×
Compute Distance To:
Author ID: pasciak.joseph-e Recent zbMATH articles by "Pasciak, Joseph E."
Published as: Pasciak, Joseph E.; Pasciak, J. E.; Pasciak, Joseph
Documents Indexed: 112 Publications since 1979
Co-Authors: 49 Co-Authors with 102 Joint Publications
1,605 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 2,800 times in 1,923 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.
203
1997
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
151
1986
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
142
1990
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
120
1988
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
Numerical approximation of fractional powers of elliptic operators. Zbl 1331.65159
Bonito, Andrea; Pasciak, Joseph E.
81
2015
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
79
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
71
1991
On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
69
2002
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
69
2015
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.
68
1997
New convergence estimates for multigrid algorithms. Zbl 0659.65098
Bramble, James H.; Pasciak, Joseph E.
64
1987
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
64
1986
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
63
1991
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
62
2014
Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
59
2000
New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081
Bramble, James H.; Pasciak, Joseph E.
54
1993
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.
41
1990
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
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.
39
2007
The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
38
1987
The analysis of smoothers for multigrid algorithms. Zbl 0771.65082
Bramble, James H.; Pasciak, Joseph E.
38
1992
The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
38
1989
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
37
1997
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2000
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
35
2004
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
32
1996
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
30
2004
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
27
2019
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
26
1996
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
26
1988
The computation of resonances in open systems using a perfectly matched layer. Zbl 1198.65224
Kim, Seungil; Pasciak, Joseph E.
25
2009
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
24
2002
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
24
2010
A domain decomposition technique for Stokes problems. Zbl 0691.76031
Bramble, James H.; Pasciak, Joseph E.
24
1990
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
24
2003
Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. Zbl 1226.65090
Hsiao, George C.; Nigam, Nilima; Pasciak, Joseph E.; Xu, Liwei
23
2011
Spectral and pseudo spectral methods for advection equations. Zbl 0448.65071
Pasciak, Joseph E.
21
1980
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
21
2006
The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
21
1988
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316
Bramble, James H.; Pasciak, Joseph E.
21
2008
Multigrid for the mortar finite element method. Zbl 0951.65134
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
18
2000
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
18
1989
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.
18
2013
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
1998
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
17
2005
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061
Bramble, James H.; Pasciak, Joseph E.
17
1988
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
17
2008
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\). Zbl 1277.76093
Kim, Seungil; Pasciak, Joseph E.
17
2010
Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. Zbl 1195.78061
Pasciak, Joseph E.; Vassilevski, Panayot S.
17
2008
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan
16
1999
Numerical approximation of fractional powers of regularly accretive operators. Zbl 1433.65099
Bonito, Andrea; Pasciak, Joseph E.
15
2017
The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
14
1994
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.
14
2001
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
14
2012
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2019
Multilevel iteration for mixed finite element systems with penalty. Zbl 0809.65114
Cai, Zhiqiang; Goldstein, Charles I.; Pasciak, Joseph E.
13
1993
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
13
2000
Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
12
2003
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.
11
2001
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085
Bramble, James H.; Pasciak, Joseph E.
10
1994
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 least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
10
2005
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
9
2019
Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems. Zbl 1255.76109
Kim, Seungil; Pasciak, Joseph E.
9
2010
Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
8
1998
Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075
Bramble, J. H.; Pasciak, J. E.
8
1984
The approximation of parabolic equations involving fractional powers of elliptic operators. Zbl 1416.65338
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
8
2017
A least-squares method for axisymmetric div–curl systems. Zbl 1174.78302
Copeland, Dylan M.; Pasciak, Joseph E.
8
2006
Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
8
2013
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
7
1993
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
7
2002
Domain decomposition methods for problems with partial refinement. Zbl 0746.65084
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E.
7
1992
Spectral properties for the magnetization integral operator. Zbl 0555.45006
Friedman, Mark J.; Pasciak, Joseph E.
7
1984
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
7
2018
Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces. Zbl 1006.78013
Dobson, D. C.; Pasciak, J. E.
6
2001
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113
Bramble, James H.; Pasciak, Joseph E.
6
1985
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.
6
2008
Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. Zbl 1246.65208
Bonito, Andrea; Pasciak, Joseph E.
6
2012
Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. Zbl 0795.65071
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
5
1993
Spectral methods for a nonlinear initial value problem involving pseudo differential operators. Zbl 0489.65061
Pasciak, Joseph E.
5
1982
A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations. Zbl 1363.65040
Bağci, Hakan; Pasciak, Joseph E.; Sirenko, Kostyantyn Y.
4
2015
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
4
2008
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
3
2001
A new scalar potential formulation of the magnetostatic field problem. Zbl 0552.65082
Pasciak, Joseph E.
3
1984
Two domain decomposition techniques for Stokes problems. Zbl 0675.76034
Pasciak, Joseph E.
3
1989
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
2
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
2
2020
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
Two-level preconditioners for \(2m\)’th order elliptic finite element problems. Zbl 0860.65120
Bramble, J. H.; Pasciak, J. E.; Zhang, Xuejun
2
1996
Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
2
1999
Domain decomposition preconditioners for elliptic problems in two and three dimensions: First approach. Zbl 0658.65093
Pasciak, Joseph E.
2
1988
Multigrid convergence for second-order elliptic problems with smooth complex coefficients. Zbl 1194.65134
Gopalakrishnan, J.; Pasciak, J. E.
2
2008
Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. Zbl 1193.65200
Kim, T.; Pasciak, J. E.; Vassilevski, P. S.
2
2006
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
2
2008
A multigrid preconditioner for the mixed formulation of linear plane elasticity. Zbl 1109.74049
Pasciak, Joseph E.; Wang, Yanqiu
2
2006
Corrigendum to: “Numerical approximation of fractional powers of regularly accretive operators”. Zbl 1433.65100
Bonito, Andrea; Pasciak, Joseph E.
2
2017
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
2
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
2
2020
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
27
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2019
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
9
2019
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
7
2018
Numerical approximation of fractional powers of regularly accretive operators. Zbl 1433.65099
Bonito, Andrea; Pasciak, Joseph E.
15
2017
The approximation of parabolic equations involving fractional powers of elliptic operators. Zbl 1416.65338
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
8
2017
Corrigendum to: “Numerical approximation of fractional powers of regularly accretive operators”. Zbl 1433.65100
Bonito, Andrea; Pasciak, Joseph E.
2
2017
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
Numerical approximation of fractional powers of elliptic operators. Zbl 1331.65159
Bonito, Andrea; Pasciak, Joseph E.
81
2015
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
69
2015
A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations. Zbl 1363.65040
Bağci, Hakan; Pasciak, Joseph E.; Sirenko, Kostyantyn Y.
4
2015
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
62
2014
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.
18
2013
Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
8
2013
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
14
2012
Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. Zbl 1246.65208
Bonito, Andrea; Pasciak, Joseph E.
6
2012
Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. Zbl 1226.65090
Hsiao, George C.; Nigam, Nilima; Pasciak, Joseph E.; Xu, Liwei
23
2011
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
24
2010
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\). Zbl 1277.76093
Kim, Seungil; Pasciak, Joseph E.
17
2010
Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems. Zbl 1255.76109
Kim, Seungil; Pasciak, Joseph E.
9
2010
The computation of resonances in open systems using a perfectly matched layer. Zbl 1198.65224
Kim, Seungil; Pasciak, Joseph E.
25
2009
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316
Bramble, James H.; Pasciak, Joseph E.
21
2008
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
17
2008
Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. Zbl 1195.78061
Pasciak, Joseph E.; Vassilevski, Panayot S.
17
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.
6
2008
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
4
2008
Multigrid convergence for second-order elliptic problems with smooth complex coefficients. Zbl 1194.65134
Gopalakrishnan, J.; Pasciak, J. E.
2
2008
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
2
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.
39
2007
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
21
2006
A least-squares method for axisymmetric div–curl systems. Zbl 1174.78302
Copeland, Dylan M.; Pasciak, Joseph E.
8
2006
Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. Zbl 1193.65200
Kim, T.; Pasciak, J. E.; Vassilevski, P. S.
2
2006
A multigrid preconditioner for the mixed formulation of linear plane elasticity. Zbl 1109.74049
Pasciak, Joseph E.; Wang, Yanqiu
2
2006
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
17
2005
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
10
2005
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
35
2004
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
30
2004
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
24
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.
12
2003
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
69
2002
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
24
2002
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
7
2002
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
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.
14
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.
11
2001
Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces. Zbl 1006.78013
Dobson, D. C.; Pasciak, J. E.
6
2001
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
3
2001
Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
59
2000
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2000
Multigrid for the mortar finite element method. Zbl 0951.65134
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
18
2000
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
13
2000
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan
16
1999
Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
2
1999
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
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
Inexact Uzawa algorithms for symmetric and nonsymmetric saddle-point problems. Zbl 0912.65050
Pasciak, Joseph E.; Vassilev, Apostol T.
1
1998
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
203
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.
68
1997
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
37
1997
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
32
1996
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
26
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
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.
14
1994
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085
Bramble, James H.; Pasciak, Joseph E.
10
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
New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081
Bramble, James H.; Pasciak, Joseph E.
54
1993
Multilevel iteration for mixed finite element systems with penalty. Zbl 0809.65114
Cai, Zhiqiang; Goldstein, Charles I.; Pasciak, Joseph E.
13
1993
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
7
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.
38
1992
Domain decomposition methods for problems with partial refinement. Zbl 0746.65084
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E.
7
1992
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
79
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
71
1991
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
63
1991
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
142
1990
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
41
1990
A domain decomposition technique for Stokes problems. Zbl 0691.76031
Bramble, James H.; Pasciak, Joseph E.
24
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.
38
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
18
1989
Two domain decomposition techniques for Stokes problems. Zbl 0675.76034
Pasciak, Joseph E.
3
1989
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
120
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
26
1988
The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
21
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
Domain decomposition preconditioners for elliptic problems in two and three dimensions: First approach. Zbl 0658.65093
Pasciak, Joseph E.
2
1988
Domain decomposition preconditioners for elliptic problems in two and three dimensions. Zbl 0703.65077
Pasciak, Joseph E.
1
1988
New convergence estimates for multigrid algorithms. Zbl 0659.65098
Bramble, James H.; Pasciak, Joseph E.
64
1987
The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
38
1987
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
151
1986
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
64
1986
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113
Bramble, James H.; Pasciak, Joseph E.
6
1985
Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075
Bramble, J. H.; Pasciak, J. E.
8
1984
Spectral properties for the magnetization integral operator. Zbl 0555.45006
Friedman, Mark J.; Pasciak, Joseph E.
7
1984
...and 4 more Documents
all top 5

Cited by 2,240 Authors

39 Pasciak, Joseph E.
33 Bramble, James H.
29 Xu, Jinchao
26 Wang, Hong
26 Zhang, Guofeng
25 Vassilevski, Panayot Spirov
23 Lazarov, Raytcho D.
21 Ewing, Richard Edward
21 Ma, Changfeng
18 Brenner, Susanne Cecelia
18 Liang, Zhaozheng
17 Bacuta, Constantin
17 Vabishchevich, Pëtr Nikolaevich
17 Yang, Danping
16 Li, Jichun
16 Zhou, Zhi
15 Duan, Huoyuan
15 Jin, Bangti
15 Wohlmuth, Barbara I.
14 Bonito, Andrea
14 Harbrecht, Helmut
14 Huang, Yunqing
14 Lamichhane, Bishnu Prasad
14 Shu, Shi
14 Stynes, Martin
14 Zheng, Xiangcheng
13 Hu, Qiya
13 Xu, Xuejun
13 Zhang, Shangyou
12 Bertoluzza, Silvia
12 Nochetto, Ricardo Horacio
12 Zikatanov, Ludmil T.
12 Zou, Jun
11 Cui, Jingjing
11 Huang, Chaobao
11 Huang, Zhengge
11 Mandel, Jan
11 Oswald, Peter
11 Wang, Ligong
11 Xu, Zhong
11 Yang, Suh-Yuh
10 Axelsson, Axel Owe Holger
10 Griebel, Michael
10 Kwak, Do Young
10 Li, Peijun
10 Mardal, Kent-Andre
10 Wang, Junping
9 Ainsworth, Mark
9 Chen, Long
9 Demkowicz, Leszek F.
9 Deng, Weihua
9 Ervin, Vincent J.
9 Kim, Seungil
9 Kunoth, Angela
9 Lin, Yiqin
9 Margenov, Svetozar D.
9 Salgado, Abner J.
9 Sun, Tongjun
9 Tan, Roger C. E.
9 Xie, Xiaoping
8 Antil, Harbir
8 Aulisa, Eugenio
8 Dahmen, Wolfgang A.
8 Hiptmair, Ralf
8 Huang, Na
8 Karkulik, Michael
8 Melenk, Jens Markus
8 Pavarino, Luca Franco
8 Quarteroni, Alfio M.
8 Schöberl, Joachim
8 Wathen, Andrew John
8 Winther, Ragnar
8 Ye, Xiu
8 Zhang, Jiansong
8 Zheng, Qingqing
7 An, Na
7 Bai, Zhongzhi
7 Bao, Gang
7 Bochev, Pavel B.
7 Boffi, Daniele
7 Cao, Yang
7 Carstensen, Carsten
7 Chen, Hu
7 Chen, Huanzhen
7 Elman, Howard C.
7 Führer, Thomas
7 Gopalakrishnan, Jayadeep
7 Harizanov, Stanislav
7 Huang, Jianguo
7 Kuchta, Miroslav
7 Li, Hengguang
7 Ma, Keying
7 Pennacchio, Micol
7 Stevenson, Rob P.
7 Xie, Hehu
7 Xie, Jianqiang
7 Zhang, Zhiyue
7 Zheng, Bing
6 Burman, Erik
6 Cai, Zhiqiang
...and 2,140 more Authors
all top 5

Cited in 193 Serials

135 Journal of Computational and Applied Mathematics
128 Mathematics of Computation
115 Computer Methods in Applied Mechanics and Engineering
108 Applied Numerical Mathematics
103 Computers & Mathematics with Applications
103 Numerische Mathematik
93 Applied Mathematics and Computation
91 Journal of Scientific Computing
71 SIAM Journal on Scientific Computing
66 Journal of Computational Physics
61 SIAM Journal on Numerical Analysis
47 Numerical Linear Algebra with Applications
43 Numerical Algorithms
32 BIT
31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
30 Computing
29 Advances in Computational Mathematics
24 International Journal of Computer Mathematics
21 Numerical Methods for Partial Differential Equations
19 Computational Methods in Applied Mathematics
17 Calcolo
16 Applied Mathematics Letters
16 Linear Algebra and its Applications
15 Computational and Applied Mathematics
14 Fractional Calculus & Applied Analysis
12 Mathematics and Computers in Simulation
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Computational Geosciences
12 Journal of Numerical Mathematics
11 Journal of Mathematical Analysis and Applications
11 International Journal for Numerical Methods in Engineering
11 Applications of Mathematics
11 Communications in Computational Physics
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 International Journal for Numerical Methods in Fluids
9 Advances in Applied Mathematics and Mechanics
8 Mathematical Methods in the Applied Sciences
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Advances in Difference Equations
8 East Asian Journal on Applied Mathematics
7 Computers and Fluids
7 SIAM Journal on Matrix Analysis and Applications
7 Communications in Numerical Methods in Engineering
7 Engineering Analysis with Boundary Elements
6 Numerical Functional Analysis and Optimization
6 Computational Mechanics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Computing and Visualization in Science
6 Communications in Nonlinear Science and Numerical Simulation
6 Archives of Computational Methods in Engineering
5 Science in China. Series A
5 Computational Optimization and Applications
5 Foundations of Computational Mathematics
5 Journal of Applied Mathematics and Computing
5 Science China. Mathematics
4 Applicable Analysis
4 Journal of Mathematical Physics
4 Wave Motion
4 Acta Mathematicae Applicatae Sinica. English Series
4 Computational Mathematics and Mathematical Physics
4 Applied Mathematical Modelling
4 Mathematical Problems in Engineering
4 Mathematical Modelling and Analysis
4 Oberwolfach Reports
4 Communications on Applied Mathematics and Computation
3 Inverse Problems
3 Chaos, Solitons and Fractals
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Control and Optimization
3 Applied Mathematics and Mechanics. (English Edition)
3 Journal of Complexity
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 Multiscale Modeling & Simulation
3 Acta Numerica
3 International Journal of Numerical Analysis and Modeling
3 SIAM/ASA Journal on Uncertainty Quantification
3 Results in Applied Mathematics
2 Journal of Fluid Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Periodica Mathematica Hungarica
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Approximation Theory
2 Kybernetika
2 Constructive Approximation
2 Journal of Integral Equations and Applications
2 Applied and Computational Harmonic Analysis
2 ETNA. Electronic Transactions on Numerical Analysis
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Integral Transforms and Special Functions
2 International Journal of Computational Fluid Dynamics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Optimization Methods & Software
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
2 Structural and Multidisciplinary Optimization
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
...and 93 more Serials
all top 5

Cited in 38 Fields

1,708 Numerical analysis (65-XX)
971 Partial differential equations (35-XX)
289 Fluid mechanics (76-XX)
164 Mechanics of deformable solids (74-XX)
163 Optics, electromagnetic theory (78-XX)
85 Real functions (26-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
40 Ordinary differential equations (34-XX)
37 Approximations and expansions (41-XX)
32 Operator theory (47-XX)
22 Integral equations (45-XX)
22 Probability theory and stochastic processes (60-XX)
21 Computer science (68-XX)
17 Functional analysis (46-XX)
17 Operations research, mathematical programming (90-XX)
15 Statistical mechanics, structure of matter (82-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Biology and other natural sciences (92-XX)
10 Geophysics (86-XX)
9 Special functions (33-XX)
9 Information and communication theory, circuits (94-XX)
8 Systems theory; control (93-XX)
7 Quantum theory (81-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Integral transforms, operational calculus (44-XX)
6 Statistics (62-XX)
5 General and overarching topics; collections (00-XX)
4 Potential theory (31-XX)
4 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
2 Combinatorics (05-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 History and biography (01-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year