-
1
-
-
0013668791
-
Finite element method for domains with corners
-
MR 45:2934
-
I. Babuška, Finite element method for domains with corners, Computing 6 (1970), 264-273. MR 45:2934
-
(1970)
Computing
, vol.6
, pp. 264-273
-
-
Babuška, I.1
-
2
-
-
0000640678
-
Direct and inverse error estimates for finite elements with mesh refinements
-
MR 81c:65054
-
I. Babuška, R.B. Kellogg and J. Pitkäranta, Direct and inverse error estimates for finite elements with mesh refinements, Numer. Math. 33 (1979), 447-471. MR 81c:65054
-
(1979)
Numer. Math.
, vol.33
, pp. 447-471
-
-
Babuška, I.1
Kellogg, R.B.2
Pitkäranta, J.3
-
3
-
-
0021440959
-
The post-processing approach in the finite element method - Part 2: The calculation of stress intensity factors
-
I. Babuška and A. Miller, The post-processing approach in the finite element method - part 2: The calculation of stress intensity factors, Int. J. Numer. Methods Engrg. 20 (1984), 1111-1129.
-
(1984)
Int. J. Numer. Methods Engrg.
, vol.20
, pp. 1111-1129
-
-
Babuška, I.1
Miller, A.2
-
4
-
-
0022107998
-
Sharp estimates for multigrid rates of convergence with general smoothing and acceleration
-
MR 87j:65037
-
R.E. Bank and C.C. Douglas, Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SIAM J. Numer. Anal. 22 (1985), 617-633. MR 87j:65037
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 617-633
-
-
Bank, R.E.1
Douglas, C.C.2
-
5
-
-
84966225317
-
An optimal order process for solving finite element equations
-
MR 82b:65113
-
R.E. Bank and T.F. Dupont, An optimal order process for solving finite element equations, Math. Comp. 36 (1981), 35-51. MR 82b:65113
-
(1981)
Math. Comp.
, vol.36
, pp. 35-51
-
-
Bank, R.E.1
Dupont, T.F.2
-
6
-
-
0005144266
-
On the square summability of the highest derivatives of the solution of the Dirichlet problem in a domain with piecewise smooth boundary
-
in Russian. MR 26:2731
-
M.Š. Birman and G.E. Skvorcov, On the square summability of the highest derivatives of the solution of the Dirichlet problem in a domain with piecewise smooth boundary, Izv. Vyssh. Uchebn. Zaved. Mat. (1962), no. 5, 12-21 (in Russian). MR 26:2731
-
(1962)
Izv. Vyssh. Uchebn. Zaved. Mat.
, Issue.5
, pp. 12-21
-
-
Birman, M.Š.1
Skvorcov, G.E.2
-
7
-
-
0019928319
-
On finite element methods for elliptic equations on domains with corners
-
MR 83a:65108
-
H. Blum and M. Dobrowolski, On finite element methods for elliptic equations on domains with corners, Computing 28 (1982), 53-63. MR 83a:65108
-
(1982)
Computing
, vol.28
, pp. 53-63
-
-
Blum, H.1
Dobrowolski, M.2
-
8
-
-
0026820418
-
Coefficients of the singularities for elliptic boundary value problems on domains with conical points III. Finite element methods on polygonal domains
-
MR 93a:65146
-
M. Bourlard, M. Dauge, M.-S. Lubuma and S. Nicaise, Coefficients of the singularities for elliptic boundary value problems on domains with conical points III. Finite element methods on polygonal domains, SIAM Numer. Anal. 29 (1992), 136-155. MR 93a:65146
-
(1992)
SIAM Numer. Anal.
, vol.29
, pp. 136-155
-
-
Bourlard, M.1
Dauge, M.2
Lubuma, M.-S.3
Nicaise, S.4
-
9
-
-
0000671861
-
A new convergence proof for the multigrid method including the V-cycle
-
MR 85h:65233
-
D. Braess and W. Hackbusch, A new convergence proof for the multigrid method including the V-cycle, SIAM J. Numer. Anal. 20 (1983), 967-975. MR 85h:65233
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 967-975
-
-
Braess, D.1
Hackbusch, W.2
-
10
-
-
0004219794
-
-
Longman Scientific & Technical, Essex, MR 95b:65002
-
J.H. Bramble, Multigrid Methods, Longman Scientific & Technical, Essex, 1993. MR 95b:65002
-
(1993)
Multigrid Methods
-
-
Bramble, J.H.1
-
11
-
-
0014749272
-
Estimation of linear functional on Sobolev spaces with applications to Fourier transforms and spline interpolation
-
MR 41:7819
-
J.H. Bramble and S.R. Hilbert, Estimation of linear functional on Sobolev spaces with applications to Fourier transforms and spline interpolation, SIAM J. Numer. Anal. 7 (1970), 113-124. MR 41:7819
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 113-124
-
-
Bramble, J.H.1
Hilbert, S.R.2
-
12
-
-
84968476488
-
The analysis of smoothers for multigrid, algorithms
-
MR 92f:65146
-
J.H. Bramble and J.E. Pasciak, The analysis of smoothers for multigrid, algorithms, Math. Comp. 58 (1992), 467-488. MR 92f:65146
-
(1992)
Math. Comp.
, vol.58
, pp. 467-488
-
-
Bramble, J.H.1
Pasciak, J.E.2
-
13
-
-
84968468806
-
New estimates for multilevel algorithms including the V-cycle
-
MR 94a:65064
-
_, New estimates for multilevel algorithms including the V-cycle, Math. Comp. 60 (1993), 447-471. MR 94a:65064
-
(1993)
Math. Comp.
, vol.60
, pp. 447-471
-
-
-
14
-
-
0003320687
-
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity
-
Domain Decomposition Methods in Science and Engineering (Como, 1992), Amer. Math. Soc., Providence, RI, MR 95f:65202
-
_, Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity, Domain Decomposition Methods in Science and Engineering (Como, 1992), Contemp. Math., vol. 157, Amer. Math. Soc., Providence, RI, 1994, pp. 17-26. MR 95f:65202
-
(1994)
Contemp. Math.
, vol.157
, pp. 17-26
-
-
-
15
-
-
0006475848
-
Overcoming corner singularities by multigrid methods
-
to appear
-
S.C. Brenner, Overcoming corner singularities by multigrid methods, SIAM J. Numer. Anal (to appear).
-
SIAM J. Numer. Anal
-
-
Brenner, S.C.1
-
17
-
-
0009934735
-
Multigrid methods for the computation of singular solutions and stress intensity factors II: Crack singularities
-
CMP 98:05
-
S.C. Brenner and L.-Y. Sung, Multigrid methods for the computation of singular solutions and stress intensity factors II: crack singularities, BIT 37 (1997), 623-643. CMP 98:05
-
(1997)
BIT
, vol.37
, pp. 623-643
-
-
Brenner, S.C.1
Sung, L.-Y.2
-
18
-
-
0039636929
-
Optimal points of the stresses for triangular linear elements
-
in Chinese. MR 83d:65279
-
C. Chen, Optimal points of the stresses for triangular linear elements, Numer. Math. J. Chinese Univ. 2 (1980), 12-20 (in Chinese). MR 83d:65279
-
(1980)
Numer. Math. J. Chinese Univ.
, vol.2
, pp. 12-20
-
-
Chen, C.1
-
20
-
-
0003560721
-
-
North Holland, Amsterdam, New York, Oxford, MR 58:25001
-
P.-G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, Amsterdam, New York, Oxford, 1978. MR 58:25001
-
(1978)
The Finite Element Method for Elliptic Problems
-
-
Ciarlet, P.-G.1
-
21
-
-
0016541865
-
Approximation by finite element functions using local regularization
-
MR 53:4569
-
P. Clément, Approximation by finite element functions using local regularization, R.A.I.R.O. R-2 (1975), 77-84. MR 53:4569
-
(1975)
R.A.I.R.O.
, vol.R-2
, pp. 77-84
-
-
Clément, P.1
-
22
-
-
0002534607
-
Computation of corner singularities in linear elasticity
-
Boundary Value Problems and Integral equations in Nonsmooth Domains (M. Costabel and M. Dauge, eds.), Marcel Dekker, New York, MR 95i:65150
-
M. Costabel and M. Dauge, Computation of corner singularities in linear elasticity, Boundary Value Problems and Integral equations in Nonsmooth Domains (M. Costabel and M. Dauge, eds.), Lecture Notes in Pure and Appl. Math., 167, Marcel Dekker, New York, 1995, pp. 59-68. MR 95i:65150
-
(1995)
Lecture Notes in Pure and Appl. Math.
, vol.167
, pp. 59-68
-
-
Costabel, M.1
Dauge, M.2
-
23
-
-
0003074690
-
Elliptic boundary value problems on corner domains
-
Springer-Verlag, Berlin-Heidelberg, MR 91a:35078
-
M. Dauge, Elliptic Boundary Value Problems on Corner Domains, Lecture Notes in Mathematics 1341, Springer-Verlag, Berlin-Heidelberg, 1988. MR 91a:35078
-
(1988)
Lecture Notes in Mathematics
, vol.1341
-
-
Dauge, M.1
-
24
-
-
0040228830
-
Coefficient des singularitiés pour le problème de dirichlet sur un polygone
-
MR 88f:35038
-
M. Dauge, M.-S. Lubuma and S. Nicaise, Coefficient des singularitiés pour le problème de Dirichlet sur un polygone, C. R. Acad. Sci. Paris Sér. I Math. 304 (1987), 483-486. MR 88f:35038
-
(1987)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.304
, pp. 483-486
-
-
Dauge, M.1
Lubuma, M.-S.2
Nicaise, S.3
-
26
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MR 90d:65055
-
G.H. Golub and C.F. Van Loan, Matrix Computations, Second Edition, The Johns Hopkins University Press, Baltimore, 1989. MR 90d:65055
-
(1989)
Matrix Computations, Second Edition
-
-
Golub, G.H.1
Van Loan, C.F.2
-
28
-
-
0002179866
-
Problèmes aux limites dans les polygones, mode d'emploi
-
MR 87g:35073
-
_, Problèmes aux limites dans les polygones, Mode d'emploi, EDF Bull. Direction Études Rech. Sér. C. Math. Inform. 1 (1986), 21-59. MR 87g:35073
-
(1986)
EDF Bull. Direction Études Rech. Sér. C. Math. Inform.
, vol.1
, pp. 21-59
-
-
-
29
-
-
0000658992
-
Singularités en elasticité
-
MR 90j:35170
-
_, Singularités en elasticité, Arch. Rat. Mech. Anal. 107 (1989), 157-180. MR 90j:35170
-
(1989)
Arch. Rat. Mech. Anal.
, vol.107
, pp. 157-180
-
-
-
32
-
-
0000309125
-
Boundary value problems for elliptic equations in domains with conical or angular points
-
MR 37:1777
-
V. Kondratiev, Boundary value problems for elliptic equations in domains with conical or angular points, Tran. Moscow Math. Soc. 16 (1967), 227-313. MR 37:1777
-
(1967)
Tran. Moscow Math. Soc.
, vol.16
, pp. 227-313
-
-
Kondratiev, V.1
-
34
-
-
0041971704
-
Superconvergent recovery of the gradient from piecewise linear finite-element approximations
-
MR 87b:65206
-
N. Levine, Superconvergent recovery of the gradient from piecewise linear finite-element approximations, IMA J. Numer. Anal. 5 (1985), 407-427. MR 87b:65206
-
(1985)
IMA J. Numer. Anal.
, vol.5
, pp. 407-427
-
-
Levine, N.1
-
36
-
-
0000955614
-
Variational multigrid theory
-
Multigrid Methods (S. McCormick, ed.), SIAM, Philadelphia, MR 39m:65004
-
J. Mandel, S. McCormick and R. Bank, Variational multigrid theory, Multigrid Methods (S. McCormick, ed.), Frontiers In Applied Mathematics 3, SIAM, Philadelphia, 1987, pp. 131-177. MR 39m:65004
-
(1987)
Frontiers in Applied Mathematics
, vol.3
, pp. 131-177
-
-
Mandel, J.1
McCormick, S.2
Bank, R.3
-
37
-
-
0021417959
-
Multigrid methods for variational problems: Further results
-
MR 85h:65115
-
S.F. McCormick, Multigrid methods for variational problems: further results, SIAM J. Numer. Anal. 21 (1984), 255-263. MR 85h:65115
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 255-263
-
-
McCormick, S.F.1
-
38
-
-
0040228879
-
Extrapolation acceleration and mg methods for calculating stress intensity factors on re-entrant domains
-
in Chinese. MR 91e:73115
-
M. Mu and H. Huang, Extrapolation acceleration and mg methods for calculating stress intensity factors on re-entrant domains, Math. Numer. Sinica 12 (1990), 54-60 (in Chinese). MR 91e:73115
-
(1990)
Math. Numer. Sinica
, vol.12
, pp. 54-60
-
-
Mu, M.1
Huang, H.2
-
39
-
-
0003331317
-
Elliptic problems in domains with piecewise smooth boundaries
-
de Gruyter, Berlin, New York, MR 95h:35001
-
S.A. Nazarov and B.A. Plamenevsky, Elliptic Problems in Domains with Piecewise Smooth Boundaries, Expositions in Mathematics, vol. 13, de Gruyter, Berlin, New York, 1994. MR 95h:35001
-
(1994)
Expositions in Mathematics
, vol.13
-
-
Nazarov, S.A.1
Plamenevsky, B.A.2
-
40
-
-
84966206568
-
Interior estimates for Ritz-Galerkin methods
-
MR 51:9525
-
J.A. Nitsche and A.H. Schatz, Interior estimates for Ritz-Galerkin methods, Math. Comp. 28 (1974), 937-958. MR 51:9525
-
(1974)
Math. Comp.
, vol.28
, pp. 937-958
-
-
Nitsche, J.A.1
Schatz, A.H.2
-
41
-
-
0001693788
-
An investigation of the rate of convergence of variational-difference schemes for second order elliptic equations in a two-dimensional region with smooth boundary
-
L.A. Oganesjan and L.A. Ruhovec, An investigation of the rate of convergence of variational-difference schemes for second order elliptic equations in a two-dimensional region with smooth boundary, Ž. Vyčisl. Mat. i. Mat. Fiz. 9 (1969), 1102-1120; English transl. in USSR Comput. Math. and Math. Phys. 9 (1969). MR 45:4665
-
(1969)
Ž. Vyčisl. Mat. I. Mat. Fiz.
, vol.9
, pp. 1102-1120
-
-
Oganesjan, L.A.1
Ruhovec, L.A.2
-
42
-
-
0039044883
-
-
MR 45:4665
-
L.A. Oganesjan and L.A. Ruhovec, An investigation of the rate of convergence of variational-difference schemes for second order elliptic equations in a two-dimensional region with smooth boundary, Ž. Vyčisl. Mat. i. Mat. Fiz. 9 (1969), 1102-1120; English transl. in USSR Comput. Math. and Math. Phys. 9 (1969). MR 45:4665
-
(1969)
USSR Comput. Math. and Math. Phys.
, vol.9
-
-
-
44
-
-
0029289419
-
A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity
-
MR 96a:73016
-
P. J. Papadakis and I. Babuška, A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity, Comput. Methods Appl. Mech. Engrg. 122 (1995), 69-92. MR 96a:73016
-
(1995)
Comput. Methods Appl. Mech. Engrg.
, vol.122
, pp. 69-92
-
-
Papadakis, P.J.1
Babuška, I.2
-
45
-
-
84968491183
-
Some optimal error estimates for piecewise linear finite element approximations
-
MR 83e:65180
-
R. Rannacher and R. Scott, Some optimal error estimates for piecewise linear finite element approximations, Math. Comp. 38 (1982), 437-445. MR 83e:65180
-
(1982)
Math. Comp.
, vol.38
, pp. 437-445
-
-
Rannacher, R.1
Scott, R.2
-
46
-
-
0003331891
-
Mathematical and computational techniques for multilevel adaptive methods
-
SIAM, Philadelphia, MR 95b:65149
-
U. Rüde, Mathematical and Computational Techniques for Multilevel Adaptive Methods, Frontiers in Applied Mathematics 13, SIAM, Philadelphia, 1993. MR 95b:65149
-
(1993)
Frontiers in Applied Mathematics
, vol.13
-
-
Rüde, U.1
-
47
-
-
0039636973
-
An analysis of the finite element method for second order elliptic boundary value problems
-
DMV Seminar Band 15, Birkhäuser, Basel, MR 92f:65004
-
A.H. Schatz, An analysis of the finite element method for second order elliptic boundary value problems, Mathematical Theory of Finite and Boundary Element Methods, DMV Seminar Band 15, Birkhäuser, Basel, 1990, pp. 9-133. MR 92f:65004
-
(1990)
Mathematical Theory of Finite and Boundary Element Methods
, pp. 9-133
-
-
Schatz, A.H.1
-
48
-
-
84966250424
-
∞ estimates for the finite element method on irregular meshes
-
MR 55:9560
-
∞ estimates for the finite element method on irregular meshes, Math. Comp. 30 (1976), 681-697. MR 55:9560
-
(1976)
Math. Comp.
, vol.30
, pp. 681-697
-
-
Scott, R.1
-
49
-
-
84966200902
-
Finite element interpolation of non-smooth functions satisfying boundary conditions
-
MR 95j:65021
-
L.R. Scott and S. Zhang, Finite element interpolation of non-smooth functions satisfying boundary conditions, Math. Comp. 54 (1990), 483-493. MR 95j:65021
-
(1990)
Math. Comp.
, vol.54
, pp. 483-493
-
-
Scott, L.R.1
Zhang, S.2
-
50
-
-
85167420808
-
Computation of the amplitude of stress singular terms for cracks and reentrant corners
-
ASTM STP 969 (T.A. Cruse, ed.), American Society for Testing and Materials, Philadelphia
-
B.A. Szabó and I. Babuška, Computation of the amplitude of stress singular terms for cracks and reentrant corners, Fracture Mechanics: Nineteenth Symposium, ASTM STP 969 (T.A. Cruse, ed.), American Society for Testing and Materials, Philadelphia, 1988, pp. 101-124.
-
(1988)
Fracture Mechanics: Nineteenth Symposium
, pp. 101-124
-
-
Szabó, B.A.1
Babuška, I.2
-
51
-
-
0003882441
-
-
North-Holland, Amsterdam, MR 80i:46032
-
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978. MR 80i:46032
-
(1978)
Interpolation Theory, Function Spaces, Differential Operators
-
-
Triebel, H.1
-
52
-
-
0013668797
-
On the determination of higher order terms of singular elastic stress fields near corners
-
MR 89h:65193
-
D. Vasilopoulos, On the determination of higher order terms of singular elastic stress fields near corners, Numer. Math. 53 (1988), 51-95. MR 89h:65193
-
(1988)
Numer. Math.
, vol.53
, pp. 51-95
-
-
Vasilopoulos, D.1
-
53
-
-
0002910639
-
1 projections into finite element spaces: Influence of a reentrant corner
-
MR 86b:65129
-
1 projections into finite element spaces: Influence of a reentrant corner, Math. Comp. 42 (1984), 1-8. MR 86b:65129
-
(1984)
Math. Comp.
, vol.42
, pp. 1-8
-
-
Wahlbin, L.B.1
-
54
-
-
70350504045
-
Local behavior in finite element methods
-
P.G. Ciarlet and J.L. Lions, eds., Finite Element Methods (Part 1), North-Holland, Amsterdam, MR 92f:65001
-
_, Local behavior in finite element methods, Handbook of Numerical Analysis, Vol.II (P.G. Ciarlet and J.L. Lions, eds.), Finite Element Methods (Part 1), North-Holland, Amsterdam, 1991, pp. 355-522. MR 92f:65001
-
(1991)
Handbook of Numerical Analysis
, vol.2
, pp. 355-522
-
-
-
55
-
-
0003923569
-
Superconvergence in Galerkin finite element methods
-
Springer-Verlag, Berlin, CMP 97:09
-
_, Superconvergence in Galerkin Finite Element Methods, Lecture Notes in Mathematics 1605, Springer-Verlag, Berlin, 1995. CMP 97:09
-
(1995)
Lecture Notes in Mathematics
, vol.1605
-
-
-
56
-
-
0040823572
-
-
D.Sc. Dissertation, Sever Institute of Technology, Washington University, St. Louis
-
Z. Yosibash, Numerical Analysis of Singularities and First Derivatives for Elliptic Boundary Value Problems in Two Dimensions, D.Sc. Dissertation, Sever Institute of Technology, Washington University, St. Louis, 1994.
-
(1994)
Numerical Analysis of Singularities and First Derivatives for Elliptic Boundary Value Problems in Two Dimensions
-
-
Yosibash, Z.1
-
57
-
-
0000769306
-
Numerical analysis of singularities in two dimensions, part 1: Computation of eigenpairs
-
MR 96d:73075
-
Z. Yosibash and B.A. Szabó, Numerical analysis of singularities in two dimensions, Part 1: Computation of eigenpairs, Int. J. Numer. Methods Engrg. 38 (1996), 2055-2082. MR 96d:73075
-
(1996)
Int. J. Numer. Methods Engrg.
, vol.38
, pp. 2055-2082
-
-
Yosibash, Z.1
Szabó, B.A.2
-
58
-
-
84966252412
-
The convergence of multi-level methods for solving finite-element equations in the presence of singularities
-
MR 88d:65149
-
H. Yserentant, The convergence of multi-level methods for solving finite-element equations in the presence of singularities, Math. Comp. 47 (1986), 399-409. MR 88d:65149
-
(1986)
Math. Comp.
, vol.47
, pp. 399-409
-
-
Yserentant, H.1
-
59
-
-
84966240318
-
Optimal-order nonnested multigrid methods for solving finite element equations I: On quasi-uniform meshes
-
MR 91g:65268
-
S. Zhang, Optimal-order nonnested multigrid methods for solving finite element equations I: On quasi-uniform meshes, Math. Comp. 55 (1990), 23-36. MR 91g:65268
-
(1990)
Math. Comp.
, vol.55
, pp. 23-36
-
-
Zhang, S.1
-
60
-
-
84966235835
-
Optimal-order nonnested multigrid methods for solving finite element equations II: On non-quasi-uniform meshes
-
MR 91g:65269
-
_, Optimal-order nonnested multigrid methods for solving finite element equations II: On non-quasi-uniform meshes, Math. Comp. 55 (1990), 439-450. MR 91g:65269
-
(1990)
Math. Comp.
, vol.55
, pp. 439-450
-
-
-
61
-
-
84968497596
-
Optimal-order nonnested multigrid methods for solving finite element equations III: On degenerate meshes
-
MR 95c:65194
-
_, Optimal-order nonnested multigrid methods for solving finite element equations III: On degenerate meshes, Math. Comp. 64 (1995), 23-49. MR 95c:65194
-
(1995)
Math. Comp.
, vol.64
, pp. 23-49
-
-
-
62
-
-
0003453211
-
-
Hunan Science and Technology Publishing House, Changsha, in Chinese. MR 93j:65191
-
Q.D. Zhu and Q. Lin, The Superconvergence Theory of Finite Elements, Hunan Science and Technology Publishing House, Changsha, 1989 (in Chinese). MR 93j:65191
-
(1989)
The Superconvergence Theory of Finite Elements
-
-
Zhu, Q.D.1
Lin, Q.2
|