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Bramble, James H. (b. 1930 d. 2021)

Author ID: bramble.james-h Recent zbMATH articles by "Bramble, James H."
Published as: Bramble, James H.; Bramble, J. H.; bramble, James H.
Homepage: https://www.math.tamu.edu/~james.bramble/
External Links: MGP · Wikidata · dblp · GND · IdRef
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Serials

48 Mathematics of Computation
11 SIAM Journal on Numerical Analysis
6 Journal of Research of the National Bureau of Standards
4 Journal of Mathematical Analysis and Applications
4 Numerische Mathematik
3 Archive for Rational Mechanics and Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Journal of Mathematics and Physics
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 RAIRO. Analyse Numérique
2 Applied Numerical Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 East-West Journal of Numerical Mathematics
2 Journal of Numerical Mathematics
2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Duke Mathematical Journal
1 Journal of the Association for Computing Machinery
1 Numerical Functional Analysis and Optimization
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 SIAM Journal on Scientific and Statistical Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 SIAM Journal on Scientific Computing
1 Numerical Linear Algebra with Applications
1 International Journal of Numerical Analysis and Modeling
1 Journal of Mathematics and Mechanics
1 Journal of the Society for Industrial & Applied Mathematics
1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Lecture Notes in Mathematics
1 Pitman Research Notes in Mathematics Series
1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 4,376 times in 2,997 Documents Cited by Year
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
227
1997
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
190
1996
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
170
1970
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
165
1986
Multigrid methods. Zbl 0786.65094
Bramble, James H.
163
1993
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
153
1990
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
129
1988
Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064
Bramble, James H.; Schatz, Alfred H.
124
1977
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
98
1971
On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
91
2002
Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057
Bramble, James H.; Xu, Jinchao
91
1991
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
88
1991
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
80
1997
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
77
1991
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
75
1991
Triangular elements in the finite element method. Zbl 0226.65073
Bramble, James H.; Zlámal, Miloš
70
1971
Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064
Bramble, J. H.; Osborn, J. E.
69
1973
New convergence estimates for multigrid algorithms. Zbl 0659.65098
Bramble, James H.; Pasciak, Joseph E.
68
1987
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
66
1986
The analysis of multigrid methods. Zbl 0972.65103
Bramble, James H.; Zhang, Xuejun
66
2000
Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
63
2000
On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type. Zbl 0126.32305
Bramble, J. H.; Hubbard, B. E.
61
1964
New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081
Bramble, James H.; Pasciak, Joseph E.
59
1993
Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084
Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B.
58
1977
On the formulation of finite difference analogues of the Dirichlet problem for Poisson’s equation. Zbl 0135.18102
Bramble, J. H.; Hubbard, B. E.
49
1962
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019
Bramble, James H.; Pasciak, Joseph E.
48
2007
A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104
Bramble, James H.; King, J. Thomas
46
1994
The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
46
1987
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057
Baker, Garth A.; Bramble, James H.
46
1979
Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102
Bramble, James H.; Schatz, Alfred H.
43
1970
The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
43
1989
A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113
Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Schatz, Alfred H.
42
1988
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
42
1990
The analysis of smoothers for multigrid algorithms. Zbl 0771.65082
Bramble, James H.; Pasciak, Joseph E.
41
1992
Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202
Bramble, James H.; Schatz, Alfred H.
41
1971
Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130
Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E.
39
1994
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
39
1997
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
38
2004
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
37
2000
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094
Bramble, James H.; Dupont, Todd; Thomee, Vidar
35
1972
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
34
1996
New monotone type approximations for elliptic problems. Zbl 0124.33006
Bramble, J. H.; Hubbard, B. E.
33
1964
Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055
Bramble, J. H.; Osborn, J. E.
32
1972
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
30
1996
A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184
Bramble, James H.
28
2003
Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026
Bacuta, C.; Bramble, J. H.
27
2003
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
27
1988
Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155
Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar
26
2010
A domain decomposition technique for Stokes problems. Zbl 0691.76031
Bramble, James H.; Pasciak, Joseph E.
26
1990
Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao
26
2003
Single step Galerkin approximations for parabolic problems. Zbl 0378.65061
Baker, Garth A.; Bramble, James H.; Thomee, Vidar
26
1977
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
25
1978
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316
Bramble, James H.; Pasciak, Joseph E.
24
2008
A second order finite difference analog of the first biharmonic boundary value problem. Zbl 0154.41105
Bramble, J. H.
24
1966
The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
24
1988
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150
Bramble, James H.; Pasciak, Joseph E.
22
2013
A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061
Bramble, James H.; Xu, Jinchao
22
1989
Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072
Bramble, James H.; Sammon, Peter H.
21
1980
Convergence estimates for essentially positive tpye discrete Dirichlet problems. Zbl 0217.21902
Bramble, J. H.; Hubbard, B. E.; Thomée, V.
21
1969
A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056
bramble, James H.; Nitsche, Joachim A.
20
1973
The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077
Bramble, James H.
19
1981
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
19
1998
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110
Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar
19
1989
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
18
2005
Some inequalities for vector functions with applications in elasticity. Zbl 0109.16806
Bramble, J. H.; Payne, L. E.
17
1962
Bounds in the Neumann problem for second order uniformly elliptic operators. Zbl 0111.09701
Bramble, J. H.; Payne, L. E.
17
1962
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061
Bramble, James H.; Pasciak, Joseph E.
17
1988
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
2001
The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
16
1994
A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations. Zbl 0196.50901
Bramble, J. H.; Hubbard, B. E.
16
1963
Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023
Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H.
16
1975
Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060
Bramble, James H.; Thomee, Vidar
16
1972
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
16
2003
A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544
Bramble, James H.; Sun, Tong
16
1998
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
16
2012
Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
15
2003
Approximation of solutions of mixed boundary value problems for Poisson’s equation by finite differences. Zbl 0125.07305
Bramble, J. H.; Hubbard, B. E.
14
1965
Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073
Bramble, James H.; Thomee, Vidar
14
1974
Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104
Bramble, James H.; Zhang, Xuejun
13
2001
New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128
Bacuta, C.; Bramble, J. H.; Pasciak, J. E.
13
2001
Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. Zbl 0842.65081
Bramble, James H.; Zhang, Xuejun
12
1995
Bounds for solutions of second-order elliptic partial differential equations. Zbl 0141.09801
Bramble, J. H.; Payne, L. E.
12
1963
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
12
2005
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085
Bramble, James H.; Pasciak, Joseph E.
11
1994
On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063
Bramble, James H.; Lee, Ping
11
1994
Pointwise bounds for discrete Green’s functions. Zbl 0212.17904
Bramble, J. H.; Thomée, V.
11
1969
Estimates for spline projections. Zbl 0343.65045
Bramble, James H.; Schatz, Alfred H.
11
1976
The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082
Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian
10
1996
A finite difference analog of the Neumann problem for Poisson’s equation. Zbl 0141.33201
Bramble, J. H.; Hubbard, B. E.
10
1965
A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). Zbl 1146.35323
Bramble, James H.; Pasciak, Joseph E.
10
2008
A priori bounds in the first boundary value problem in elasticity. Zbl 0104.35102
Bramble, J. H.; Payne, L. E.
10
1961
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
9
2002
Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075
Bramble, J. H.; Pasciak, J. E.
9
1984
Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086
Bramble, James H.
8
1995
Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
8
1998
Domain decomposition methods for problems with partial refinement. Zbl 0746.65084
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E.
8
1992
Error estimates for difference methods in forced vibration problems. Zbl 0146.13804
Bramble, J. H.
8
1966
Approximation of derivatives by finite difference methods in elliptic boundary value problems. Zbl 0142.12003
Bramble, J. H.; Hubbard, B. E.
8
1964
Pointwise bounds in the first biharmonic boundary value problem. Zbl 0168.37003
Bramble, J. H.; Payne, L. E.
8
1964
Discrete analogues of the Dirichlet problem with isolated singularities. Zbl 0176.46902
Bramble, J. H.; Hubbard, B. E.; Zlamal, M.
8
1968
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150
Bramble, James H.; Pasciak, Joseph E.
22
2013
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
16
2012
Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155
Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar
26
2010
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316
Bramble, James H.; Pasciak, Joseph E.
24
2008
A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). Zbl 1146.35323
Bramble, James H.; Pasciak, Joseph E.
10
2008
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019
Bramble, James H.; Pasciak, Joseph E.
48
2007
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
18
2005
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
12
2005
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
38
2004
A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184
Bramble, James H.
28
2003
Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026
Bacuta, C.; Bramble, J. H.
27
2003
Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao
26
2003
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
16
2003
Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
15
2003
Multiscale problems and methods in numerical simulations. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 9–15, 2001. Zbl 1024.00036
2
2003
On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
91
2002
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
9
2002
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
2001
Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104
Bramble, James H.; Zhang, Xuejun
13
2001
New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128
Bacuta, C.; Bramble, J. H.; Pasciak, J. E.
13
2001
The analysis of multigrid methods. Zbl 0972.65103
Bramble, James H.; Zhang, Xuejun
66
2000
Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
63
2000
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
37
2000
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
19
1998
A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544
Bramble, James H.; Sun, Tong
16
1998
Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
8
1998
A locking-free finite element method for Naghdi shells. Zbl 0913.73065
Bramble, James H.; Sun, Tong
8
1998
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
227
1997
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
80
1997
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
39
1997
A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081
Bramble, James H.; King, J. Thomas
190
1996
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
34
1996
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
30
1996
The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082
Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian
10
1996
Two-level preconditioners for \(2m\)’th order elliptic finite element problems. Zbl 0860.65120
Bramble, J. H.; Pasciak, J. E.; Zhang, Xuejun
2
1996
Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. Zbl 0842.65081
Bramble, James H.; Zhang, Xuejun
12
1995
Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086
Bramble, James H.
8
1995
A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104
Bramble, James H.; King, J. Thomas
46
1994
Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130
Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E.
39
1994
The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
16
1994
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085
Bramble, James H.; Pasciak, Joseph E.
11
1994
On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063
Bramble, James H.; Lee, Ping
11
1994
Analysis of V-cycle multigrid algorithms for forms defined by numerical quadrature. Zbl 0802.65121
Bramble, J. H.; Goldstein, C. I.; Pasciak, J. E.
2
1994
Multigrid methods. Zbl 0786.65094
Bramble, James H.
163
1993
New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081
Bramble, James H.; Pasciak, Joseph E.
59
1993
Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. Zbl 0795.65071
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
5
1993
The analysis of smoothers for multigrid algorithms. Zbl 0771.65082
Bramble, James H.; Pasciak, Joseph E.
41
1992
Domain decomposition methods for problems with partial refinement. Zbl 0746.65084
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E.
8
1992
Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057
Bramble, James H.; Xu, Jinchao
91
1991
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
88
1991
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
77
1991
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
75
1991
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
153
1990
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
42
1990
A domain decomposition technique for Stokes problems. Zbl 0691.76031
Bramble, James H.; Pasciak, Joseph E.
26
1990
Parallel multilevel preconditioners. Zbl 0711.65102
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
1
1990
The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
43
1989
A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061
Bramble, James H.; Xu, Jinchao
22
1989
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110
Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar
19
1989
Alternating direction multistep methods for parabolic problems - iterative stabilization. Zbl 0686.65078
Bramble, James H.; Ewing, Richard E.; Li, Gang
6
1989
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
129
1988
A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113
Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Schatz, Alfred H.
42
1988
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
27
1988
The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
24
1988
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061
Bramble, James H.; Pasciak, Joseph E.
17
1988
New convergence estimates for multigrid algorithms. Zbl 0659.65098
Bramble, James H.; Pasciak, Joseph E.
68
1987
The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
46
1987
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
165
1986
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
66
1986
The construction of preconditioners for elliptic problems by substructuring. Zbl 0611.65072
Bramble, J. H.
4
1986
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113
Bramble, James H.; Pasciak, Joseph E.
6
1985
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
4
1985
Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075
Bramble, J. H.; Pasciak, J. E.
9
1984
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
7
1983
The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077
Bramble, James H.
19
1981
Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072
Bramble, James H.; Sammon, Peter H.
21
1980
Multistep methods for quasilinear parabolic equations. Zbl 0428.73083
Bramble, James H.
2
1980
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057
Baker, Garth A.; Bramble, James H.
46
1979
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
25
1978
Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064
Bramble, James H.; Schatz, Alfred H.
124
1977
Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084
Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B.
58
1977
Single step Galerkin approximations for parabolic problems. Zbl 0378.65061
Baker, Garth A.; Bramble, James H.; Thomee, Vidar
26
1977
Estimates for spline projections. Zbl 0343.65045
Bramble, James H.; Schatz, Alfred H.
11
1976
Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023
Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H.
16
1975
A survey of some finite element methods proposed for treating the Dirichlet problem. Zbl 0346.49031
Bramble, James H.
5
1975
Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073
Bramble, James H.; Thomee, Vidar
14
1974
Interior maximum norm estimates for some simple finite element methods. Zbl 0301.65065
Bramble, J. H.; Thomee, V.
5
1974
Higher order local accuracy by averaging in the finite element method. Zbl 0357.65081
Bramble, James H.; Schatz, Alfred H.
2
1974
Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064
Bramble, J. H.; Osborn, J. E.
69
1973
A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056
bramble, James H.; Nitsche, Joachim A.
20
1973
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094
Bramble, James H.; Dupont, Todd; Thomee, Vidar
35
1972
Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055
Bramble, J. H.; Osborn, J. E.
32
1972
Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060
Bramble, James H.; Thomee, Vidar
16
1972
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
98
1971
Triangular elements in the finite element method. Zbl 0226.65073
Bramble, James H.; Zlámal, Miloš
70
1971
Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202
Bramble, James H.; Schatz, Alfred H.
41
1971
On the numerical solution of elliptic boundary value problems by least squares approximation of the data. Zbl 0389.65050
Bramble, James H.; Schatz, Alfred H.
5
1971
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803
Bramble, J. H.; Hilbert, S. R.
170
1970
Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102
Bramble, James H.; Schatz, Alfred H.
43
1970
On the convergence of difference approximations for second order uniformly elliptic operators. Zbl 0234.65086
Bramble, James H.
4
1970
...and 42 more Documents
all top 5

Cited by 3,145 Authors

61 Bramble, James H.
49 Brenner, Susanne Cecelia
39 Pasciak, Joseph E.
35 Xu, Jinchao
34 Sung, Li-Yeng
29 Huang, Yunqing
26 Ryan, Jennifer K.
26 Zhang, Guofeng
25 Ewing, Richard Edward
22 Bacuta, Constantin
22 Ma, Changfeng
20 Lin, Tao
20 Xu, Xuejun
19 Chen, Jinru
19 Cockburn, Bernardo
19 Kwak, Do Young
18 Liang, Zhaozheng
18 Xu, Fei
18 Zhang, Zhimin
17 Duan, Huoyuan
17 Yang, Yidu
17 Zhang, Shangyou
16 He, Xiaoming
16 Lazarov, Raytcho D.
16 Zikatanov, Ludmil T.
15 Axelsson, Axel Owe Holger
15 Gopalakrishnan, Jay
15 Harbrecht, Helmut
15 Wang, Junping
15 Yang, Danping
14 Bertoluzza, Silvia
14 Bi, Hai
14 Bonito, Andrea
14 Xie, Hehu
14 Xie, Xiaoping
13 Burman, Erik
13 Chen, Long
13 Chen, Yanping
13 Ciarlet, Philippe Gaston
13 Kirby, Robert M. II
13 Li, Zhilin
13 Rannacher, Rolf
13 Thomée, Vidar
13 Yang, Suh-Yuh
12 Ainsworth, Mark
12 He, Yinnian
12 Ji, Haifeng
12 Jovanović, Boško S.
12 Mandel, Jan
12 Oswald, Peter
12 Payne, Lawrence Edward
12 Serbin, Steven M.
12 Vassilevski, Panayot Spirov
12 Ye, Xiu
12 Zou, Jun
11 Antonietti, Paola Francesca
11 Cui, Jingjing
11 Dupont, Todd F.
11 Führer, Thomas
11 Griebel, Michael
11 Hu, Qiya
11 Huang, Qiumei
11 Huang, Zhengge
11 Knops, Robin J.
11 Li, Zi-Cai
11 Mardal, Kent-Andre
11 Melenk, Jens Markus
11 Stephan, Ernst Peter
11 Stevenson, Rob P.
11 Wang, Ligong
11 Xu, Zhong
11 Yi, Nianyu
10 Brezzi, Franco
10 Canuto, Claudio
10 Dahmen, Wolfgang A.
10 Douglas, Jim jun.
10 Falk, Richard S.
10 Fang, Qing
10 Hu, Jun
10 Kim, Seungil
10 Larson, Mats G.
10 Nochetto, Ricardo Horacio
10 Shu, Shi
10 Sinha, Rajen Kumar
10 Wei, Guowei
10 Winther, Ragnar
10 Wu, Haijun
10 Zhang, Xu
10 Zheng, Qingqing
9 Bochev, Pavel B.
9 Cao, Waixiang
9 Carey, Graham Francis
9 Carstensen, Carsten
9 Demkowicz, Leszek F.
9 Dougalis, Vassilios A.
9 Huang, Chaobao
9 Huang, Jianguo
9 Jo, Gwanghyun
9 King, John-Thomas
9 Křížek, Michal
...and 3,045 more Authors
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Cited in 270 Serials

236 Mathematics of Computation
206 Numerische Mathematik
196 Journal of Computational and Applied Mathematics
168 Computer Methods in Applied Mechanics and Engineering
144 Computers & Mathematics with Applications
135 Journal of Scientific Computing
129 Applied Mathematics and Computation
123 Journal of Computational Physics
112 Applied Numerical Mathematics
74 SIAM Journal on Numerical Analysis
64 SIAM Journal on Scientific Computing
48 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
46 Numerical Linear Algebra with Applications
44 Computing
44 Numerical Methods for Partial Differential Equations
44 Numerical Algorithms
36 Journal of Mathematical Analysis and Applications
35 BIT
34 Calcolo
34 Advances in Computational Mathematics
31 Computational Methods in Applied Mathematics
28 Linear Algebra and its Applications
27 RAIRO. Modélisation Mathématique et Analyse Numérique
24 International Journal of Computer Mathematics
23 RAIRO. Analyse Numérique
22 Numerical Functional Analysis and Optimization
21 Mathematical Methods in the Applied Sciences
19 Archive for Rational Mechanics and Analysis
19 Applications of Mathematics
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
18 Journal of Numerical Mathematics
17 Computational and Applied Mathematics
16 Aplikace Matematiky
15 International Journal for Numerical Methods in Engineering
15 Mathematics and Computers in Simulation
15 Communications in Computational Physics
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Computers and Fluids
13 Computing and Visualization in Science
13 Advances in Applied Mathematics and Mechanics
12 Applied Mathematics Letters
11 International Journal for Numerical Methods in Fluids
11 Journal of Approximation Theory
11 Science China. Mathematics
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 SIAM Journal on Matrix Analysis and Applications
9 Journal of Integral Equations and Applications
9 Communications in Numerical Methods in Engineering
9 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
8 Applicable Analysis
8 Acta Mathematicae Applicatae Sinica. English Series
8 Mathematical Problems in Engineering
8 BIT. Nordisk Tidskrift for Informationsbehandling
8 East Asian Journal on Applied Mathematics
7 Computational Mechanics
7 Computational Optimization and Applications
7 Journal of Mathematical Sciences (New York)
7 Journal of Applied Mathematics and Computing
7 Communications on Applied Mathematics and Computation
7 Results in Applied Mathematics
6 Applied Mathematics and Optimization
6 Journal of Soviet Mathematics
6 Science in China. Series A
6 Journal of Elasticity
6 Computational Geosciences
6 Archives of Computational Methods in Engineering
6 International Journal of Numerical Analysis and Modeling
5 Computer Physics Communications
5 Journal of Optimization Theory and Applications
5 SIAM Journal on Control and Optimization
5 Computer Aided Geometric Design
5 Constructive Approximation
5 Applied Mathematical Modelling
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 SIAM Journal on Applied Mathematics
5 SIAM Journal on Mathematical Analysis
5 SIAM Review
5 Applied and Computational Harmonic Analysis
5 ETNA. Electronic Transactions on Numerical Analysis
5 Engineering Analysis with Boundary Elements
5 Communications in Nonlinear Science and Numerical Simulation
5 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Engineering Science
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Mathematische Zeitschrift
4 Transactions of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Japan Journal of Industrial and Applied Mathematics
4 Aequationes Mathematicae
4 Filomat
4 Central European Journal of Mathematics
4 Multiscale Modeling & Simulation
4 Acta Numerica
4 Advances in Difference Equations
3 Inverse Problems
3 Journal of Engineering Mathematics
3 Journal of the Franklin Institute
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Integral Equations and Operator Theory
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 170 more Serials
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Cited in 42 Fields

2,576 Numerical analysis (65-XX)
1,461 Partial differential equations (35-XX)
435 Fluid mechanics (76-XX)
337 Mechanics of deformable solids (74-XX)
148 Optics, electromagnetic theory (78-XX)
135 Calculus of variations and optimal control; optimization (49-XX)
69 Approximations and expansions (41-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
55 Operator theory (47-XX)
46 Integral equations (45-XX)
41 Ordinary differential equations (34-XX)
39 Potential theory (31-XX)
38 Computer science (68-XX)
36 Functional analysis (46-XX)
35 Biology and other natural sciences (92-XX)
34 Probability theory and stochastic processes (60-XX)
28 Statistical mechanics, structure of matter (82-XX)
25 Real functions (26-XX)
22 Operations research, mathematical programming (90-XX)
20 Classical thermodynamics, heat transfer (80-XX)
19 Geophysics (86-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
16 Systems theory; control (93-XX)
14 Quantum theory (81-XX)
14 Information and communication theory, circuits (94-XX)
12 Global analysis, analysis on manifolds (58-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Functions of a complex variable (30-XX)
6 Difference and functional equations (39-XX)
5 Special functions (33-XX)
5 Integral transforms, operational calculus (44-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Measure and integration (28-XX)
4 Differential geometry (53-XX)
4 Statistics (62-XX)
3 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Mechanics of particles and systems (70-XX)
1 Algebraic geometry (14-XX)
1 Geometry (51-XX)

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