-
1
-
-
0003796630
-
-
Academic Press, New York
-
R.A. Adams, Sobolev Spaces (Academic Press, New York, 1975).
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
0042255750
-
A unified approach to a posteriori error estimation using element residual methods
-
M. Ainsworth and J.T. Oden, A unified approach to a posteriori error estimation using element residual methods, Numer. Math. 65 (1993) 23-50.
-
(1993)
Numer. Math.
, vol.65
, pp. 23-50
-
-
Ainsworth, M.1
Oden, J.T.2
-
3
-
-
0022661397
-
A mesh-independence principle for operator equations and their discretizations
-
E. Allgower, K. Böhmer, F. Portra and W. Rheinboldt, A mesh-independence principle for operator equations and their discretizations, SIAM J. Numer. Anal. 23 (1986) 160-169.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 160-169
-
-
Allgower, E.1
Böhmer, K.2
Portra, F.3
Rheinboldt, W.4
-
4
-
-
0000143855
-
A two-level discretization of nonlinear boundary value problems
-
O. Axelsson and W. Layton, A two-level discretization of nonlinear boundary value problems, SIAM J. Numer. Anal. 33 (1996) 2359-2374.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 2359-2374
-
-
Axelsson, O.1
Layton, W.2
-
5
-
-
0026909316
-
Analysis of the efficiency of an posteriori error estimator for linear triangular finite elements
-
I. Babuska, R. Duran and R. Rodriguez, Analysis of the efficiency of an posteriori error estimator for linear triangular finite elements, SIAM J. Numer. Anal. 29 (1992) 947-946.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 947-1946
-
-
Babuska, I.1
Duran, R.2
Rodriguez, R.3
-
6
-
-
0000613724
-
Error estimates for adaptive finite element computations
-
I. Babuska and C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal. 15 (1978) 736-754.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 736-754
-
-
Babuska, I.1
Rheinboldt, C.2
-
7
-
-
0003873529
-
-
Wiley, New York
-
I. Babuska, O.C. Zienkiewicz, J. Gago and E.R. de A. Oliveira, Accuracy Estimates and Adaptive Refinements in Finite Element Computations (Wiley, New York, 1986).
-
(1986)
Accuracy Estimates and Adaptive Refinements in Finite Element Computations
-
-
Babuska, I.1
Zienkiewicz, O.C.2
Gago, J.3
De A. Oliveira, E.R.4
-
8
-
-
0031357945
-
A posteriori estimation of the error in the recovered derivatives of the finite element solution
-
I. Babuska, T. Strouboulis and S.K. Gangaraj, A posteriori estimation of the error in the recovered derivatives of the finite element solution, Comput. Methods Appl. Mech. Engrg. 150 (1997) 369-396.
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.150
, pp. 369-396
-
-
Babuska, I.1
Strouboulis, T.2
Gangaraj, S.K.3
-
9
-
-
0030871492
-
Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives
-
I. Babuska, T. Strouboulis, S.K. Gangaraj and C.S. Upadhyay, Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives, Comput. Methods Appl. Mech. Engrg. 140 (1997) 1-37.
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.140
, pp. 1-37
-
-
Babuska, I.1
Strouboulis, T.2
Gangaraj, S.K.3
Upadhyay, C.S.4
-
10
-
-
0028407162
-
A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles
-
I. Babuska, T. Strouboulis and C.S. Upadhyay, A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles, Comput. Methods Appl. Mech. Engrg. 114 (1994) 307-378.
-
(1994)
Comput. Methods Appl. Mech. Engrg.
, vol.114
, pp. 307-378
-
-
Babuska, I.1
Strouboulis, T.2
Upadhyay, C.S.3
-
11
-
-
84966225538
-
Analysis of a multilevel iterative methods for nonlinear finite element equations
-
R.E. Bank, Analysis of a multilevel iterative methods for nonlinear finite element equations, Math. Comp. 39 (1982) 453-465.
-
(1982)
Math. Comp.
, vol.39
, pp. 453-465
-
-
Bank, R.E.1
-
12
-
-
85022608074
-
Hierarchical bases and the finite element method
-
R.E. Bank, Hierarchical bases and the finite element method, Acta Numerica 5 (1996) 1-43.
-
(1996)
Acta Numerica
, vol.5
, pp. 1-43
-
-
Bank, R.E.1
-
13
-
-
0031625638
-
A simple analysis of some a posteriori error estimates
-
R.E. Bank, A simple analysis of some a posteriori error estimates, Appl. Numer. Math. 26 (1998) 153-164.
-
(1998)
Appl. Numer. Math.
, vol.26
, pp. 153-164
-
-
Bank, R.E.1
-
15
-
-
0027642848
-
A posteriori error estimates based on hierarchical bases
-
R.E. Bank and R.K. Smith, A posteriori error estimates based on hierarchical bases, SIAM J. Numer. Anal. 30 (1993) 921-935.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 921-935
-
-
Bank, R.E.1
Smith, R.K.2
-
16
-
-
0001309061
-
Mesh smoothing using a posteriori error estimates
-
R.E. Bank and R.K. Smith, Mesh smoothing using a posteriori error estimates, SIAM J. Numer. Anal. 34 (1997) 979-997.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 979-997
-
-
Bank, R.E.1
Smith, R.K.2
-
17
-
-
84966215690
-
Some a posteriori error estimates for elliptic partial differential equations
-
R.E. Bank and A. Weiser, Some a posteriori error estimates 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
-
18
-
-
0040846996
-
A two-grid method for solving elliptic problems with inhomogeneous boundary conditions
-
D.M. Bedivan, A two-grid method for solving elliptic problems with inhomogeneous boundary conditions, Comput. Math. Appl. 29 (1995) 59-66.
-
(1995)
Comput. Math. Appl.
, vol.29
, pp. 59-66
-
-
Bedivan, D.M.1
-
19
-
-
0002280148
-
Asymptotic error expansion and Richardson extrapolation for linear finite elements
-
H. Blum, Q. Lin and R. Rannacher, Asymptotic error expansion and Richardson extrapolation for linear finite elements, Numer. Math. 49 (1986) 11-38.
-
(1986)
Numer. Math.
, vol.49
, pp. 11-38
-
-
Blum, H.1
Lin, Q.2
Rannacher, R.3
-
20
-
-
0001701058
-
A posteriori error estimates for elliptic problems in two and three space dimensions
-
F.A. Bornemann, B. Erdmann and R. Kornhuber, A posteriori error estimates for elliptic problems in two and three space dimensions, SIAM J. Numer. Anal. 33 (1996) 1188-1204.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1188-1204
-
-
Bornemann, F.A.1
Erdmann, B.2
Kornhuber, R.3
-
21
-
-
0003320310
-
Multigrid Methods
-
London; Co-published in the USA with Wiley, New York
-
J.H. Bramble, Multigrid Methods, Pitman Research Notes in Mathematics, Vol. 294 (London; Co-published in the USA with Wiley, New York, 1993).
-
(1993)
Pitman Research Notes in Mathematics
, vol.294
-
-
Bramble, J.H.1
-
22
-
-
0012058633
-
Domain decomposition methods for problems with partial refinement
-
J.H. Bramble, R.E. Ewing, R.R. Parashkevov and J.E. Pasciak, Domain decomposition methods for problems with partial refinement, SIAM J. Sci. Statist. Comput. 13 (1992) 397-410.
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, pp. 397-410
-
-
Bramble, J.H.1
Ewing, R.E.2
Parashkevov, R.R.3
Pasciak, J.E.4
-
23
-
-
0023984323
-
A preconditioning technique for the efficient solution of problems with local grid refinement
-
J.H. Bramble, R.E. Ewing, J.E. Pasciak and A.H. Schatz, A preconditioning technique for the efficient solution of problems with local grid refinement, Comput. Methods Appl. Mech. Engrg. 67 (1988) 149-159.
-
(1988)
Comput. Methods Appl. Mech. Engrg.
, vol.67
, pp. 149-159
-
-
Bramble, J.H.1
Ewing, R.E.2
Pasciak, J.E.3
Schatz, A.H.4
-
24
-
-
84966233568
-
Multilevel adaptive solutions to boundary-value problems
-
A. Brandt, Multilevel adaptive solutions to boundary-value problems, Math. Comp. 31 (1977) 333-390.
-
(1977)
Math. Comp.
, vol.31
, pp. 333-390
-
-
Brandt, A.1
-
25
-
-
84974325009
-
Domain decomposition algorithms
-
T. Chan and T. Mathew, Domain decomposition algorithms, Acta Numerica 3 (1994) 61-143.
-
(1994)
Acta Numerica
, vol.3
, pp. 61-143
-
-
Chan, T.1
Mathew, T.2
-
26
-
-
0347455576
-
-
North-Holland, Amsterdam
-
P.G. Ciarlet and J.L. Lions, Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I) (North-Holland, Amsterdam, 1991).
-
(1991)
Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I)
, vol.2
-
-
Ciarlet, P.G.1
Lions, J.L.2
-
27
-
-
0038673842
-
Two-grid methods for mixed finite element approximations of nonlinear parabolic equations
-
C.N. Dawson and M.F. Wheeler, Two-grid methods for mixed finite element approximations of nonlinear parabolic equations, Contemp. Math. 180 (1994) 191-203.
-
(1994)
Contemp. Math.
, vol.180
, pp. 191-203
-
-
Dawson, C.N.1
Wheeler, M.F.2
-
28
-
-
0001430079
-
A two-grid finite difference scheme for nonlinear parabolic equations
-
C.N. Dawson, M.F. Wheeler and C.S. Woodward, A two-grid finite difference scheme for nonlinear parabolic equations, SIAM J. Numer. Anal. 35 (1998) 435-452.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 435-452
-
-
Dawson, C.N.1
Wheeler, M.F.2
Woodward, C.S.3
-
29
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Introduction to adaptive methods for differential equations, Acta Numerica (1995) 105-158.
-
(1995)
Acta Numerica
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
30
-
-
0004094896
-
-
Cambridge Univ. Press, Cambridge
-
K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Computational Differential Equations (Cambridge Univ. Press, Cambridge, 1996).
-
(1996)
Computational Differential Equations
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
31
-
-
0026106415
-
Adaptive finite element methods for parabolic problems I: A linear model problem
-
K. Eriksson and 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
-
32
-
-
84904150653
-
Adaptive finite element methods for parabolic problems IV: Nonlinear problems
-
K. Eriksson and C. Johnson, Adaptive finite element methods for parabolic problems IV: Nonlinear problems, SIAM J. Numer. Anal. 32 (1991) 1729-1749.
-
(1991)
SIAM J. Numer. Anal.
, vol.32
, pp. 1729-1749
-
-
Eriksson, K.1
Johnson, C.2
-
35
-
-
0025488567
-
Adaptive finite element methods for diffusion and convection problems
-
C. Johnson, Adaptive finite element methods for diffusion and convection problems, Comput. Methods Appl. Mech. Engrg. 82 (1990) 301-322.
-
(1990)
Comput. Methods Appl. Mech. Engrg.
, vol.82
, pp. 301-322
-
-
Johnson, C.1
-
36
-
-
0001121516
-
Two-level Picard and modified Picard methods for the Navier-Stokes equations
-
W. Layton and W. Lenferink, Two-level Picard and modified Picard methods for the Navier-Stokes equations, Appl. Math. Comput. 69 (1995) 263-274.
-
(1995)
Appl. Math. Comput.
, vol.69
, pp. 263-274
-
-
Layton, W.1
Lenferink, W.2
-
37
-
-
0039552414
-
Some problems concerning approximate solutions of operator equations
-
in Chinese
-
Q. Lin, Some problems concerning approximate solutions of operator equations, Acta Math. Sinica 22 (1979) 219-230 (in Chinese).
-
(1979)
Acta Math. Sinica
, vol.22
, pp. 219-230
-
-
Lin, Q.1
-
38
-
-
0000752968
-
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements
-
M. Marion and J. Xu, Error estimates on a new nonlinear Galerkin method based on two-grid finite elements, SIAM J. Numer. Anal. 32 (1995) 1170-1184.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1170-1184
-
-
Marion, M.1
Xu, J.2
-
39
-
-
84966206568
-
Interior estimates for Ritz-Galerkin methods
-
J. Nitsche and A.H. Schatz, Interior estimates for Ritz-Galerkin methods, Math. Comp. 28 (1974) 937-955.
-
(1974)
Math. Comp.
, vol.28
, pp. 937-955
-
-
Nitsche, J.1
Schatz, A.H.2
-
40
-
-
84968465448
-
Pointwise a posteriori error estimates for elliptic problems on highly graded meshes
-
R.H. Nochetto, Pointwise a posteriori error estimates for elliptic problems on highly graded meshes, Math. Comp. 64 (1995) 1-22.
-
(1995)
Math. Comp.
, vol.64
, pp. 1-22
-
-
Nochetto, R.H.1
-
41
-
-
0002307274
-
On the convergence of the Newton-Raphson method for strongly nonlinear finite element equations
-
eds. P. Wriggers and W. Wanger Springer, Berlin
-
R. Rannacher, On the convergence of the Newton-Raphson method for strongly nonlinear finite element equations, in: Nonlinear Computational Mechanics, eds. P. Wriggers and W. Wanger (Springer, Berlin, 1991).
-
(1991)
Nonlinear Computational Mechanics
-
-
Rannacher, R.1
-
42
-
-
84968491183
-
Some optimal error estimate for piecewise linear finite element approximations
-
R. Rannacher and R. Scott, Some optimal error estimate 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
-
43
-
-
0343942874
-
Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems
-
A. Reusken, Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems, Numer. Math. 52 (1988) 251-277.
-
(1988)
Numer. Math.
, vol.52
, pp. 251-277
-
-
Reusken, A.1
-
44
-
-
0040426419
-
Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
-
A.H. Schatz, Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates, Math. Comp. 67 (1998) 877-899.
-
(1998)
Math. Comp.
, vol.67
, pp. 877-899
-
-
Schatz, A.H.1
-
45
-
-
84966241381
-
Interior maximum-norm estimates for finite element methods
-
A.H. Schatz and L.B. Wahlbin, 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
-
46
-
-
84968481060
-
Interior maximum-norm estimates for finite element methods, Part II
-
A.H. Schatz and L.B. Wahlbin, Interior maximum-norm estimates for finite element methods, Part II, Math. Comp. 64 (1995) 907-928.
-
(1995)
Math. Comp.
, vol.64
, pp. 907-928
-
-
Schatz, A.H.1
Wahlbin, L.B.2
-
47
-
-
0030375503
-
Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions
-
A.H. Schatz and J. Wang, Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions, Math. Comp. 65 (1996) 19-27.
-
(1996)
Math. Comp.
, vol.65
, pp. 19-27
-
-
Schatz, A.H.1
Wang, J.2
-
48
-
-
0031205631
-
Two-grid finite element formulations of the incompressible Navier-Stokes equations
-
T. Utnes, Two-grid finite element formulations of the incompressible Navier-Stokes equations, Comm. Numer. Methods Engrg. 34 (1997) 675-684.
-
(1997)
Comm. Numer. Methods Engrg.
, vol.34
, pp. 675-684
-
-
Utnes, T.1
-
49
-
-
84968521915
-
A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations
-
R. Verfürth, A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations, Math. Comp. 62 (1994) 445-475.
-
(1994)
Math. Comp.
, vol.62
, pp. 445-475
-
-
Verfürth, R.1
-
52
-
-
0040114908
-
r -estimates for finite element discretizations of elliptic equations
-
r -estimates for finite element discretizations of elliptic equations, RAIRO Modél Math. Anal. Numér. 32 (1996) 817-842.
-
(1996)
RAIRO Modél Math. Anal. Numér.
, vol.32
, pp. 817-842
-
-
Verfürth, R.1
-
53
-
-
70350504045
-
Local behavior in finite element methods
-
eds. P.G. Ciarlet and J.L. Lions Elsevier, Amsterdam
-
L.B. Wahlbin, Local behavior in finite element methods, in: Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1) eds. P.G. Ciarlet and J.L. Lions (Elsevier, Amsterdam, 1991) pp. 355-522.
-
(1991)
Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1)
, vol.2
, pp. 355-522
-
-
Wahlbin, L.B.1
-
54
-
-
0003271497
-
Superconvergence in Galerkin Finite Element Methods
-
Springer, Berlin
-
L.B. Wahlbin, Superconvergence in Galerkin Finite Element Methods, Lecture Notes in Mathematics, Vol. 1605 (Springer, Berlin, 1995).
-
(1995)
Lecture Notes in Mathematics
, vol.1605
-
-
Wahlbin, L.B.1
-
55
-
-
0026846317
-
A new class of iterative methods for nonselfadjoint or indefinite problems
-
J. Xu, A new class of iterative methods for nonselfadjoint or indefinite problems, SIAM J. Numer. Anal. 29 (1992) 303-319.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 303-319
-
-
Xu, J.1
-
56
-
-
0000570696
-
Iterative methods by space decomposition and subspace correction
-
J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Rev. 34(4) (1992) 581-613.
-
(1992)
SIAM Rev.
, vol.34
, Issue.4
, pp. 581-613
-
-
Xu, J.1
-
57
-
-
0000314168
-
A novel two-grid method for semilinear equations
-
J. Xu, A novel two-grid method for semilinear equations, SIAM J. Sci. Comput. 15 (1994) 231-237.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 231-237
-
-
Xu, J.1
-
58
-
-
0001547745
-
Two-grid discretization techniques for linear and nonlinear PDEs
-
J. Xu, Two-grid discretization techniques for linear and nonlinear PDEs, SIAM J. Numer. Anal. 33 (1996) 1759-1777.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1759-1777
-
-
Xu, J.1
-
59
-
-
0040735802
-
Local and parallel finite element algorithms based on two-grid discretizations
-
J. Xu and A. Zhou, Local and parallel finite element algorithms based on two-grid discretizations, Math. Comp. 69 (2000) 881-909.
-
(2000)
Math. Comp.
, vol.69
, pp. 881-909
-
-
Xu, J.1
Zhou, A.2
-
61
-
-
0035586888
-
A two-grid discretization scheme for eigenvalue problems
-
J. Xu and A. Zhou, A two-grid discretization scheme for eigenvalue problems, Math. Comp. 70 (2001).
-
(2001)
Math. Comp.
, vol.70
-
-
Xu, J.1
Zhou, A.2
-
63
-
-
0032290868
-
Some non-overlapping domain decomposition methods
-
J. Xu and J. Zou, Some non-overlapping domain decomposition methods, SIAM Rev. 40 (1998) 857-914.
-
(1998)
SIAM Rev.
, vol.40
, pp. 857-914
-
-
Xu, J.1
Zou, J.2
-
64
-
-
84971922635
-
Old and new proofs for multigrid algorithms
-
H. Yserentant, Old and new proofs for multigrid algorithms, Acta Numerica 2 (1993) 285-326.
-
(1993)
Acta Numerica
, vol.2
, pp. 285-326
-
-
Yserentant, H.1
-
65
-
-
0032496575
-
Error analysis on bi-parameter finite elements
-
A. Zhou, C.L. Liem, T.M. Shih and T. Lü, Error analysis on bi-parameter finite elements, Comput. Methods Appl. Mech. Engrg. 158 (1998) 329-339.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.158
, pp. 329-339
-
-
Zhou, A.1
Liem, C.L.2
Shih, T.M.3
Lü, T.4
|