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Author ID: bank.randolph-e Recent zbMATH articles by "Bank, Randolph E."
Published as: Bank, Randolph E.; Bank, R. E.; Bank, Randolph
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 2,139 times in 1,642 Documents Cited by Year
Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
Bank, R. E.; Weiser, A.
277
1985
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
216
1987
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
122
1981
A posteriori error estimates based on hierarchical bases. Zbl 0787.65078
Bank, Randolph E.; Smith, R. Kent
113
1993
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
92
1988
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
89
2003
A class of iterative methods for solving saddle point problems. Zbl 0684.65031
Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry
79
1990
Hierarchical bases and the finite element method. Zbl 0865.65078
Bank, Randolph E.
60
1996
A posteriori error estimates for the Stokes problem. Zbl 0731.76040
Bank, Randolph E.; Welfert, Bruno D.
55
1991
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
53
2003
Multigrid methods. Zbl 0659.65094
50
1987
On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068
Bank, Randolph E.; Yserentant, Harry
49
2014
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
45
1990
Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025
Bank, Randolph E.; Douglas, Craig C.
43
1985
Mesh smoothing using a posteriori error estimates. Zbl 0873.65092
Bank, Randolph E.; Smith, R. Kent
42
1997
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
40
1981
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
36
1983
A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106
Bank, Randolph E.; Welfert, Bruno D.
33
1990
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051
Bank, Randolph E.; Rose, Donald J.
31
1977
An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058
Bank, R. E.; Sherman, A. H.
29
1981
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
28
1996
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
28
1989
A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110
Bank, Randolph E.; Holst, Michael
26
2000
Analysis of some moving space-time finite element methods. Zbl 0770.65060
Bank, Randolph E.; Santos, Rafael F.
25
1993
Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052
Bank, Randolph E.
25
1977
Some upwinding techniques for finite element approximations of convection-diffusion equations. Zbl 0713.65066
Bank, Randolph E.; Bürgler, Josef F.; Fichtner, Wolfgang; Smith, R. Kent
25
1990
A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations. Zbl 0471.65074
Bank, Randolph E.
24
1981
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
23
2007
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
23
1986
Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060
Bank, Randolph E.; Rose, Donald J.
22
1982
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
21
1993
A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104
Bank, Randolph E.; Holst, Michael
20
2003
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
18
1994
The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084
Bank, Randolph E.; Coughran, W. M. jun.; Cowsar, Lawrence C.
18
1998
A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem. Zbl 0732.65100
Bank, Randolph E.; Welfert, Bruno D.
18
1990
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113
Bank, Randolph E.
17
1994
Multilevel ILU decomposition. Zbl 0938.65063
Bank, Randolph E.; Wagner, Christian
17
1999
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
16
1998
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
15
2017
A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations. Zbl 1008.65503
Bank, Randolph E.; Jimack, Peter K.
14
2001
An algebraic multilevel multigraph algorithm. Zbl 1006.65027
Bank, Randolph E.; Smith, R. Kent
12
2002
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057
Bank, R. E.; Rose, D. J.
12
1980
The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097
Bank, R. E.; Chan, T. F.; Coughran, W. M. jun.; Smith, R. K.
12
1989
A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement. Zbl 1262.65162
Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey S.
11
2013
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
10
2015
An \(O(n^2)\) method for solving constant coefficient boundary value problems in two dimensions. Zbl 0319.65029
Bank, Randolph E.; Rose, Donald J.
10
1975
Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085
Liu, Yingjie; Bank, Randolph E.; Dupont, Todd F.; Garcia, Sonia; Santos, Rafael F.
10
2003
\(hp\) adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
8
2011
The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103
Bank, Randolph E.; Xu, Jinchao
7
1994
An automatic scaling procedure for a D’yakonov-Gunn iteration scheme. Zbl 0426.65056
Bank, Randolph E.
7
1979
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
7
1983
The incomplete factorization multigraph algorithm. Zbl 0931.65021
Bank, Randolph E.; Smith, R. Kent
6
1999
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
6
2013
Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids. Zbl 1434.65236
Bank, Randolph E.; Li, Yuwen
6
2019
Kernel preserving multigrid methods for convection-diffusion equations. Zbl 1102.65124
Bank, Randolph E.; Wan, Justin W. L.; Qu, Zhenpeng
6
2006
The efficient implementation of local mesh refinement algorithms. Zbl 0534.65079
Bank, Randolph E.
6
1983
Sparse matrix multiplication package (SMMP). Zbl 0824.65024
Bank, Randolph E.; Douglas, Craig C.
5
1993
A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155
Bank, Randolph E.; Yserentant, Harry
5
2015
Some aspects of semiconductor device simulation. Zbl 0677.65125
Smith, R. K.; Coughran, W. M. jun.; Fichtner, W.; Rose, D. J.; Bank, R. E.
5
1986
Efficient algorithms for solving tensor product finite element equations. Zbl 0368.65052
Bank, Randolph E.
5
1978
General sparse elimination requires no permanent integer storage. Zbl 0622.65021
Bank, Randolph E.; Smith, R. Kent
5
1987
The hierarchical basis multigrid method for convection-diffusion equations. Zbl 0757.65120
Bank, Randolph E.; Benbourenane, Mohamed
4
1992
A hierarchical basis multigrid method for unstructured grids. Zbl 0874.65091
Bank, Randolph E.; Xu, Jinchao
4
1995
A simple analysis of some a posteriori error estimates. Zbl 0896.65072
Bank, Randolph E.
4
1998
Continuation and multi-grid for nonlinear elliptic systems. Zbl 0605.65066
Bank, R. E.; Mittelmann, H. D.
4
1986
A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations. Zbl 1013.65139
Bank, Randolph E.; Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyaschikh, Sergei V.
3
2002
Domain decomposition and \(hp\)-adaptive finite elements. Zbl 1217.65217
Bank, Randolph E.; Nguyen, Hieu
3
2011
Analysis of a multilevel inverse iteration procedure for eigenvalue problems. Zbl 0494.65063
Bank, Randolph E.
3
1982
Stepsize selection in continuation procedures and damped Newton’s method. Zbl 0675.65047
Bank, Randolph E.; Mittelmann, Hans D.
3
1989
A domain decomposition solver for a parallel adaptive meshing paradigm. Zbl 1077.65128
Bank, Randolph E.; Lu, Shaoying
3
2004
An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247
Bank, Randolph E.; Metti, Maximilian S.
3
2013
Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059
Bank, Randolph E.; Jerome, Joseph W.; Rose, Donald J.
3
1982
A Fourier analysis of the two-level hierarchical basis multigrid method for convection-diffusion equations. Zbl 0766.65056
Bank, Randolph E.; Benbourenane, Mohamed
2
1991
Mathematical modelling and simulation of electrical circuits and semiconductor devices. Proceedings of a conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany, July 5-11, 1992. Zbl 0794.00028
2
1994
A parallel \(hp\)-adaptive finite element method. Zbl 1280.65123
Bank, Randolph E.; Nguyen, Hieu
2
2013
Algorithmic aspects of the multi-level solution of finite element equations. Zbl 0407.65049
Bank, Randolph E.; Sherman, A. H.
2
1979
The use of adaptive grid refinement for badly behaved elliptic partial differential equations. Zbl 0434.35008
Bank, Randolph E.; Sherman, Andrew H.
2
1980
A multi-level iterative method for nonlinear elliptic equations. Zbl 0467.65054
Bank, Randolph E.
2
1981
Dual functions for a parallel adaptive method. Zbl 1151.65087
Bank, Randolph E.; Ovall, Jeffrey S.
2
2007
Some remarks on interpolation and best approximation. Zbl 1375.65149
Bank, Randolph E.; Ovall, Jeffrey S.
2
2017
Computational aspects of VLSI design with an emphasis on semiconductor device simulation. Proceedings of the 1987 SIAM-AMS summer seminar held at the University of Minnesota, Minneapolis (USA) from April 30 to May 7, 1987. Zbl 0685.00023
1
1990
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1
1990
Marching algorithms and block Gaussian elimination. Zbl 0345.65016
Bank, Randolph E.
1
1976
Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007
1
2013
Interior methods for a class of elliptic variational inequalities. Zbl 1063.65049
Bank, Randolph E.; Gill, Philip E.; Marcia, Roummel F.
1
2003
The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid. Zbl 0926.65125
Bank, Randolph E.; Gutsch, Sabine
1
1998
A-posteriori error estimates, adaptive local mesh refinement and multigrid iteration. Zbl 0619.65092
Bank, Randolph E.
1
1986
Compatible coarsening in the multigraph algorithm. Zbl 1137.65335
Bank, Randolph E.
1
2007
Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids. Zbl 1434.65236
Bank, Randolph E.; Li, Yuwen
6
2019
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
15
2017
Some remarks on interpolation and best approximation. Zbl 1375.65149
Bank, Randolph E.; Ovall, Jeffrey S.
2
2017
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
10
2015
A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155
Bank, Randolph E.; Yserentant, Harry
5
2015
On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068
Bank, Randolph E.; Yserentant, Harry
49
2014
A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement. Zbl 1262.65162
Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey S.
11
2013
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
6
2013
An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247
Bank, Randolph E.; Metti, Maximilian S.
3
2013
A parallel \(hp\)-adaptive finite element method. Zbl 1280.65123
Bank, Randolph E.; Nguyen, Hieu
2
2013
Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007
1
2013
\(hp\) adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
8
2011
Domain decomposition and \(hp\)-adaptive finite elements. Zbl 1217.65217
Bank, Randolph E.; Nguyen, Hieu
3
2011
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
23
2007
Dual functions for a parallel adaptive method. Zbl 1151.65087
Bank, Randolph E.; Ovall, Jeffrey S.
2
2007
Compatible coarsening in the multigraph algorithm. Zbl 1137.65335
Bank, Randolph E.
1
2007
Kernel preserving multigrid methods for convection-diffusion equations. Zbl 1102.65124
Bank, Randolph E.; Wan, Justin W. L.; Qu, Zhenpeng
6
2006
A domain decomposition solver for a parallel adaptive meshing paradigm. Zbl 1077.65128
Bank, Randolph E.; Lu, Shaoying
3
2004
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
89
2003
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
53
2003
A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104
Bank, Randolph E.; Holst, Michael
20
2003
Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085
Liu, Yingjie; Bank, Randolph E.; Dupont, Todd F.; Garcia, Sonia; Santos, Rafael F.
10
2003
Interior methods for a class of elliptic variational inequalities. Zbl 1063.65049
Bank, Randolph E.; Gill, Philip E.; Marcia, Roummel F.
1
2003
An algebraic multilevel multigraph algorithm. Zbl 1006.65027
Bank, Randolph E.; Smith, R. Kent
12
2002
A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations. Zbl 1013.65139
Bank, Randolph E.; Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyaschikh, Sergei V.
3
2002
A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations. Zbl 1008.65503
Bank, Randolph E.; Jimack, Peter K.
14
2001
A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110
Bank, Randolph E.; Holst, Michael
26
2000
Multilevel ILU decomposition. Zbl 0938.65063
Bank, Randolph E.; Wagner, Christian
17
1999
The incomplete factorization multigraph algorithm. Zbl 0931.65021
Bank, Randolph E.; Smith, R. Kent
6
1999
The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084
Bank, Randolph E.; Coughran, W. M. jun.; Cowsar, Lawrence C.
18
1998
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
16
1998
A simple analysis of some a posteriori error estimates. Zbl 0896.65072
Bank, Randolph E.
4
1998
The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid. Zbl 0926.65125
Bank, Randolph E.; Gutsch, Sabine
1
1998
Mesh smoothing using a posteriori error estimates. Zbl 0873.65092
Bank, Randolph E.; Smith, R. Kent
42
1997
Hierarchical bases and the finite element method. Zbl 0865.65078
Bank, Randolph E.
60
1996
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
28
1996
A hierarchical basis multigrid method for unstructured grids. Zbl 0874.65091
Bank, Randolph E.; Xu, Jinchao
4
1995
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
18
1994
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113
Bank, Randolph E.
17
1994
The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103
Bank, Randolph E.; Xu, Jinchao
7
1994
Mathematical modelling and simulation of electrical circuits and semiconductor devices. Proceedings of a conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany, July 5-11, 1992. Zbl 0794.00028
2
1994
A posteriori error estimates based on hierarchical bases. Zbl 0787.65078
Bank, Randolph E.; Smith, R. Kent
113
1993
Analysis of some moving space-time finite element methods. Zbl 0770.65060
Bank, Randolph E.; Santos, Rafael F.
25
1993
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
21
1993
Sparse matrix multiplication package (SMMP). Zbl 0824.65024
Bank, Randolph E.; Douglas, Craig C.
5
1993
The hierarchical basis multigrid method for convection-diffusion equations. Zbl 0757.65120
Bank, Randolph E.; Benbourenane, Mohamed
4
1992
A posteriori error estimates for the Stokes problem. Zbl 0731.76040
Bank, Randolph E.; Welfert, Bruno D.
55
1991
A Fourier analysis of the two-level hierarchical basis multigrid method for convection-diffusion equations. Zbl 0766.65056
Bank, Randolph E.; Benbourenane, Mohamed
2
1991
A class of iterative methods for solving saddle point problems. Zbl 0684.65031
Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry
79
1990
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
45
1990
A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106
Bank, Randolph E.; Welfert, Bruno D.
33
1990
Some upwinding techniques for finite element approximations of convection-diffusion equations. Zbl 0713.65066
Bank, Randolph E.; Bürgler, Josef F.; Fichtner, Wolfgang; Smith, R. Kent
25
1990
A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem. Zbl 0732.65100
Bank, Randolph E.; Welfert, Bruno D.
18
1990
Computational aspects of VLSI design with an emphasis on semiconductor device simulation. Proceedings of the 1987 SIAM-AMS summer seminar held at the University of Minnesota, Minneapolis (USA) from April 30 to May 7, 1987. Zbl 0685.00023
1
1990
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1
1990
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
28
1989
The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097
Bank, R. E.; Chan, T. F.; Coughran, W. M. jun.; Smith, R. K.
12
1989
Stepsize selection in continuation procedures and damped Newton’s method. Zbl 0675.65047
Bank, Randolph E.; Mittelmann, Hans D.
3
1989
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
92
1988
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
216
1987
Multigrid methods. Zbl 0659.65094
50
1987
General sparse elimination requires no permanent integer storage. Zbl 0622.65021
Bank, Randolph E.; Smith, R. Kent
5
1987
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
23
1986
Some aspects of semiconductor device simulation. Zbl 0677.65125
Smith, R. K.; Coughran, W. M. jun.; Fichtner, W.; Rose, D. J.; Bank, R. E.
5
1986
Continuation and multi-grid for nonlinear elliptic systems. Zbl 0605.65066
Bank, R. E.; Mittelmann, H. D.
4
1986
A-posteriori error estimates, adaptive local mesh refinement and multigrid iteration. Zbl 0619.65092
Bank, Randolph E.
1
1986
Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
Bank, R. E.; Weiser, A.
277
1985
Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025
Bank, Randolph E.; Douglas, Craig C.
43
1985
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
36
1983
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
7
1983
The efficient implementation of local mesh refinement algorithms. Zbl 0534.65079
Bank, Randolph E.
6
1983
Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060
Bank, Randolph E.; Rose, Donald J.
22
1982
Analysis of a multilevel inverse iteration procedure for eigenvalue problems. Zbl 0494.65063
Bank, Randolph E.
3
1982
Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059
Bank, Randolph E.; Jerome, Joseph W.; Rose, Donald J.
3
1982
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
122
1981
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
40
1981
An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058
Bank, R. E.; Sherman, A. H.
29
1981
A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations. Zbl 0471.65074
Bank, Randolph E.
24
1981
A multi-level iterative method for nonlinear elliptic equations. Zbl 0467.65054
Bank, Randolph E.
2
1981
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057
Bank, R. E.; Rose, D. J.
12
1980
The use of adaptive grid refinement for badly behaved elliptic partial differential equations. Zbl 0434.35008
Bank, Randolph E.; Sherman, Andrew H.
2
1980
An automatic scaling procedure for a D’yakonov-Gunn iteration scheme. Zbl 0426.65056
Bank, Randolph E.
7
1979
Algorithmic aspects of the multi-level solution of finite element equations. Zbl 0407.65049
Bank, Randolph E.; Sherman, A. H.
2
1979
Efficient algorithms for solving tensor product finite element equations. Zbl 0368.65052
Bank, Randolph E.
5
1978
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051
Bank, Randolph E.; Rose, Donald J.
31
1977
Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052
Bank, Randolph E.
25
1977
Marching algorithms and block Gaussian elimination. Zbl 0345.65016
Bank, Randolph E.
1
1976
An \(O(n^2)\) method for solving constant coefficient boundary value problems in two dimensions. Zbl 0319.65029
Bank, Randolph E.; Rose, Donald J.
10
1975
all top 5

Cited by 2,047 Authors

30 Bank, Randolph E.
27 Xu, Jinchao
26 Zou, Qingsong
24 Zhang, Zhimin
19 Huang, Yunqing
17 Oden, John Tinsley
16 Vohralík, Martin
15 Chen, Chuanjun
15 Huang, Weizhang
15 Luo, Zhendong
15 Vassilevski, Panayot Spirov
14 Brenner, Susanne Cecelia
14 Chen, Zhangxin
14 Ovall, Jeffrey S.
13 Bi, Chunjia
13 Sacco, Riccardo
12 Axelsson, Axel Owe Holger
12 Yserentant, Harry
11 Ewing, Richard Edward
11 Li, Yonghai
11 Pasciak, Joseph E.
11 Sauter, Stefan A.
11 Stephan, Ernst Peter
11 Wittum, Gabriel
11 Zhou, Aihui
10 Chen, Long
10 He, Yinnian
10 Li, Jian
10 Praetorius, Dirk
10 Stein, Erwin
10 Yang, Min
9 Ainsworth, Mark
9 Hoppe, Ronald H. W.
9 Langer, Ulrich
9 Lazarov, Raytcho D.
9 Maischak, Matthias
9 Nochetto, Ricardo Horacio
9 Repin, Sergeĭ Igorevich
9 Rui, Hongxing
9 Wu, Jiming
9 Yi, Nianyu
8 Agouzal, Abdellatif
8 Grubišić, Luka
8 Holst, Michael J.
8 Kornhuber, Ralf
8 Reusken, Arnold
8 Russell, Robert D.
8 Saad, Yousef
8 Wohlmuth, Barbara I.
8 Wu, Chao
8 Xie, Hehu
8 Zhang, Shangyou
7 Achchab, Boujemaa
7 Bramble, James H.
7 Cao, Weiming
7 Carey, Graham Francis
7 Chien, Cheng-Sheng
7 Flaherty, Joseph E.
7 Gatica, Gabriel N.
7 Guo, Hailong
7 Huang, Na
7 Huerta, Antonio
7 Jerome, Joseph W.
7 Karátson, János
7 Li, Hengguang
7 Li, Jichun
7 Liu, Jinn-Liang
7 Nicaise, Serge
7 Wang, Song
7 Zhang, Chensong
7 Zheng, Haibiao
6 Araya, Rodolfo A.
6 Babuška, Ivo
6 Braess, Dietrich
6 Carstensen, Carsten
6 Ern, Alexandre
6 Franca, Leopoldo Luis Cabo Penna
6 Ginting, Victor
6 Heuer, Norbert
6 Hu, Xiaozhe
6 Kadalbajoo, Mohan K.
6 Kamenski, Lennard
6 Kim, Kwang Yeon
6 Lang, Jens
6 Li, Yuwen
6 Lin, Yanping
6 Ma, Changfeng
6 Parter, Seymour V.
6 Patera, Anthony T.
6 Peterseim, Daniel
6 Rachowicz, Waldemar
6 Shang, Yueqiang
6 Verfürth, Rüdiger
6 Wheeler, Mary Fanett
6 Xu, Xuejun
6 Yuan, Jinyun
6 Yuan, Yirang
5 Bharadwaj, Kamal K.
5 Brezinski, Claude
5 Cao, Zhihao
...and 1,947 more Authors
all top 5

Cited in 178 Serials

179 Computer Methods in Applied Mechanics and Engineering
120 Journal of Computational and Applied Mathematics
112 Numerische Mathematik
97 Applied Numerical Mathematics
89 Mathematics of Computation
71 Applied Mathematics and Computation
67 Journal of Scientific Computing
66 Journal of Computational Physics
64 Computers & Mathematics with Applications
39 Computing
37 Numerical Methods for Partial Differential Equations
31 SIAM Journal on Scientific Computing
30 Numerical Linear Algebra with Applications
30 Advances in Computational Mathematics
25 International Journal for Numerical Methods in Engineering
23 SIAM Journal on Numerical Analysis
21 BIT
19 Computational Mechanics
19 Numerical Algorithms
17 International Journal of Computer Mathematics
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Computing and Visualization in Science
15 Computational Methods in Applied Mathematics
14 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Computers and Fluids
12 Calcolo
12 Numerical Functional Analysis and Optimization
12 Communications in Numerical Methods in Engineering
12 Journal of Numerical Mathematics
11 Journal of Mathematical Analysis and Applications
11 Advances in Applied Mathematics and Mechanics
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Linear Algebra and its Applications
8 International Journal for Numerical Methods in Fluids
8 Mathematical Methods in the Applied Sciences
8 Mathematics and Computers in Simulation
8 Applied Mathematics Letters
8 Applications of Mathematics
7 Computational and Applied Mathematics
7 Mathematical Problems in Engineering
7 Computational Geosciences
7 Science China. Mathematics
5 COMPEL
5 SIAM Journal on Matrix Analysis and Applications
5 Science in China. Series A
5 Japan Journal of Industrial and Applied Mathematics
5 Journal of Mathematical Sciences (New York)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 International Journal of Numerical Analysis and Modeling
5 East Asian Journal on Applied Mathematics
4 Computer Physics Communications
4 Journal of Optimization Theory and Applications
4 Applied Mathematics and Mechanics. (English Edition)
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Engineering Analysis with Boundary Elements
3 Applicable Analysis
3 Computational Mathematics and Mathematical Physics
3 Applied Mathematical Modelling
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 ETNA. Electronic Transactions on Numerical Analysis
3 Foundations of Computational Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 International Journal of Computational Methods
3 Acta Numerica
3 Frontiers of Mathematics in China
3 Communications in Computational Physics
3 Korean Journal of Mathematics
2 Chaos, Solitons and Fractals
2 ACM Transactions on Mathematical Software
2 Mathematical Programming
2 Moscow University Computational Mathematics and Cybernetics
2 Journal of Computational Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 International Journal of Computational Geometry & Applications
2 SIAM Review
2 Mathematical Programming. Series A. Series B
2 Archive of Applied Mechanics
2 Advances in Engineering Software
2 Computational Optimization and Applications
2 Applied and Computational Harmonic Analysis
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 International Journal of Numerical Modelling
2 Engineering Computations
2 Differential Equations
2 Archives of Computational Methods in Engineering
2 Journal of Systems Science and Complexity
2 Multiscale Modeling & Simulation
2 ISRN Applied Mathematics
2 Molecular Based Mathematical Biology
2 SIAM/ASA Journal on Uncertainty Quantification
2 Nonlinear Analysis. Theory, Methods & Applications
2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
2 AIMS Mathematics
1 Classical and Quantum Gravity
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 International Journal of General Systems
1 International Journal for Numerical and Analytical Methods in Geomechanics
...and 78 more Serials
all top 5

Cited in 44 Fields

1,456 Numerical analysis (65-XX)
740 Partial differential equations (35-XX)
315 Fluid mechanics (76-XX)
151 Mechanics of deformable solids (74-XX)
73 Optics, electromagnetic theory (78-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
32 Statistical mechanics, structure of matter (82-XX)
27 Ordinary differential equations (34-XX)
25 Computer science (68-XX)
22 Operations research, mathematical programming (90-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Classical thermodynamics, heat transfer (80-XX)
18 Biology and other natural sciences (92-XX)
16 Operator theory (47-XX)
15 Probability theory and stochastic processes (60-XX)
14 Geophysics (86-XX)
13 Approximations and expansions (41-XX)
12 Integral equations (45-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Potential theory (31-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Information and communication theory, circuits (94-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Statistics (62-XX)
5 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Real functions (26-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Differential geometry (53-XX)
3 Systems theory; control (93-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year