-
1
-
-
0004245694
-
Handbook of Mathematical Functions
-
National Bureau of Standards, Washington, CD
-
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Applied Mathematics Series 55, National Bureau of Standards, Washington, CD, 1964.
-
(1964)
Applied Mathematics Series 55
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
0022768316
-
A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations
-
S. Adjerid, J.E. Flaherty, A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations, SIAM J. Numer. Anal. 23 (1986), 778–796.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 778-796
-
-
Adjerid, S.1
Flaherty, J.E.2
-
3
-
-
0039861024
-
-
Tech. Report 91-1, Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY
-
S. Adjerid, J.E. Flaherty, Y.J. Wang, A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems, Tech. Report 91-1, Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY, 1991.
-
(1991)
A Posteriori Error Estimation with Finite Element Methods of Lines for One-Dimensional Parabolic Systems
-
-
Adjerid, S.1
Flaherty, J.E.2
Wang, Y.J.3
-
4
-
-
0030148802
-
Comparison of various kinds of edge elements for electromagnetic field analysis
-
A. Ahagon, K. Fujiwara, T. Nakata, Comparison of various kinds of edge elements for electromagnetic field analysis, IEEE Trans. Magn. 32 (1996), 898–901.
-
(1996)
IEEE Trans. Magn.
, vol.32
, pp. 898-901
-
-
Ahagon, A.1
Fujiwara, K.2
Nakata, T.3
-
5
-
-
0035850687
-
Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes
-
M. Ainsworth, J. Coyle, Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes, Comput. Methods Appl. Mech. Engrg. 190 (2001), 6709–6733.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 6709-6733
-
-
Ainsworth, M.1
Coyle, J.2
-
8
-
-
0031371976
-
-
Technical Report 1997/2, Department of Mathematics and Computer Science, University of Leicester, England
-
M. Ainsworth, B. Senior, Aspects of an hp-adaptive finite element method: Adaptive strategy, conforming approximation and efficient solvers, Technical Report 1997/2, Department of Mathematics and Computer Science, University of Leicester, England, 1997.
-
(1997)
Aspects of an Hp-Adaptive Finite Element Method: Adaptive Strategy, Conforming Approximation and Efficient Solvers
-
-
Ainsworth, M.1
Senior, B.2
-
10
-
-
0003706460
-
-
2nd ed., SIAM, Philadelphia, PA
-
E. Anderson et al., LAPACK Users' Guide, 2nd ed., SIAM, Philadelphia, PA, 1995.
-
(1995)
LAPACK Users' Guide
-
-
Anderson, E.1
-
11
-
-
0037860206
-
-
SIAM, Philadelphia, PA
-
O. Axelsson, V.A. Barker, Finite Element Solution of Boundary Value Problems, Classics in Applied Mathematics 35, SIAM, Philadelphia, PA, 2001.
-
(2001)
Finite Element Solution of Boundary Value Problems, Classics in Applied Mathematics
, vol.35
-
-
Axelsson, O.1
Barker, V.A.2
-
12
-
-
0026909316
-
Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements
-
I. Babuska, R. Durán, R. Rodrguez, Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements, SIAM J. Numer. Anal. 29 (1992), 947–964.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 947-964
-
-
Babuska, I.1
Durán, R.2
Rodrguez, R.3
-
13
-
-
0035630248
-
On one approach to a posteriori error estimates for evolution problems solved by the method of lines
-
I. Babuska, M. Feistauer, P. Soln,» On one approach to a posteriori error estimates for evolution problems solved by the method of lines, Numer. Math. 89 (2001), 225–256, online DOI 10.1007/s002110100228.
-
(2001)
Numer. Math.
, vol.89
, pp. 225-256
-
-
Babuska, I.1
Feistauer, M.2
Soln, P.3
-
14
-
-
0022047088
-
Basic principles of feedback and adaptive approaches in the finite element method
-
I. Babuska, W. Gui, Basic principles of feedback and adaptive approaches in the finite element method, Comput. Methods Appl. Mech. Engrg. 55 (1986), 27–42.
-
(1986)
Comput. Methods Appl. Mech. Engrg.
, vol.55
, pp. 27-42
-
-
Babuska, I.1
Gui, W.2
-
15
-
-
0030189240
-
Approximation properties of the hp version of the finite element method
-
I. Babuska, B.Q. Guo, Approximation properties of the hp version of the finite element method, Comput. Methods Appl. Mech. Engrg. 133 (1996), 319–346.
-
(1996)
Comput. Methods Appl. Mech. Engrg.
, vol.133
, pp. 319-346
-
-
Babuska, I.1
Guo, B.Q.2
-
16
-
-
0035827103
-
A posteriori error estimation for the semidis-crete finite element method of parabolic differential equations
-
I. Babuska, S. Ohnimus, A posteriori error estimation for the semidis-crete finite element method of parabolic differential equations, Comput. Methods Appl. Mech. Engrg. 190 (2001), 4691–4712.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 4691-4712
-
-
Babuska, I.1
Ohnimus, S.2
-
17
-
-
84985315731
-
A-posteriori error estimates for the finite element method
-
I. Babuska, W.C. Rheinboldt, A-posteriori error estimates for the finite element method, Internat. J. Numer. Methods Engrg. 12 (1978), 1597– 1615.
-
(1978)
Internat. J. Numer. Methods Engrg.
, vol.12
, pp. 1597-1615
-
-
Babuska, I.1
Rheinboldt, W.C.2
-
19
-
-
0031377805
-
Hp-optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension
-
I. Babu»ska, T. Strouboulis, K. Copps, hp-optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension, Comput. Methods Appl. Mech. Engrg. 150 (1997), 89–108.
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.150
, pp. 89-108
-
-
Babu»Ska, I.1
Strouboulis, T.2
Copps, K.3
-
20
-
-
0023400213
-
The optimal convergence rate of the p-version of the finite element method
-
I. Babuska, M. Suri, The optimal convergence rate of the p-version of the finite element method, SIAM J. Numer. Anal. 24 (1987), 750–776.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 750-776
-
-
Babuska, I.1
Suri, M.2
-
22
-
-
0026169599
-
Efficient preconditioning for the p-version finite element method in two dimensions
-
I. Babuska et al., Efficient preconditioning for the p-version finite element method in two dimensions, SIAM J. Numer. Anal. 28 (1991), 624–661.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 624-661
-
-
Babuska, I.1
-
23
-
-
85057491753
-
A-posteriori error estimation for finite element and generalized finite element method, TICAM Report 98-01
-
I. Babuska et al., A-posteriori error estimation for finite element and generalized finite element method, TICAM Report 98-01, The University of Texas at Austin, 1998.
-
(1998)
The University of Texas at Austin
-
-
Babuska, I.1
-
24
-
-
0003679830
-
PLTMG: A Software Package for Solving Elliptic Partial Differential Equations. Users' Guide 7.0
-
SIAM, Philadelphia, PA
-
R.E. Bank, PLTMG: A Software Package for Solving Elliptic Partial Differential Equations. Users' Guide 7.0, Frontiers in Applied Mathematics 15, SIAM, Philadelphia, PA, 1994.
-
(1994)
Frontiers in Applied Mathematics
, vol.15
-
-
Bank, R.E.1
-
25
-
-
0003990367
-
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations
-
R.E. Bank, D.J. Rose, Parameter selection for Newton-like methods applicable to nonlinear partial differential equations, SIAM J. Numer. Anal. 17 (1980), 806–822.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 806-822
-
-
Bank, R.E.1
Rose, D.J.2
-
26
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
R.E. Bank, A. Weiser, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp. 44 (1985), 283–301.
-
(1985)
Math. Comp.
, vol.44
, pp. 283-301
-
-
Bank, R.E.1
Weiser, A.2
-
27
-
-
85057504667
-
-
Research Report, General Motors, Warren, MI
-
R.E. Barnhill, W.J. Gordon, D.H. Thomas, Decomposition methods for the approximate integration of multivariate functions, Research Report, General Motors, Warren, MI.
-
Decomposition Methods for the Approximate Integration of Multivariate Functions
-
-
Barnhill, R.E.1
Gordon, W.J.2
Thomas, D.H.3
-
29
-
-
0000616562
-
Weighted a posteriori error control in FE method
-
Paris, September
-
R. Becker, R. Rannacher, Weighted a posteriori error control in FE method, in: Proc. ENUMATH-95, Paris, September 1995.
-
Proc. ENUMATH-95
, pp. 1995
-
-
Becker, R.1
Rannacher, R.2
-
30
-
-
0030383153
-
A feedback approach to error control in finite elements methods: Basic analysis and examples
-
R. Becker, R. Rannacher, A feedback approach to error control in finite elements methods: Basic analysis and examples, East-West J. Numer. Math. 4 (1996), 237–264.
-
(1996)
East-West J. Numer. Math.
, vol.4
, pp. 237-264
-
-
Becker, R.1
Rannacher, R.2
-
31
-
-
0027663102
-
Algorithm 720. An algorithm for adaptive cubature over a collection of 3-dimensional simplices
-
J. Berntsen, R. Cools, T.O. Espelid, Algorithm 720. An algorithm for adaptive cubature over a collection of 3-dimensional simplices, ACM Trans. Math. Software 19 (1993), 320–332.
-
(1993)
ACM Trans. Math. Software
, vol.19
, pp. 320-332
-
-
Berntsen, J.1
Cools, R.2
Espelid, T.O.3
-
32
-
-
38249043795
-
An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type
-
M. Bieterman, I. Babu»ska, An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type, J. Comput. Phys. 63 (1986), 33–66.
-
(1986)
J. Comput. Phys.
, vol.63
, pp. 33-66
-
-
Bieterman, M.1
Babu»Ska, I.2
-
33
-
-
0002791062
-
Un nouveau point de vue sur les éléments finis mixtes
-
A. Bossavit, Un nouveau point de vue sur les éléments finis mixtes, Bull. Soc. Math. Appl. Industr. (1989), 25–35.
-
(1989)
Bull. Soc. Math. Appl. Industr.
, pp. 25-35
-
-
Bossavit, A.1
-
34
-
-
0003602386
-
-
Academic Press, Boston, MA
-
A. Bossavit, Computational Electromagnetism: Variational Formulation, Edge Elements, Complementarity, Academic Press, Boston, MA, 1998.
-
(1998)
Computational Electromagnetism: Variational Formulation, Edge Elements, Complementarity
-
-
Bossavit, A.1
-
35
-
-
0019540439
-
A mixed FEM-BEM method to solve 3D eddy current problems
-
A. Bossavit, J. Verite, A mixed FEM-BEM method to solve 3D eddy current problems, IEEE Trans. Magn. MAG-18 (1982), 431–435.
-
(1982)
IEEE Trans. Magn. MAG
, vol.18
, pp. 431-435
-
-
Bossavit, A.1
Verite, J.2
-
37
-
-
0004003433
-
-
SIAM, Philadelphia, PA
-
K.E. Brenan, S.L. Campbell, L.R. Petzold, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics in Applied Mathematics 14, SIAM, Philadelphia, PA, 1996.
-
(1996)
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics in Applied Mathematics
, vol.14
-
-
Brenan, K.E.1
Campbell, S.L.2
Petzold, L.R.3
-
40
-
-
0000152484
-
VODE, a variable-coefficient ODE solver
-
P.N. Brown, G.D. Byrne, A.C. Hindmarsh, VODE, a variable-coefficient ODE solver, SIAM J. Sci. Statist. Comput. 10 (1989), 1038–1051.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 1038-1051
-
-
Brown, P.N.1
Byrne, G.D.2
Hindmarsh, A.C.3
-
41
-
-
33750393487
-
Reduced storage matrix methods in stiff ODE systems
-
P.N. Brown, A.C. Hindmarsh, Reduced storage matrix methods in stiff ODE systems, J. Appl. Math. Comput. 31 (1989), 40–91.
-
(1989)
J. Appl. Math. Comput.
, vol.31
, pp. 40-91
-
-
Brown, P.N.1
Hindmarsh, A.C.2
-
44
-
-
84913013906
-
Analysis of hypersonic flows in thermome-chanical equilibrium by application of the Galerkin least square formulation
-
(R.E. O'Malley, ed.), SIAM, Philadelphia, PA
-
F. Chalot, T.J.R. Hughes, Analysis of hypersonic flows in thermome-chanical equilibrium by application of the Galerkin least square formulation, In: Proc. 2nd International Conference for Industrial and Applied Mathematics (R.E. O'Malley, ed.), SIAM, Philadelphia, PA, 1992, 146– 159.
-
(1992)
Proc. 2Nd International Conference for Industrial and Applied Mathematics
, pp. 146-159
-
-
Chalot, F.1
Hughes, T.J.R.2
-
45
-
-
21844510596
-
Superconvergence analysis and error expansion for the Wilson non-conforming finite element
-
H.S. Chen, B. Li, Superconvergence analysis and error expansion for the Wilson non-conforming finite element, Numer. Math. 69 (1994), 125– 140.
-
(1994)
Numer. Math.
, vol.69
, pp. 125-140
-
-
Chen, H.S.1
Li, B.2
-
46
-
-
0004229548
-
-
Blackwell Science, Oxford
-
Y.K. Cheung, S.H. Lo, A.Y.T. Leung, Finite Element Implementation, Blackwell Science, Oxford, 1996.
-
(1996)
Finite Element Implementation
-
-
Cheung, Y.K.1
Lo, S.H.2
Leung, A.Y.T.3
-
47
-
-
46149124894
-
The Finite Element Method for Elliptic Problems
-
P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1979.
-
(1979)
North-Holland, Amsterdam
-
-
Ciarlet, P.G.1
-
48
-
-
0000697809
-
A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
-
F. Cirak, E. Ramm, A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem, Comput. Methods Appl. Mech. Engrg. 156 (1998), 351–362.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.156
, pp. 351-362
-
-
Cirak, F.1
Ramm, E.2
-
49
-
-
0016541865
-
Approximation by finite element functions using local reg-ularization
-
P. Clément, Approximation by finite element functions using local reg-ularization, RAIRO Anal. Numér. 9 (1975), 77–84.
-
(1975)
RAIRO Anal. Numér.
, vol.9
, pp. 77-84
-
-
Clément, P.1
-
51
-
-
84968470212
-
An algorithm for the machine calculation of complex Fourier series
-
J.W. Cooley, J.W. Tukey, An algorithm for the machine calculation of complex Fourier series, Math. Comp. 19 (1965), 297–301.
-
(1965)
Math. Comp.
, vol.19
, pp. 297-301
-
-
Cooley, J.W.1
Tukey, J.W.2
-
52
-
-
85011494605
-
Constructing cubature formulae: The science behind the art
-
R. Cools, Constructing cubature formulae: the science behind the art, Acta Numer. 8 (1997), 1–54.
-
(1997)
Acta Numer
, vol.8
, pp. 1-54
-
-
Cools, R.1
-
53
-
-
0023287816
-
Construction of fully symmetric cubature formulae of degree 4k – 3 for fully symmetric planar region
-
R. Cools, A. Haegemans, Construction of fully symmetric cubature formulae of degree 4k – 3 for fully symmetric planar region, J. Comput. Appl. Math. 17 (1987), 173–180.
-
(1987)
J. Comput. Appl. Math.
, vol.17
, pp. 173-180
-
-
Cools, R.1
Haegemans, A.2
-
54
-
-
2442486944
-
Algorithm 8xx. CUBPACK: A package for automatic cubature; framework description
-
press
-
R. Cools, A. Haegemans, Algorithm 8xx. CUBPACK: a package for automatic cubature; framework description, ACM Trans. Math. Software (2003), in press.
-
(2003)
ACM Trans. Math. Software
-
-
Cools, R.1
Haegemans, A.2
-
55
-
-
85057483899
-
-
S.A. Coons, Surfaces for computer aided design of space forms, Project MAC, Design Division, Department of Mechanical Engineering, MIT, Cambridge, MA, 1964, revised to MAC-TR-41, 1967.
-
(1967)
Surfaces for Computer Aided Design of Space Forms, Project MAC, Design Division, Department of Mechanical Engineering, MIT, Cambridge, MA, 1964, Revised to MAC-TR-41
-
-
Coons, S.A.1
-
56
-
-
0038814648
-
Conforming and non-conforming finite element methods for solving the stationary Stokes equations
-
M. Crouzeix, P.A. Raviart, Conforming and non-conforming finite element methods for solving the stationary Stokes equations, RAIRO R-3 (1973), 77–104.
-
(1973)
RAIRO
, vol.3R
, pp. 77-104
-
-
Crouzeix, M.1
Raviart, P.A.2
-
57
-
-
0023166798
-
Covariant projection elements for 3D vector field problems
-
C.W. Crowley, P.P. Silvester, H. Hurwitz, Jr., Covariant projection elements for 3D vector field problems, IEEE Trans. Magn. 24 (1998), 397–400.
-
(1998)
IEEE Trans. Magn
, vol.24
, pp. 397-400
-
-
Crowley, C.W.1
Silvester, P.P.2
Hurwitz, H.3
-
62
-
-
0030192299
-
Application of hp-adaptive BE/FE methods to elastic scattering
-
L. Demkowicz, J.T. Oden, Application of hp-adaptive BE/FE methods to elastic scattering, Comput. Methods Appl. Math. Engrg. 133 (1996), 287–318.
-
(1996)
Comput. Methods Appl. Math. Engrg.
, vol.133
, pp. 287-318
-
-
Demkowicz, L.1
Oden, J.T.2
-
63
-
-
85057449104
-
-
The University of Texas at Austin, June 2002
-
L. Demkowicz, D. Pardo, W. Rachowicz, 3D hp-adaptive finite element package (3Dhp90). Version 2.0. The ultimate (?) data structure for three-dimensional, anisotropic hp-refinements, TICAM Report 02-24, The University of Texas at Austin, June 2002.
-
3D Hp-Adaptive Finite Element Package (3Dhp90). Version 2.0. the Ultimate (?) Data Structure for Three-Dimensional, Anisotropic Hp-Refinements, TICAM Report 02-24
-
-
Demkowicz, L.1
Pardo, D.2
Rachowicz, W.3
-
64
-
-
0348097013
-
-
The University of Texas at Austin
-
L. Demkowicz, W. Rachowicz, P. Devloo, A fully automatic hp-adaptivity, TICAM Report 01-28, The University of Texas at Austin, 2001.
-
(2001)
A Fully Automatic Hp-Adaptivity, TICAM Report 01-28
-
-
Demkowicz, L.1
Rachowicz, W.2
Devloo, P.3
-
65
-
-
0031699492
-
Modelling of electromagnetic absorp-tion/scattering problems using hp-adaptive finite elements
-
L. Demkowicz, L. Vardapetyan, Modelling of electromagnetic absorp-tion/scattering problems using hp-adaptive finite elements, Comput. Methods Appl. Mech. Engrg. 152 (1998), 103–124.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.152
, pp. 103-124
-
-
Demkowicz, L.1
Vardapetyan, L.2
-
66
-
-
0024875086
-
Toward a universal hp-adaptive finite element strategy. Part 1: Constrained approximation and data structure
-
L. Demkowicz et al., Toward a universal hp-adaptive finite element strategy. Part 1: constrained approximation and data structure, Comput. Methods Appl. Math. Engrg. 77 (1989), 79–112.
-
(1989)
Comput. Methods Appl. Math. Engrg.
, vol.77
, pp. 79-112
-
-
Demkowicz, L.1
-
67
-
-
0034174052
-
De Rham diagram for hp-finite element spaces
-
L. Demkowicz et al., De Rham diagram for hp-finite element spaces, Comput. Math. Appl. 39 (2000), 29–38.
-
(2000)
Comput. Math. Appl.
, vol.39
, pp. 29-38
-
-
Demkowicz, L.1
-
68
-
-
85057472871
-
De Rham diagram in 3D. Quasi-optimal p-interpolation estimates, manuscript of TICAM Report
-
L. Demkowicz et al., De Rham diagram in 3D. Quasi-optimal p-interpolation estimates, manuscript of TICAM Report, The University of Texas at Austin, 2002.
-
(2002)
The University of Texas at Austin
-
-
Demkowicz, L.1
-
71
-
-
0025503082
-
Discrete vector potential representation of a divergence-free vector-field in three-dimensional domains. Numerical analysis of a model problem
-
F. Dubois, Discrete vector potential representation of a divergence-free vector-field in three-dimensional domains. Numerical analysis of a model problem, SIAM J. Numer. Anal. 27 (1990), 1103–1141.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1103-1141
-
-
Dubois, F.1
-
72
-
-
0003554095
-
-
Clarendon Press, Oxford
-
I.S. Duff, A.M. Erisman, J.K. Reid, Direct Methods for Sparse Matrices, Clarendon Press, Oxford, 1997.
-
(1997)
Direct Methods for Sparse Matrices
-
-
Duff, I.S.1
Erisman, A.M.2
Reid, J.K.3
-
73
-
-
0022144545
-
Economical symmetrical quadrature rules for complete polynomials over a square domain
-
D.A. Dunavant, Economical symmetrical quadrature rules for complete polynomials over a square domain, Internat. J. Numer. Methods Engrg. 21 (1985), 1777–1784.
-
(1985)
Internat. J. Numer. Methods Engrg.
, vol.21
, pp. 1777-1784
-
-
Dunavant, D.A.1
-
74
-
-
0022076980
-
High degree efficient symmetrical Gaussian quadrature rules for the triangle
-
D.A. Dunavant, High degree efficient symmetrical Gaussian quadrature rules for the triangle, Internat. J. Numer. Methods Engrg. 21 (1985), 1129–1148.
-
(1985)
Internat. J. Numer. Methods Engrg.
, vol.21
, pp. 1129-1148
-
-
Dunavant, D.A.1
-
75
-
-
0022677758
-
Efficient symmetrical cubature rules for complete polynomials of high degree over the unit cube
-
D.A. Dunavant, Efficient symmetrical cubature rules for complete polynomials of high degree over the unit cube, Internat. J. Numer. Methods Engrg. 23 (1986), 397–407.
-
(1986)
Internat. J. Numer. Methods Engrg.
, vol.23
, pp. 397-407
-
-
Dunavant, D.A.1
-
77
-
-
0002596818
-
Curved isoparametric “quadri-lateral" elements for finite element analysis
-
I. Ergatoudis, B. Irons, O. Zienkiewicz, Curved isoparametric “quadri-lateral" elements for finite element analysis, Internat. J. Solids Structures 4 (1968), 31–42.
-
(1968)
Internat. J. Solids Structures
, vol.4
, pp. 31-42
-
-
Ergatoudis, I.1
Irons, B.2
Zienkiewicz, O.3
-
78
-
-
84966225938
-
Adaptive finite element methods for linear elliptic problems
-
K. Eriksson, C. Johnson, Adaptive finite element methods for linear elliptic problems, Math. Comp. 50 (1988), 361–383.
-
(1988)
Math. Comp.
, vol.50
, pp. 361-383
-
-
Eriksson, K.1
Johnson, C.2
-
79
-
-
0026106415
-
Adaptive finite element methods for parabolic problems I: A linear model problem
-
K. Eriksson, C. Johnson, Adaptive finite element methods for parabolic problems I: A linear model problem, SIAM J. Numer. Anal. 28 (1991), 43–77.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 43-77
-
-
Eriksson, K.1
Johnson, C.2
-
80
-
-
84904150653
-
Adaptive finite element methods for parabolic problems IV: Nonlinear problems
-
K. Eriksson, C. Johnson, Adaptive finite element methods for parabolic problems IV: Nonlinear problems, SIAM J. Numer. Anal. 32 (1995), 1729–1749.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1729-1749
-
-
Eriksson, K.1
Johnson, C.2
-
83
-
-
0141541032
-
-
Cambridge, England
-
A.R. Forrest, Curves and surfaces for computer aided design, Ph.D. Thesis, The University Mathematical Laboratory, Cambridge University, Cambridge, England, 1968.
-
(1968)
Curves and Surfaces for Computer Aided Design, Ph.D. Thesis, the University Mathematical Laboratory, Cambridge University
-
-
Forrest, A.R.1
-
84
-
-
85057455428
-
Coons surfaces and multivariable curve interpolation
-
A.R. Forrest, Coons surfaces and multivariable curve interpolation, J. Assoc. Comput. Mach. (1971).
-
(1971)
J. Assoc. Comput. Mach.
-
-
Forrest, A.R.1
-
85
-
-
0001367417
-
A numerical study of three moving grid methods for one-dimensional partial differential equations which are based on the method of lines
-
R.M. Furzeland, J.G. Verwer, P.A. Zegeling, A numerical study of three moving grid methods for one-dimensional partial differential equations which are based on the method of lines, J. Comput. Phys. 89 (1990), 349–388.
-
(1990)
J. Comput. Phys.
, vol.89
, pp. 349-388
-
-
Furzeland, R.M.1
Verwer, J.G.2
Zegeling, P.A.3
-
86
-
-
85057437310
-
Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen
-
H. Gajewski, K. Gröger, K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1994.
-
(1994)
Akademie-Verlag, Berlin
-
-
Gajewski, H.1
Gröger, K.2
Zacharias, K.3
-
87
-
-
84937350310
-
The simultaneous numerical solution of differential-algebraic equations
-
W.C. Gear, The simultaneous numerical solution of differential-algebraic equations, IEEE Trans. Circuit Theory CT-18 (1971), 89–95.
-
(1971)
IEEE Trans. Circuit Theory CT
, vol.18
, pp. 89-95
-
-
Gear, W.C.1
-
88
-
-
0003645035
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
A. George, J.W.H. Liu, Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall, Englewood Cliffs, NJ, 1981.
-
(1981)
Computer Solution of Large Sparse Positive Definite Systems
-
-
George, A.1
Liu, J.W.H.2
-
89
-
-
0033121769
-
Convergence of high-order curl-conforming finite elements
-
C. Geuzaine et al., Convergence of high-order curl-conforming finite elements, IEEE Trans. Magn. 35 (1999), 1442–1444.
-
(1999)
IEEE Trans. Magn.
, vol.35
, pp. 1442-1444
-
-
Geuzaine, C.1
-
92
-
-
0004236492
-
-
3rd ed., Johns Hopkins University Press, Baltimore
-
G.H. Golub, C.F. Van Loan, Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
van Loan, C.F.2
-
94
-
-
0003002240
-
Distributive lattices and the approximation of multivariate functions
-
I.J. Schoenberg, ed., Academic Press, New York
-
W.J. Gordon, Distributive lattices and the approximation of multivariate functions, In: Approximation with Special Emphasis on Spline Functions (I.J. Schoenberg, ed.), Academic Press, New York, 1969, 223 – 277.
-
(1969)
Approximation with Special Emphasis on Spline Functions
, pp. 223-277
-
-
Gordon, W.J.1
-
96
-
-
0001001940
-
Spline-blended surface interpolation through curve networks
-
W.J. Gordon, Spline-blended surface interpolation through curve networks, J. Math. Mech. 18 (1969), 931–952.
-
(1969)
J. Math. Mech.
, vol.18
, pp. 931-952
-
-
Gordon, W.J.1
-
97
-
-
0000277324
-
Blending function methods of bivariate and multivariate interpolation and approximation
-
W.J. Gordon, Blending function methods of bivariate and multivariate interpolation and approximation, SIAM J. Numer. Anal. 8 (1971), 158– 177.
-
(1971)
SIAM J. Numer. Anal.
, vol.8
, pp. 158-177
-
-
Gordon, W.J.1
-
98
-
-
85057491153
-
Geometric aspects of the finite element method: Construction of curvilinear coordinate systems and their application to mesh generation
-
W.J. Gordon, C.A. Hall, Geometric aspects of the finite element method: Construction of curvilinear coordinate systems and their application to mesh generation, Int. J. Numer. Methods Engrg. (1972).
-
(1972)
Int. J. Numer. Methods Engrg.
-
-
Gordon, W.J.1
Hall, C.A.2
-
99
-
-
0000686693
-
Transfinite element methods: Blending functions interpolation over arbitrary element domains
-
W.J. Gordon, C.A. Hall, Transfinite element methods: Blending functions interpolation over arbitrary element domains, Numer. Math. 21 (1973), 109–129.
-
(1973)
Numer. Math.
, vol.21
, pp. 109-129
-
-
Gordon, W.J.1
Hall, C.A.2
-
100
-
-
0003470761
-
-
SIAM, Philadelphia, PA
-
A. Greenbaum, Iterative Methods for Solving Linear Systems, Frontiers in Applied Mathematics 17, SIAM, Philadelphia, PA, 1997.
-
(1997)
Iterative Methods for Solving Linear Systems, Frontiers in Applied Mathematics
, vol.17
-
-
Greenbaum, A.1
-
101
-
-
0007190882
-
Invariant integration formulas for the n-simplex by combinatorial methods
-
A. Grundmann, H.M. Moeller, Invariant integration formulas for the n-simplex by combinatorial methods, SIAM J. Numer. Anal. 15 (1978), 282–290.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 282-290
-
-
Grundmann, A.1
Moeller, H.M.2
-
102
-
-
0043093057
-
Lanczos-type solvers for non-symmetric linear systems of equations
-
M.H. Gutknecht, Lanczos-type solvers for non-symmetric linear systems of equations, Technical Report, Swiss Center for Scientific Computing, ETH, Zürich, 1997.
-
(1997)
Technical Report, Swiss Center for Scientific Computing, ETH, Zürich
-
-
Gutknecht, M.H.1
-
103
-
-
0035341796
-
Parallel multigrid 3D Maxwell solvers
-
G. Haase, M. Kuhn, U. Langer, Parallel multigrid 3D Maxwell solvers, Parallel Comput. 27 (2001), 761–775.
-
(2001)
Parallel Comput
, vol.27
, pp. 761-775
-
-
Haase, G.1
Kuhn, M.2
Langer, U.3
-
106
-
-
0344464853
-
Nonconforming finite element analysis for a plate contact problem
-
V. Han, L. Wang, Nonconforming finite element analysis for a plate contact problem, SIAM J. Industr. Appl. Math. 40 (2002), 1683–1697.
-
(2002)
SIAM J. Industr. Appl. Math.
, vol.40
, pp. 1683-1697
-
-
Han, V.1
Wang, L.2
-
107
-
-
0021513549
-
Finite element analysis of dielectric-loaded waveguides
-
M. Hano, Finite element analysis of dielectric-loaded waveguides, IEEE Trans. Microwave Theory Tech. MTT-32 (1984), 1275–1279.
-
(1984)
IEEE Trans. Microwave Theory Tech. MTT
, vol.32
, pp. 1275-1279
-
-
Hano, M.1
-
108
-
-
0000135303
-
Methods of conjugate gradients for solving linear algebraic systems
-
M.R. Hestenes, E. Stiefel, Methods of conjugate gradients for solving linear algebraic systems, J. Res. Nat. Bur. Standards 49 (1952), 409– 435.
-
(1952)
J. Res. Nat. Bur. Standards
, vol.49
, pp. 409-435
-
-
Hestenes, M.R.1
Stiefel, E.2
-
109
-
-
0000185847
-
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
-
J.S. Hesthaven, From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex, SIAM J. Numer. Anal. 35 (1998), 655–676.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 655-676
-
-
Hesthaven, J.S.1
-
110
-
-
0032681315
-
Stable spectral methods for conservation laws on triangles with unstructured grids
-
J.S. Hesthaven, D. Gottlieb, Stable spectral methods for conservation laws on triangles with unstructured grids, Comput. Methods Appl. Mech. Engrg. 175 (1999), 361–381.
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.175
, pp. 361-381
-
-
Hesthaven, J.S.1
Gottlieb, D.2
-
111
-
-
0034503732
-
Stable spectral methods on tetrahedral elements
-
J.S. Hesthaven, C.H. Teng, Stable spectral methods on tetrahedral elements, SIAM J. Sci. Comput. 21 (2000), 2352–2380.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2352-2380
-
-
Hesthaven, J.S.1
Teng, C.H.2
-
112
-
-
0036740992
-
High-order nodal methods on unstructured grids. I. Time-domain solution of Maxwell's equations
-
J.S. Hesthaven, T. Warburton, High-order nodal methods on unstructured grids. I. Time-domain solution of Maxwell's equations, J. Comput. Phys. 181 (2002), 186–221.
-
(2002)
J. Comput. Phys.
, vol.181
, pp. 186-221
-
-
Hesthaven, J.S.1
Warburton, T.2
-
113
-
-
0002445594
-
LSODE and LSODI, two new initial value ordinary differential equation solvers
-
A.C. Hindmarsh, LSODE and LSODI, two new initial value ordinary differential equation solvers, ACM SIGNUM Newslett. 15 (1980), 10– 11.
-
(1980)
ACM SIGNUM Newslett
, vol.15
, pp. 10-11
-
-
Hindmarsh, A.C.1
-
114
-
-
0001811061
-
ODEPACK. A systematized collection of ODE solvers
-
Scientific Computing (R.S. Stapleman et al., eds.), North-Holland, Amsterdam
-
A.C. Hindmarsh, ODEPACK. A systematized collection of ODE solvers, In: Scientific Computing (R.S. Stapleman et al., eds.), IMACS Transactions on Scientific Computation 1, North-Holland, Amsterdam, 1983, 55–64.
-
(1983)
IMACS Transactions on Scientific Computation
, vol.1
, pp. 55-64
-
-
Hindmarsh, A.C.1
-
115
-
-
0033461694
-
Canonical construction of finite elements
-
R. Hiptmair, Canonical construction of finite elements, Math. Comput. 68 (1999), 1325–1346.
-
(1999)
Math. Comput.
, vol.68
, pp. 1325-1346
-
-
Hiptmair, R.1
-
117
-
-
1942512503
-
Hp-adaptive discontinuous Galerkin finite element methods for first order hyperbolic problems
-
to appear
-
P. Houston, E. Süli, hp-adaptive discontinuous Galerkin finite element methods for first order hyperbolic problems, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Houston, P.1
Süli, E.2
-
118
-
-
0034408940
-
Optimal finite difference grids and rational approximations of the square root. I. Elliptic Problems
-
D. Ingerman, V. Druskin, L. Knizhnerman, Optimal finite difference grids and rational approximations of the square root. I. Elliptic Problems, Commun. Pure Appl. Math. 8 (2000), 1039–1066.
-
(2000)
Commun. Pure Appl. Math.
, Issue.8
, pp. 1039-1066
-
-
Ingerman, D.1
Druskin, V.2
Knizhnerman, L.3
-
120
-
-
0003437330
-
-
T. Kailath, A.H. Sayed (eds.), SIAM, Philadelphia, PA
-
T. Kailath, A.H. Sayed (eds.), Fast Reliable Algorithms for Matrices with Structure, SIAM, Philadelphia, PA, 1999.
-
(1999)
Fast Reliable Algorithms for Matrices with Structure
-
-
-
121
-
-
0001408252
-
A nonconforming finite element method for the stationary Navier-Stokes equations
-
O.A. Karakashian, W.N. Jureidini, A nonconforming finite element method for the stationary Navier-Stokes equations, SIAM J. Numer. Anal. 35 (1998), 93–120.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 93-120
-
-
Karakashian, O.A.1
Jureidini, W.N.2
-
123
-
-
0022717292
-
Moderate-degree tetrahedral quadrature formulas
-
P. Keast, Moderate-degree tetrahedral 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
-
124
-
-
0030353045
-
Analysis of a class of non-conforming finite elements for crystalline microstructures
-
P. Kloucek, B. Li, M. Luskin, Analysis of a class of non-conforming finite elements for crystalline microstructures, Math. Comp. 65 (1996), 1111–1135.
-
(1996)
Math. Comp.
, vol.65
, pp. 1111-1135
-
-
Kloucek, P.1
Li, B.2
Luskin, M.3
-
125
-
-
0005520315
-
The three-dimensional non-conforming finite element solution of the Chapman-Ferraro problem
-
P. Kloucek, F. Toffoletto, The three-dimensional non-conforming finite element solution of the Chapman-Ferraro problem, J. Comput. Phys. 150 (1999), 549–560.
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 549-560
-
-
Kloucek, P.1
Toffoletto, F.2
-
126
-
-
0004293402
-
-
John Wiley & Sons, New York
-
Z. Kopal, Numerical Analysis, John Wiley & Sons, New York, 1961.
-
(1961)
Numerical Analysis
-
-
Kopal, Z.1
-
127
-
-
0003460648
-
-
Pitman Monographs and Surveys in Pure and Applied Mathematics 50, Longman Scientific & Technical, Harlow
-
M. Krzek, P. Neittaanmäki, Finite Element Approximations of Variational Problems and Applications, Pitman Monographs and Surveys in Pure and Applied Mathematics 50, Longman Scientific & Technical, Harlow, 1990.
-
(1990)
Finite Element Approximations of Variational Problems and Applications
-
-
Krzek, M.1
Neittaanmäki, P.2
-
128
-
-
85028625966
-
-
Academia, Prague
-
A. Kufner, O. John, S. Fuck, Function Spaces, Academia, Prague, 1977.
-
(1977)
S. Fuck, Function Spaces
-
-
Kufner, A.1
John, O.2
-
130
-
-
70449904614
-
Computational Methods in Ordinary Differential Equations
-
J.D. Lambert, Computational Methods in Ordinary Differential Equations, J. Wiley & Sons, London–New York, 1973.
-
(1973)
J. Wiley & Sons, London–New York
-
-
Lambert, J.D.1
-
133
-
-
0002827851
-
Moderate degree symmetric quadrature rules for the triangle
-
J.N. Lyness, D. Jespersen, Moderate degree symmetric quadrature rules for the triangle, J. Inst. Math. Appl. 15 (1975), 15–32.
-
(1975)
J. Inst. Math. Appl.
, vol.15
, pp. 15-32
-
-
Lyness, J.N.1
Jespersen, D.2
-
134
-
-
0003816337
-
-
SIAM, Philadelphia, PA
-
S.F. McCormick, Multilevel Adaptive Methods for Partial Differential Equations, Frontiers in Applied Mathematics 6, SIAM, Philadelphia, PA, 1989.
-
(1989)
Multilevel Adaptive Methods for Partial Differential Equations, Frontiers in Applied Mathematics
, vol.6
-
-
McCormick, S.F.1
-
135
-
-
0031508702
-
On the robust exponential convergence of hp finite element methods for problems with boundary layers
-
J.M. Melenk, On the robust exponential convergence of hp finite element methods for problems with boundary layers, IMA J. Numer. Anal. 17 (1997), 577–601.
-
(1997)
IMA J. Numer. Anal.
, vol.17
, pp. 577-601
-
-
Melenk, J.M.1
-
138
-
-
0002910232
-
An analysis of Nédélec's method for spatial discretization of Maxwell's equations
-
P. Monk, An analysis of Nédélec's method for spatial discretization of Maxwell's equations, J. Comput. Appl. Math. (1993), 103–121.
-
(1993)
J. Comput. Appl. Math.
, pp. 103-121
-
-
Monk, P.1
-
139
-
-
0028479273
-
On the p-and hp-extension of Nédélec's H(Curl)-conforming elements
-
P. Monk, On the p-and hp-extension of Nédélec's H(curl)-conforming elements, J. Comput. Appl. Math. (1994), 117–137.
-
(1994)
J. Comput. Appl. Math.
, pp. 117-137
-
-
Monk, P.1
-
140
-
-
0028374973
-
A posteriori error estimation with finite element semi-and fully discrete methods for nonlinear parabolic equations in one space dimension
-
P.K. Moore, A posteriori error estimation with finite element semi-and fully discrete methods for nonlinear parabolic equations in one space dimension, SIAM J. Numer. Anal. 31 (1994), 149–169.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 149-169
-
-
Moore, P.K.1
-
141
-
-
0028515029
-
Edge elements, their advantages and their disadvantages
-
G. Mur, Edge elements, their advantages and their disadvantages, IEEE Trans. Magn. 30 (1994), 3552–3557.
-
(1994)
IEEE Trans. Magn.
, vol.30
, pp. 3552-3557
-
-
Mur, G.1
-
144
-
-
0034373609
-
A-posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
-
R.H. Nochetto, G. Savaré, C. Verdi, A-posteriori error estimates for variable time-step discretizations of nonlinear evolution equations, Commun. Pure Appl. Math. 53 (2003), 525–589.
-
(2003)
Commun. Pure Appl. Math.
, vol.53
, pp. 525-589
-
-
Nochetto, R.H.1
Savaré, G.2
Verdi, C.3
-
145
-
-
85057463009
-
Theory and implementation of high-order adaptive hp methods for the analysis of incompressible viscous flow, TICAM Report
-
J.T. Oden, Theory and implementation of high-order adaptive hp methods for the analysis of incompressible viscous flow, TICAM Report, The University of Texas at Austin, 1992.
-
(1992)
The University of Texas at Austin
-
-
Oden, J.T.1
-
147
-
-
0026996287
-
An hp-adaptive strategy
-
(A.K. Noor, ed.), ASME Publication 157, New York
-
J.T. Oden, A. Patra, Y. Feng, An hp-adaptive strategy, In: Adaptive Multilevel and Hierarchic Computational Strategies (A.K. Noor, ed.), ASME Publication 157, New York, 1992, 23–46.
-
(1992)
Adaptive Multilevel and Hierarchic Computational Strategies
, pp. 23-46
-
-
Oden, J.T.1
Patra, A.2
Feng, Y.3
-
148
-
-
0034817636
-
Goal-oriented error estimation and adaptivity for the finite element method
-
J.T. Oden, S. Prudhomme, Goal-oriented error estimation and adaptivity for the finite element method, Comput. Math. Appl. 41 (2001), 735–756.
-
(2001)
Comput. Math. Appl.
, vol.41
, pp. 735-756
-
-
Oden, J.T.1
Prudhomme, S.2
-
149
-
-
0042616234
-
Three step hp adaptive strategy for the incompressible Navier-Stokes equations
-
(I. Babu»ska, J.E. Flaherty, eds.), IMA Vol. Math. Appl, Springer, New York
-
J.T. Oden, W. Wu, M. Ainsworth, Three step hp adaptive strategy for the incompressible Navier-Stokes equations, In: Modeling, Mesh Generation and Adaptive Numerical Methods for Partial Differential Equations (I. Babu»ska, J.E. Flaherty, eds.), IMA Vol. Math. Appl. 75, Springer, New York, 1995, 347–366.
-
(1995)
Modeling, Mesh Generation and Adaptive Numerical Methods for Partial Differential Equations
, vol.75
, pp. 347-366
-
-
Oden, J.T.1
Wu, W.2
Ainsworth, M.3
-
150
-
-
0024945154
-
Towards a universal hp adaptive finite element strategy. Part 2. A posteriori error estimation
-
J.T. Oden et al., Towards a universal hp adaptive finite element strategy. Part 2. A posteriori error estimation, Comput. Methods Appl. Mech. Engrg. 77 (1989), 113–180.
-
(1989)
Comput. Methods Appl. Mech. Engrg.
, vol.77
, pp. 113-180
-
-
Oden, J.T.1
-
151
-
-
0025494150
-
A-posteriori error analysis in finite elements. The element residual methods for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations
-
J.T. Oden et al., A-posteriori error analysis in finite elements. The element residual methods for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 82 (1990), 183–203.
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.82
, pp. 183-203
-
-
Oden, J.T.1
-
152
-
-
0032496557
-
A hierarchical duality approach to bounds for the outputs of partial differential equations
-
M. Paraschivoiu, A.T. Patera, A hierarchical duality approach to bounds for the outputs of partial differential equations, Comput. Methods Appl. Mech. Engrg. 158 (1998), 389–407.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.158
, pp. 389-407
-
-
Paraschivoiu, M.1
Patera, A.T.2
-
153
-
-
27744498160
-
Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement
-
(P. Ladevéze, J.T. Oden, eds.), Elsevier, Amsterdam
-
J. Peraire, A.T. Patera, Bounds for linear-functional outputs of coercive partial differential equations: local indicators and adaptive refinement, In: Advances in Adaptive Computational Methods in Mechanics (P. Ladevéze, J.T. Oden, eds.), Elsevier, Amsterdam, 1998, 199–215.
-
(1998)
Advances in Adaptive Computational Methods in Mechanics
, pp. 199-215
-
-
Peraire, J.1
Patera, A.T.2
-
155
-
-
0032308963
-
Adaptive finite elements for a linear parabolic problem
-
M. Picasso, Adaptive finite elements for a linear parabolic problem, Comput. Methods Appl. Mech. Engrg. 167 (1998), 223–237.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.167
, pp. 223-237
-
-
Picasso, M.1
-
157
-
-
84857576077
-
-
M. Práger, J. Taufer, E. Vitásek, Overimplicit multistep methods, Appl. Math. 18 (1973), 399–421.
-
(1973)
Overimplicit Multistep Methods, Appl. Math.
, vol.18
, pp. 399-421
-
-
Práger, M.1
Taufer, J.2
Vitásek, E.3
-
159
-
-
0003430389
-
-
2nd ed., Springer-Verlag, Berlin
-
A. Quarteroni, A. Valli, Numerical Approximation of Partial Differential Equations, 2nd ed., Springer-Verlag, Berlin, 1997.
-
(1997)
Numerical Approximation of Partial Differential Equations
-
-
Quarteroni, A.1
Valli, A.2
-
160
-
-
0002796654
-
A two-dimensional hp-adaptive finite package for electromagnetics
-
W. Rachowicz, L. Demkowicz, A two-dimensional hp-adaptive finite package for electromagnetics, Comput. Methods Appl. Mech. Engrg. 93 (1999), 315–341.
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.93
, pp. 315-341
-
-
Rachowicz, W.1
Demkowicz, L.2
-
161
-
-
0037049917
-
An hp-adaptive finite element method for electromagnetics. Part II. A 3D implementation
-
W. Rachowicz, L. Demkowicz, An hp-adaptive finite element method for electromagnetics. Part II. A 3D implementation, Internat. J. Numer. Methods Engrg. 53 (2002), 147–180.
-
(2002)
Internat. J. Numer. Methods Engrg.
, vol.53
, pp. 147-180
-
-
Rachowicz, W.1
Demkowicz, L.2
-
162
-
-
0024885663
-
Toward a universal hp-adaptive finite element strategy. Part 3. Design of hp meshes
-
W. Rachowicz, J.T. Oden, L. Demkowicz, Toward a universal hp-adaptive finite element strategy. Part 3. Design of hp meshes, Comput. Methods Appl. Mech. Engrg. 77 (1989), 181–212.
-
(1989)
Comput. Methods Appl. Mech. Engrg.
, vol.77
, pp. 181-212
-
-
Rachowicz, W.1
Oden, J.T.2
Demkowicz, L.3
-
164
-
-
0032022409
-
A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity
-
R. Rannacher, F.T. Stuttmeier, A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity, Comput. Mech. 21 (1998), 123–133.
-
(1998)
Comput. Mech.
, vol.21
, pp. 123-133
-
-
Rannacher, R.1
Stuttmeier, F.T.2
-
166
-
-
84966238632
-
Primal hybrid finite element methods for second-order elliptic equations
-
P.A. Raviart, J.M. Thomas, Primal hybrid finite element methods for second-order elliptic equations, Math. Comput. 31 (1997), 391–413.
-
(1997)
Math. Comput.
, vol.31
, pp. 391-413
-
-
Raviart, P.A.1
Thomas, J.M.2
-
168
-
-
0003455090
-
-
Springer-Verlag, Berlin
-
H.-G. Roos, M. Stynes, L. Tobiska, Numerical Methods for Singularly Pertubed Differential Equations (Convection-Diffusion and Flow Prob-lems), Springer-Verlag, Berlin, 1996.
-
(1996)
Numerical Methods for Singularly Pertubed Differential Equations (Convection-Diffusion and Flow Prob-Lems)
-
-
Roos, H.-G.1
Stynes, M.2
Tobiska, L.3
-
169
-
-
0242524326
-
Iterative Methods for Sparse Linear Systems, PWS Series in Computer Science
-
Y. Saad, Iterative Methods for Sparse Linear Systems, PWS Series in Computer Science, PWS Publishing Company, Boston, MA, 1996.
-
(1996)
PWS Publishing Company, Boston, MA
-
-
Saad, Y.1
-
170
-
-
84921124124
-
Tables for facilitating of Chebyshev's quadrature formulae
-
H.E. Salzer, Tables for facilitating of Chebyshev's quadrature formulae, J. Math. Phys. 26 (1947), 191–194.
-
(1947)
J. Math. Phys.
, vol.26
, pp. 191-194
-
-
Salzer, H.E.1
-
173
-
-
0003332097
-
Grid adjustment based on a posteriori error estimates
-
K. Segeth, Grid adjustment based on a posteriori error estimates, Appl. Math. 38 (1993), 488–504.
-
(1993)
Appl. Math.
, vol.38
, pp. 488-504
-
-
Segeth, K.1
-
174
-
-
0000293768
-
A posteriori error estimates for parabolic differential systems solved by the finite element method of lines
-
K. Segeth, A posteriori error estimates for parabolic differential systems solved by the finite element method of lines, Appl. Math. 39 (1994), 415–443.
-
(1994)
Appl. Math.
, vol.39
, pp. 415-443
-
-
Segeth, K.1
-
175
-
-
0033413802
-
A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension
-
K. Segeth, A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension, Numer. Math. 83 (1999), 455–475.
-
(1999)
Numer. Math.
, vol.83
, pp. 455-475
-
-
Segeth, K.1
-
180
-
-
0003433071
-
-
3rd ed., John Wiley & Sons, Chichester
-
I.M. Smith, D.V. Griffiths, Programming the Finite Element Method, 3rd ed., John Wiley & Sons, Chichester, 1997.
-
(1997)
Programming the Finite Element Method
-
-
Smith, I.M.1
Griffiths, D.V.2
-
182
-
-
85057503861
-
-
Charles University, Prague
-
P. Sol´“n,» On the method of lines (Applications in the computational fluid dynamics and a-posteriori error estimation), PhD Thesis, Faculty of Mathematics and Physics, Charles University, Prague, 1999.
-
(1999)
Sol´“n,» on the Method of Lines (Applications in the Computational Fluid Dynamics and A-Posteriori Error Estimation), Phd Thesis, Faculty of Mathematics and Physics
-
-
-
186
-
-
0025208435
-
A posteriori error estimation of finite element approximations in fluid mechanics
-
T. Strouboulis, J.T. Oden, A posteriori error estimation of finite element approximations in fluid mechanics, Comput. Methods Appl. Mech. Engrg. 78 (1990), 201–242.
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.78
, pp. 201-242
-
-
Strouboulis, T.1
Oden, J.T.2
-
188
-
-
0003430610
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
A. Stroud, D. Secrest, Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, NJ, 1966.
-
(1966)
Gaussian Quadrature Formulas
-
-
Stroud, A.1
Secrest, D.2
-
189
-
-
0029387323
-
Spurious modes in finite element methods
-
D. Sun et al., Spurious modes in finite element methods, IEEE Trans. Antennas and Propagation 37 (1995), 12–24.
-
(1995)
IEEE Trans. Antennas and Propagation
, vol.37
, pp. 12-24
-
-
Sun, D.1
-
190
-
-
0018519322
-
Algorithm 541. Efficient Fortran subprograms for the solution of separable elliptic partial differential equations
-
P.N. Swarztrauber, R.A. Sweet, Algorithm 541. Efficient Fortran subprograms for the solution of separable elliptic partial differential equations, ACM Trans. Math. Software 5 (1979), 352–371.
-
(1979)
ACM Trans. Math. Software
, vol.5
, pp. 352-371
-
-
Swarztrauber, P.N.1
Sweet, R.A.2
-
195
-
-
0006768528
-
The condition of certain matrices
-
R. Todd, The condition of certain matrices, Quart. J. Mech. Appl. Math. 2 (1949), 469–472.
-
(1949)
Quart. J. Mech. Appl. Math.
, vol.2
, pp. 469-472
-
-
Todd, R.1
-
196
-
-
0003424374
-
-
SIAM, Philadelphia, PA
-
L.N. Trefethen, D. Bau, Numerical Linear Algebra, SIAM, Philadelphia, PA, 1997.
-
(1997)
Numerical Linear Algebra
-
-
Trefethen, L.N.1
Bau, D.2
-
198
-
-
84884159125
-
-
A. Vande Wouwer, P. Saucez, W.E. Schiesser (eds.), Chapman & Hall/CRC, Boca Raton, FL
-
A. Vande Wouwer, P. Saucez, W.E. Schiesser (eds.), Adaptive Method of Lines, Chapman & Hall/CRC, Boca Raton, FL, 2001.
-
(2001)
Adaptive Method of Lines
-
-
-
201
-
-
0000239902
-
1;ρ (Ω))-error estimates for finite element discretizations of parabolic equations
-
1;ρ (Ω))-error estimates for finite element discretizations of parabolic equations, Numer. Methods Partial Differential Equations 14 (1998), 487–518.
-
(1998)
Numer. Methods Partial Differential Equations
, vol.14
, pp. 487-518
-
-
Verfürth, R.1
-
202
-
-
0027559257
-
Curvilinear and higher-order edge elements in electromagnetic field computation
-
J. Wang, N. Ida, Curvilinear and higher-order edge elements in electromagnetic field computation, IEEE Trans. Magn. 29 (1993), 1491–1494.
-
(1993)
IEEE Trans. Magn.
, vol.29
, pp. 1491-1494
-
-
Wang, J.1
Ida, N.2
-
203
-
-
0033170379
-
Hierarchical vector based functions of arbitrary order for triangular and tetrahedral finite elements
-
J. Webb, Hierarchical vector based functions of arbitrary order for triangular and tetrahedral finite elements, IEEE Trans. Antennas and Propagation 47 (1999), 1244–1253.
-
(1999)
IEEE Trans. Antennas and Propagation
, vol.47
, pp. 1244-1253
-
-
Webb, J.1
-
206
-
-
0003863228
-
-
Springer-Verlag, Berlin
-
J.H. Wilkinson, C. Reinsch, Linear Algebra, Handbook for Automatic Computation 2, Springer-Verlag, Berlin, 1971.
-
(1971)
Linear Algebra, Handbook for Automatic Computation 2
-
-
Wilkinson, J.H.1
Reinsch, C.2
-
207
-
-
84966253519
-
Iterative methods for solving partial difference equations of elliptic type
-
D.M. Young, Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc. 76 (1954), 92–111.
-
(1954)
Trans. Amer. Math. Soc.
, vol.76
, pp. 92-111
-
-
Young, D.M.1
-
210
-
-
0040983080
-
Isoparametric and associate finite element families for two-and three-dimensional analysis
-
Technical University of Norway, Trondheim
-
O. Zienkiewicz et al., Isoparametric and associate finite element families for two-and three-dimensional analysis, In: Finite Element Methods in Stress Analysis, TAPIR, Technical University of Norway, Trondheim, 1970.
-
(1970)
Finite Element Methods in Stress Analysis, TAPIR
-
-
Zienkiewicz, O.1
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