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Author ID: pasciak.joseph-e Recent zbMATH articles by "Pasciak, Joseph E."
Published as: Pasciak, Joseph E.; Pasciak, J. E.; Pasciak, Joseph

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 3,432 times in 2,347 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.
235
1997
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
172
1986
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
162
1990
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
143
1988
Numerical approximation of fractional powers of elliptic operators. Zbl 1331.65159
Bonito, Andrea; Pasciak, Joseph E.
118
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
116
2015
On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf
96
2002
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
90
1991
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
84
2015
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
83
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.
82
1997
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
80
1991
New convergence estimates for multigrid algorithms. Zbl 0659.65098
Bramble, James H.; Pasciak, Joseph E.
71
1987
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
70
2014
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
67
1986
Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.
66
2000
New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081
Bramble, James H.; Pasciak, Joseph E.
59
1993
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
58
2019
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.
53
2007
The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
43
1989
The analysis of smoothers for multigrid algorithms. Zbl 0771.65082
Bramble, James H.; Pasciak, Joseph E.
42
1992
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 construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
41
1987
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
40
1997
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.
39
2001
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
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
39
2000
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
37
2004
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
35
1996
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
32
1996
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
32
2004
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
31
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
31
2010
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
31
2011
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
29
2019
The computation of resonances in open systems using a perfectly matched layer. Zbl 1198.65224
Kim, Seungil; Pasciak, Joseph E.
29
2009
A domain decomposition technique for Stokes problems. Zbl 0691.76031
Bramble, James H.; Pasciak, Joseph E.
28
1990
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316
Bramble, James H.; Pasciak, Joseph E.
27
2008
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 Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150
Bramble, James H.; Pasciak, Joseph E.
26
2013
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
26
2020
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
25
2003
The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H.
25
1988
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
25
2006
Numerical approximation of fractional powers of regularly accretive operators. Zbl 1433.65099
Bonito, Andrea; Pasciak, Joseph E.
25
2017
Spectral and pseudo spectral methods for advection equations. Zbl 0448.65071
Pasciak, Joseph E.
23
1980
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.
22
2008
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
21
1998
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
21
2000
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\). Zbl 1277.76093
Kim, Seungil; Pasciak, Joseph E.
21
2010
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
20
2005
Multigrid for the mortar finite element method. Zbl 0951.65134
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
20
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
20
1989
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
20
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
18
1999
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.
18
2001
The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
17
1994
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
17
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.
16
2003
Multilevel iteration for mixed finite element systems with penalty. Zbl 0809.65114
Cai, Zhiqiang; Goldstein, Charles I.; Pasciak, Joseph E.
14
1993
The approximation of parabolic equations involving fractional powers of elliptic operators. Zbl 1416.65338
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2017
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061
Bramble, James H.; Pasciak, Joseph E.
14
1988
Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces. Zbl 1006.78013
Dobson, D. C.; Pasciak, J. E.
13
2001
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.
13
2008
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
13
2005
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
13
2018
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
13
2019
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.
12
2001
Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. Zbl 1246.65208
Bonito, Andrea; Pasciak, Joseph E.
12
2012
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
11
2002
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
Spectral properties for the magnetization integral operator. Zbl 0555.45006
Friedman, Mark J.; Pasciak, Joseph E.
11
1984
Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems. Zbl 1255.76109
Kim, Seungil; Pasciak, Joseph E.
11
2010
Numerical approximation of space-time fractional parabolic equations. Zbl 1434.65175
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
11
2017
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
11
2020
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 method for axisymmetric div–curl systems. Zbl 1174.78302
Copeland, Dylan M.; Pasciak, Joseph E.
10
2006
Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075
Bramble, J. H.; Pasciak, J. E.
9
1984
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
Spectral methods for a nonlinear initial value problem involving pseudo differential operators. Zbl 0489.65061
Pasciak, Joseph E.
8
1982
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
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
8
2008
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
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113
Bramble, James H.; Pasciak, Joseph E.
6
1985
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
Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. Zbl 0795.65071
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E.
5
1993
Two domain decomposition techniques for Stokes problems. Zbl 0675.76034
Pasciak, Joseph E.
5
1989
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
5
2008
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.
5
2015
A multigrid preconditioner for the mixed formulation of linear plane elasticity. Zbl 1109.74049
Pasciak, Joseph E.; Wang, Yanqiu
4
2006
A new scalar potential formulation of the magnetostatic field problem. Zbl 0552.65082
Pasciak, Joseph E.
3
1984
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
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.
3
1999
Corrigendum to: “Numerical approximation of fractional powers of regularly accretive operators”. Zbl 1433.65100
Bonito, Andrea; Pasciak, Joseph E.
3
2017
Two-level preconditioners for \(2m\)’th order elliptic finite element problems. Zbl 0860.65120
Bramble, J. H.; Pasciak, J. E.; Zhang, Xuejun
2
1996
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
Domain decomposition preconditioners for elliptic problems in two and three dimensions: First approach. Zbl 0658.65093
Pasciak, Joseph E.
2
1988
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
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
26
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
11
2020
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
58
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
29
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
13
2019
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
13
2018
Numerical approximation of fractional powers of regularly accretive operators. Zbl 1433.65099
Bonito, Andrea; Pasciak, Joseph E.
25
2017
The approximation of parabolic equations involving fractional powers of elliptic operators. Zbl 1416.65338
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2017
Numerical approximation of space-time fractional parabolic equations. Zbl 1434.65175
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
11
2017
Corrigendum to: “Numerical approximation of fractional powers of regularly accretive operators”. Zbl 1433.65100
Bonito, Andrea; Pasciak, Joseph E.
3
2017
Numerical approximation of fractional powers of elliptic operators. Zbl 1331.65159
Bonito, Andrea; Pasciak, Joseph E.
118
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
116
2015
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
84
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.
5
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
70
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.
26
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.
17
2012
Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. Zbl 1246.65208
Bonito, Andrea; Pasciak, Joseph E.
12
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
31
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
31
2010
Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\). Zbl 1277.76093
Kim, Seungil; Pasciak, Joseph E.
21
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.
11
2010
The computation of resonances in open systems using a perfectly matched layer. Zbl 1198.65224
Kim, Seungil; Pasciak, Joseph E.
29
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.
27
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.
22
2008
A mixed method for axisymmetric div-curl systems. Zbl 1202.78027
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
20
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.
13
2008
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
8
2008
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
5
2008
Multigrid convergence for second-order elliptic problems with smooth complex coefficients. Zbl 1194.65134
Gopalakrishnan, J.; Pasciak, J. 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.
53
2007
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Zbl 1119.65106
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
25
2006
A least-squares method for axisymmetric div–curl systems. Zbl 1174.78302
Copeland, Dylan M.; Pasciak, Joseph E.
10
2006
A multigrid preconditioner for the mixed formulation of linear plane elasticity. Zbl 1109.74049
Pasciak, Joseph E.; Wang, Yanqiu
4
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
The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E.
20
2005
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
13
2005
A new approximation technique for div-curl systems. Zbl 1049.78026
Bramble, James H.; Pasciak, Joseph E.
37
2004
Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F.
32
2004
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Zbl 1009.78009
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
25
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.
16
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
96
2002
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
31
2002
Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E.
11
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.
39
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.
18
2001
Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces. Zbl 1006.78013
Dobson, D. C.; Pasciak, J. E.
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.
12
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.
66
2000
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
39
2000
An efficient method for band structure calculations in 3D photonic crystals. Zbl 1034.78013
Dobson, David C.; Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
21
2000
Multigrid for the mortar finite element method. Zbl 0951.65134
Gopalakrishnan, Jayadeep; Pasciak, Joseph E.
20
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
18
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.
3
1999
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
21
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.
235
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.
82
1997
Iterative techniques for time dependent Stokes problems. Zbl 1030.76506
Bramble, J. H.; Pasciak, J. E.
40
1997
Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055
Bramble, James H.; Pasciak, Joseph E.
35
1996
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024
Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V.
32
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.
17
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
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.
59
1993
Multilevel iteration for mixed finite element systems with penalty. Zbl 0809.65114
Cai, Zhiqiang; Goldstein, Charles I.; Pasciak, Joseph E.
14
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.
42
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
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
90
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
83
1991
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
80
1991
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
162
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.
28
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
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
20
1989
Two domain decomposition techniques for Stokes problems. Zbl 0675.76034
Pasciak, Joseph E.
5
1989
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017
Bramble, James H.; Pasciak, Joseph E.
143
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.
25
1988
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061
Bramble, James H.; Pasciak, Joseph E.
14
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.
71
1987
The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
41
1987
The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
172
1986
An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H.
67
1986
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113
Bramble, James H.; Pasciak, Joseph E.
6
1985
Spectral properties for the magnetization integral operator. Zbl 0555.45006
Friedman, Mark J.; Pasciak, Joseph E.
11
1984
...and 5 more Documents
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Cited by 2,767 Authors

42 Pasciak, Joseph E.
33 Bramble, James H.
32 Xu, Jinchao
31 Wang, Hong
30 Vassilevski, Panayot Spirov
26 Lazarov, Raytcho D.
26 Zhang, Guofeng
23 Ma, Changfeng
21 Brenner, Susanne Cecelia
21 Ewing, Richard Edward
20 Vabishchevich, Pëtr Nikolaevich
19 Bonito, Andrea
19 Li, Jichun
19 Yang, Danping
18 Liang, Zhaozheng
18 Zhou, Zhi
17 Bacuta, Constantin
17 Gopalakrishnan, Jay
17 Xu, Xuejun
17 Zheng, Xiangcheng
16 Duan, Huoyuan
16 Harbrecht, Helmut
16 Hu, Qiya
16 Huang, Yunqing
16 Jin, Bangti
16 Wohlmuth, Barbara I.
15 Lamichhane, Bishnu Prasad
15 Nochetto, Ricardo Horacio
15 Zikatanov, Ludmil T.
14 Deng, Weihua
14 Shu, Shi
14 Stynes, Martin Joseph
14 Zou, Jun
13 Xu, Fei
13 Zhang, Shangyou
12 Bertoluzza, Silvia
12 Huang, Chaobao
12 Mandel, Jan
12 Mardal, Kent-Andre
12 Margenov, Svetozar D.
12 Melenk, Jens Markus
11 Antil, Harbir
11 Axelsson, Axel Owe Holger
11 Chen, Long
11 Cui, Jingjing
11 Demkowicz, Leszek
11 Griebel, Michael
11 Huang, Zhengge
11 Kwak, Do Young
11 Li, Peijun
11 Oswald, Peter
11 Salgado, Abner J.
11 Steinbach, Olaf
11 Sun, Tongjun
11 Wang, Junping
11 Wang, Ligong
11 Xie, Xiaoping
11 Xu, Zhong
11 Yang, Suh-Yuh
10 Ainsworth, Mark
10 Ervin, Vincent J.
10 Kim, Seungil
10 Langer, Ulrich
10 Stevenson, Rob P.
10 Sung, Li-Yeng
10 Zheng, Qingqing
9 Chen, Huanzhen
9 Dahmen, Wolfgang A.
9 Harizanov, Stanislav
9 Huang, Na
9 Karkulik, Michael
9 Kuchta, Miroslav
9 Kunoth, Angela
9 Lin, Yiqin
9 Schöberl, Joachim
9 Schwab, Christoph
9 Tan, Roger C. E.
9 Wathen, Andrew John
9 Wu, Haijun
9 Zhang, Jiansong
8 An, Na
8 Aulisa, Eugenio
8 Bao, Gang
8 Bochev, Pavel B.
8 Borthagaray, Juan Pablo
8 Burman, Erik
8 Carstensen, Carsten
8 Chen, Hu
8 Führer, Thomas
8 Hiptmair, Ralf
8 Huang, Jianguo
8 Lei, Wenyu
8 Li, Changpin
8 Mao, Shipeng
8 Neymeyr, Klaus
8 Nie, Daxin
8 Olshanskii, Maxim A.
8 Pavarino, Luca Franco
8 Quarteroni, Alfio M.
8 Villa, Umberto E.
...and 2,667 more Authors
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Cited in 218 Serials

150 Journal of Computational and Applied Mathematics
134 Mathematics of Computation
131 Computers & Mathematics with Applications
131 Computer Methods in Applied Mechanics and Engineering
113 Applied Numerical Mathematics
109 Numerische Mathematik
108 Journal of Scientific Computing
99 Applied Mathematics and Computation
89 Journal of Computational Physics
89 SIAM Journal on Scientific Computing
76 SIAM Journal on Numerical Analysis
73 Numerical Linear Algebra with Applications
51 Numerical Algorithms
42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
37 Numerical Methods for Partial Differential Equations
35 BIT
35 Advances in Computational Mathematics
30 Computing
30 Computational Methods in Applied Mathematics
28 International Journal of Computer Mathematics
24 Mathematical Methods in the Applied Sciences
21 International Journal for Numerical Methods in Engineering
20 Calcolo
20 Computational and Applied Mathematics
17 Applied Mathematics Letters
17 Linear Algebra and its Applications
16 Mathematics and Computers in Simulation
15 Communications in Computational Physics
14 International Journal for Numerical Methods in Fluids
14 Fractional Calculus & Applied Analysis
14 Journal of Numerical Mathematics
12 Journal of Mathematical Analysis and Applications
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Applications of Mathematics
12 Computational Geosciences
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Communications in Nonlinear Science and Numerical Simulation
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Advances in Applied Mathematics and Mechanics
9 Computing and Visualization in Science
9 East Asian Journal on Applied Mathematics
8 Engineering Analysis with Boundary Elements
8 Advances in Difference Equations
7 Computers and Fluids
7 Numerical Functional Analysis and Optimization
7 Computational Mechanics
7 SIAM Journal on Matrix Analysis and Applications
7 Communications in Numerical Methods in Engineering
7 Foundations of Computational Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Mathematical Modelling and Analysis
6 Archives of Computational Methods in Engineering
6 Acta Numerica
6 International Journal of Numerical Analysis and Modeling
6 Science China. Mathematics
5 Inverse Problems
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5 Science in China. Series A
5 Computational Mathematics and Mathematical Physics
5 SIAM Journal on Applied Mathematics
5 Computational Optimization and Applications
5 ETNA. Electronic Transactions on Numerical Analysis
5 Communications on Pure and Applied Analysis
5 Journal of Applied Mathematics and Computing
4 Applicable Analysis
4 Computer Physics Communications
4 Journal of Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Control and Optimization
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Complexity
4 Applied Mathematical Modelling
4 Mathematical Problems in Engineering
4 Multiscale Modeling & Simulation
4 Oberwolfach Reports
4 SIAM/ASA Journal on Uncertainty Quantification
4 Communications on Applied Mathematics and Computation
4 Results in Applied Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Chaos, Solitons and Fractals
3 Journal of Optimization Theory and Applications
3 Applied Mathematics and Mechanics. (English Edition)
3 SIAM Review
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Lobachevskii Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 GAMM-Mitteilungen
3 Inverse Problems and Imaging
3 Numerical Mathematics: Theory, Methods and Applications
2 Journal of Fluid Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Periodica Mathematica Hungarica
2 Applied Mathematics and Optimization
2 Journal of Approximation Theory
2 Journal of Differential Equations
2 Journal of the Korean Mathematical Society
2 Kybernetika
2 Mathematica Numerica Sinica
...and 118 more Serials
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Cited in 38 Fields

2,089 Numerical analysis (65-XX)
1,203 Partial differential equations (35-XX)
350 Fluid mechanics (76-XX)
208 Mechanics of deformable solids (74-XX)
203 Optics, electromagnetic theory (78-XX)
132 Real functions (26-XX)
112 Calculus of variations and optimal control; optimization (49-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
53 Ordinary differential equations (34-XX)
49 Approximations and expansions (41-XX)
42 Operator theory (47-XX)
35 Probability theory and stochastic processes (60-XX)
29 Computer science (68-XX)
25 Integral equations (45-XX)
23 Statistical mechanics, structure of matter (82-XX)
23 Operations research, mathematical programming (90-XX)
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19 Global analysis, analysis on manifolds (58-XX)
16 Special functions (33-XX)
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16 Biology and other natural sciences (92-XX)
14 Geophysics (86-XX)
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11 Information and communication theory, circuits (94-XX)
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8 Integral transforms, operational calculus (44-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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1 Relativity and gravitational theory (83-XX)

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