J. Inst. Math. Appl. 8 (1971) 57-68
    • (1971) J. Inst. Math. Appl. , vol.8 , pp. 57-68
    • Wachspress, E.L.1
  • 529
    • 33646992352 scopus 로고
    • A rational basis for function approximation, II: Curved sides
    • Wachspress E.L. A rational basis for function approximation, II: Curved sides. J. Inst. Math. Appl. 11 (1973) 83-104
    • (1973) J. Inst. Math. Appl. , vol.11 , pp. 83-104
    • Wachspress, E.L.1
  • 531
    • 0009821582 scopus 로고
    • Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
    • Wahlbin L.B. Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration. RAIRO Anal. Numér. 12 (1978) 173-202
    • (1978) RAIRO Anal. Numér. , vol.12 , pp. 173-202
    • Wahlbin, L.B.1
  • 532
    • 0002910639 scopus 로고
    • 1 projections into finite element spaces: influence of a reentrant corner
    • 1 projections into finite element spaces: influence of a reentrant corner. Math. Comp. 42 (1984) 1-8
    • (1984) Math. Comp. , vol.42 , pp. 1-8
    • Wahlbin, L.B.1
  • 533
    • 0003168091 scopus 로고
    • Corner singularities in elliptic problems by finite element methods
    • Wait R., and Mitchell A.R. Corner singularities in elliptic problems by finite element methods. J. Comput. Phys. 8 (1971) 45-52
    • (1971) J. Comput. Phys. , vol.8 , pp. 45-52
    • Wait, R.1    Mitchell, A.R.2
  • 536
    • 33646991038 scopus 로고
    • Finite-difference and finite-element methods of approximation
    • Walsh J. Finite-difference and finite-element methods of approximation. Proc. Roy. Soc. London Ser. A 323 (1971) 155-165
    • (1971) Proc. Roy. Soc. London Ser. A , vol.323 , pp. 155-165
    • Walsh, J.1
  • 537
    • 84968475674 scopus 로고
    • Optimal error properties of finite element methods for second order elliptic Dirichlet problems
    • Werschulz A.G. Optimal error properties of finite element methods for second order elliptic Dirichlet problems. Math. Comp. 158 (1982) 401-413
    • (1982) Math. Comp. , vol.158 , pp. 401-413
    • Werschulz, A.G.1
  • 538
    • 84985406663 scopus 로고
    • Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations
    • Wheeler M.F., and Whiteman J.R. Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Numer. Methods Partial Differential Equations 3 (1987) 65-82
    • (1987) Numer. Methods Partial Differential Equations , vol.3 , pp. 65-82
    • Wheeler, M.F.1    Whiteman, J.R.2
  • 539
    • 0001202196 scopus 로고
    • Finite elements for singularities in two- and three-dimensions
    • Whiteman J.R. (Ed), Academic Press, New York
    • Whiteman J.R. Finite elements for singularities in two- and three-dimensions. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications IV (1982), Academic Press, New York 35-51
    • (1982) The Mathematics of Finite Elements and Applications , vol.IV , pp. 35-51
    • Whiteman, J.R.1
  • 540
    • 0001202196 scopus 로고
    • Finite elements, singularities, and fracture
    • Whiteman J.R. (Ed), Academic Press, London
    • Whiteman J.R., and Akin J.E. Finite elements, singularities, and fracture. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications III (1980), Academic Press, London 35-51
    • (1980) The Mathematics of Finite Elements and Applications , vol.III , pp. 35-51
    • Whiteman, J.R.1    Akin, J.E.2
  • 541
    • 3042688198 scopus 로고
    • On best error bounds for approximation by piecewise polynomial functions
    • Widlund O. On best error bounds for approximation by piecewise polynomial functions. Numer. Math. 27 (1977) 327-338
    • (1977) Numer. Math. , vol.27 , pp. 327-338
    • Widlund, O.1
  • 543
    • 0344074920 scopus 로고
    • Stabilization of the zero-energy modes of under-integrated isoparametric finite elements
    • Wissmann J.W., Becker T., and Möller H. Stabilization of the zero-energy modes of under-integrated isoparametric finite elements. Comput. Mech. 2 (1987) 289-306
    • (1987) Comput. Mech. , vol.2 , pp. 289-306
    • Wissmann, J.W.1    Becker, T.2    Möller, H.3
  • 544
    • 70350327450 scopus 로고
    • Curved elements with polynomials of varying degree
    • Zacharias C., and Subba Rao V. Curved elements with polynomials of varying degree. J. Math. Phys. Sci. 16 (1982) 223-230
    • (1982) J. Math. Phys. Sci. , vol.16 , pp. 223-230
    • Zacharias, C.1    Subba Rao, V.2
  • 545
    • 0000992159 scopus 로고
    • Interpolation polynomials on the triangle
    • eníšek A. Interpolation polynomials on the triangle. Numer. Math. 15 (1970) 283-296
    • (1970) Numer. Math. , vol.15 , pp. 283-296
    • eníšek, A.1
  • 546
    • 64049104279 scopus 로고
    • Hermite interpolation on simplexes in the finite element method
    • Purkyně University, New York
    • eníšek A. Hermite interpolation on simplexes in the finite element method. Proceedings EquaDiff 3 (1972), Purkyně University, New York 271-277
    • (1972) Proceedings EquaDiff , vol.3 , pp. 271-277
    • eníšek, A.1
  • 547
    • 0012178675 scopus 로고
    • Polynomial approximation on tetrahedrons in the finite element method
    • eníšek A. Polynomial approximation on tetrahedrons in the finite element method. J. Approximation Theory 7 (1973) 334-351
    • (1973) J. Approximation Theory , vol.7 , pp. 334-351
    • eníšek, A.1
  • 549
    • 0004521858 scopus 로고
    • Discrete form of Friedrichs' inequalities in the finite element method
    • eníšek A. Discrete form of Friedrichs' inequalities in the finite element method. RAIRO Anal. Numér. 15 (1981) 265-286
    • (1981) RAIRO Anal. Numér. , vol.15 , pp. 265-286
    • eníšek, A.1
  • 550
    • 0040483855 scopus 로고
    • Nonhomogeneous boundary conditions and curved triangular finite elements
    • eníšek A. Nonhomogeneous boundary conditions and curved triangular finite elements. Apl. Mat. 26 (1981) 121-141
    • (1981) Apl. Mat. , vol.26 , pp. 121-141
    • eníšek, A.1
  • 551
    • 24544467282 scopus 로고
    • How to avoid the use of Green's theorem in the Ciarlet-Raviart theory of variational crimes
    • eníšek A. How to avoid the use of Green's theorem in the Ciarlet-Raviart theory of variational crimes. Modélisation Math. Anal. Numér. 21 (1987) 171-191
    • (1987) Modélisation Math. Anal. Numér. , vol.21 , pp. 171-191
    • eníšek, A.1
  • 553
    • 84968508503 scopus 로고
    • Finite elements: The background story
    • Whiteman J.R. (Ed), Academic Press, London
    • Zienkiewicz O.C. Finite elements: The background story. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications (1973), Academic Press, London 1-35
    • (1973) The Mathematics of Finite Elements and Applications , pp. 1-35
    • Zienkiewicz, O.C.1
  • 554
    • 0001538076 scopus 로고
    • Constrained variational principles and penalty function methods in finite element analysis
    • Conference on the Numerical Solution of Differential Equations. Watson G.A. (Ed), Springer, London
    • Zienkiewicz O.C. Constrained variational principles and penalty function methods in finite element analysis. In: Watson G.A. (Ed). Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics 363 (1974), Springer, London 207-214
    • (1974) Lecture Notes in Mathematics , vol.363 , pp. 207-214
    • Zienkiewicz, O.C.1
  • 556
    • 0000466572 scopus 로고
    • On the finite element method
    • Zlámal M. On the finite element method. Numer. Math. 12 (1968) 394-409
    • (1968) Numer. Math. , vol.12 , pp. 394-409
    • Zlámal, M.1
  • 557
    • 0002927041 scopus 로고
    • A finite element procedure of the second order of accuracy
    • Zlámal M. A finite element procedure of the second order of accuracy. Numer. Math. 16 (1970) 394-402
    • (1970) Numer. Math. , vol.16 , pp. 394-402
    • Zlámal, M.1
  • 558
    • 84985341576 scopus 로고
    • The finite element method in domains with curved boundaries
    • Zlámal M. The finite element method in domains with curved boundaries. Internat. J. Numer. Methods Engrg. 5 (1973) 367-373
    • (1973) Internat. J. Numer. Methods Engrg. , vol.5 , pp. 367-373
    • Zlámal, M.1
  • 559
    • 0001594856 scopus 로고
    • Curved elements in the finite element method, I
    • Zlámal M. Curved elements in the finite element method, I. SIAM J. Numer. Anal. 10 (1973) 229-240
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 229-240
    • Zlámal, M.1
  • 561
    • 0016048899 scopus 로고
    • Curved elements in the finite element method, II
    • Zlámal M. Curved elements in the finite element method, II. SIAM J. Numer. Anal. 11 (1974) 347-362
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 347-362
    • Zlámal, M.1
  • 562
    • 70350316170 scopus 로고    scopus 로고
    • Zlámal, M. (177), Some superconvergence results in the finite element method, in: I. Galligani and E. Magenes, eds., Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics 606 (Springer, Berlin) 353-362.
    • Zlámal, M. (177), Some superconvergence results in the finite element method, in: I. Galligani and E. Magenes, eds., Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics 606 (Springer, Berlin) 353-362.
  • 563
    • 84966258460 scopus 로고
    • Superconvergence and reduced integration in the finite element method
    • Zlámal M. Superconvergence and reduced integration in the finite element method. Math. Comp. 32 (1978) 663-685
    • (1978) Math. Comp. , vol.32 , pp. 663-685
    • Zlámal, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.