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Bank, Randolph E.

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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, R.; Bank, Randolph
External Links: MGP
Documents Indexed: 105 Publications since 1975, including 7 Books

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 2,011 times in 1,550 Documents Cited by Year
Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079
Bank, R. E.; Weiser, A.
265
1985
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
205
1987
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
119
1981
A posteriori error estimates based on hierarchical bases. Zbl 0787.65078
Bank, Randolph E.; Smith, R. Kent
107
1993
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
86
1988
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
82
2003
A class of iterative methods for solving saddle point problems. Zbl 0684.65031
Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry
75
1990
Hierarchical bases and the finite element method. Zbl 0865.65078
Bank, Randolph E.
59
1996
A posteriori error estimates for the Stokes problem. Zbl 0731.76040
Bank, Randolph E.; Welfert, Bruno D.
51
1991
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
49
2003
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
43
1990
Mesh smoothing using a posteriori error estimates. Zbl 0873.65092
Bank, Randolph E.; Smith, R. Kent
41
1997
Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025
Bank, Randolph E.; Douglas, Craig C.
41
1985
On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068
Bank, Randolph E.; Yserentant, Harry
38
2014
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
38
1981
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
32
1983
A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106
Bank, Randolph E.; Welfert, Bruno D.
30
1990
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051
Bank, Randolph E.; Rose, Donald J.
28
1977
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
28
1989
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
27
1996
An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058
Bank, R. E.; Sherman, A. H.
27
1981
A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations. Zbl 0471.65074
Bank, Randolph E.
24
1981
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
23
1990
Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052
Bank, Randolph E.
23
1977
PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074
Bank, Randolph E.; Chan, Tony F.
23
1986
A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110
Bank, Randolph E.; Holst, Michael
23
2000
Analysis of some moving space-time finite element methods. Zbl 0770.65060
Bank, Randolph E.; Santos, Rafael F.
23
1993
Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060
Bank, Randolph E.; Rose, Donald J.
21
1982
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
20
2007
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
19
1993
A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104
Bank, Randolph E.; Holst, Michael
18
2003
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
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025
Bank, Randolph E.; Chan, Tony F.
17
1994
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
16
1999
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
15
1998
The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084
Bank, Randolph E.; Coughran, W. M. jun.; Cowsar, Lawrence C.
15
1998
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
2017
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
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057
Bank, R. E.; Rose, D. J.
12
1980
An algebraic multilevel multigraph algorithm. Zbl 1006.65027
Bank, Randolph E.; Smith, R. Kent
10
2002
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
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
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.
10
2013
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.
9
2001
\(hp\) adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
7
2011
An automatic scaling procedure for a D’yakonov-Gunn iteration scheme. Zbl 0426.65056
Bank, Randolph E.
7
1979
The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103
Bank, Randolph E.; Xu, Jinchao
7
1994
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
6
1983
The efficient implementation of local mesh refinement algorithms. Zbl 0534.65079
Bank, Randolph E.
6
1983
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.
6
2015
Sparse matrix multiplication package (SMMP). Zbl 0824.65024
Bank, Randolph E.; Douglas, Craig C.
5
1993
Efficient algorithms for solving tensor product finite element equations. Zbl 0368.65052
Bank, Randolph E.
5
1978
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
The incomplete factorization multigraph algorithm. Zbl 0931.65021
Bank, Randolph E.; Smith, R. Kent
5
1999
Kernel preserving multigrid methods for convection-diffusion equations. Zbl 1102.65124
Bank, Randolph E.; Wan, Justin W. L.; Qu, Zhenpeng
5
2006
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
4
2013
Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids. Zbl 1434.65236
Bank, Randolph E.; Li, Yuwen
4
2019
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
General sparse elimination requires no permanent integer storage. Zbl 0622.65021
Bank, Randolph E.; Smith, R. Kent
4
1987
The hierarchical basis multigrid method for convection-diffusion equations. Zbl 0757.65120
Bank, Randolph E.; Benbourenane, Mohamed
4
1992
An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247
Bank, Randolph E.; Metti, Maximilian S.
3
2013
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 domain decomposition solver for a parallel adaptive meshing paradigm. Zbl 1077.65128
Bank, Randolph E.; Lu, Shaoying
3
2004
Stepsize selection in continuation procedures and damped Newton’s method. Zbl 0675.65047
Bank, Randolph E.; Mittelmann, Hans D.
3
1989
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
A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155
Bank, Randolph E.; Yserentant, Harry
3
2015
Domain decomposition and \(hp\)-adaptive finite elements. Zbl 1217.65217
Bank, Randolph E.; Nguyen, Hieu
3
2011
A parallel \(hp\)-adaptive finite element method. Zbl 1280.65123
Bank, Randolph E.; Nguyen, Hieu
2
2013
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
Bank, R. E. (ed.); Bulirsch, R. (ed.); Gajewski, Herbert (ed.); Merten, K. (ed.)
2
1994
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
Marching algorithms and block Gaussian elimination. Zbl 0345.65016
Bank, Randolph E.
1
1976
Interior methods for a class of elliptic variational inequalities. Zbl 1063.65049
Bank, Randolph E.; Gill, Philip E.; Marcia, Roummel F.
1
2003
A-posteriori error estimates, adaptive local mesh refinement and multigrid iteration. Zbl 0619.65092
Bank, Randolph E.
1
1986
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1
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
Bank, Randolph E. (ed.)
1
1990
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
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
Bank, Randolph (ed.); Holst, Michael (ed.); Widlund, Olof (ed.); Xu, Jinchao (ed.)
1
2013
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
4
2019
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
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.
6
2015
A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155
Bank, Randolph E.; Yserentant, Harry
3
2015
On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068
Bank, Randolph E.; Yserentant, Harry
38
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.
10
2013
Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
4
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
Bank, Randolph; Holst, Michael; Widlund, Olof; Xu, Jinchao
1
2013
\(hp\) adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
7
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
20
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
5
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
82
2003
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
49
2003
A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104
Bank, Randolph E.; Holst, Michael
18
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
10
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.
9
2001
A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110
Bank, Randolph E.; Holst, Michael
23
2000
Multilevel ILU decomposition. Zbl 0938.65063
Bank, Randolph E.; Wagner, Christian
16
1999
The incomplete factorization multigraph algorithm. Zbl 0931.65021
Bank, Randolph E.; Smith, R. Kent
5
1999
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
15
1998
The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084
Bank, Randolph E.; Coughran, W. M. jun.; Cowsar, Lawrence C.
15
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
41
1997
Hierarchical bases and the finite element method. Zbl 0865.65078
Bank, Randolph E.
59
1996
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
27
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.
17
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
Bank, R. E.; Bulirsch, R.; Gajewski, Herbert; Merten, K.
2
1994
A posteriori error estimates based on hierarchical bases. Zbl 0787.65078
Bank, Randolph E.; Smith, R. Kent
107
1993
Analysis of some moving space-time finite element methods. Zbl 0770.65060
Bank, Randolph E.; Santos, Rafael F.
23
1993
An analysis of the composite step biconjugate gradient method. Zbl 0802.65038
Bank, Randolph E.; Chan, Tony F.
19
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.
51
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
75
1990
PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001
Bank, Randolph E.
43
1990
A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106
Bank, Randolph E.; Welfert, Bruno D.
30
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
23
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
On the complexity of sparse Gaussian elimination via bordering. Zbl 0701.65018
Bank, Randolph E.; Rose, Donald J.
1
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
Bank, Randolph E.
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
86
1988
Some error estimates for the box method. Zbl 0634.65105
Bank, Randolph E.; Rose, Donald J.
205
1987
General sparse elimination requires no permanent integer storage. Zbl 0622.65021
Bank, Randolph E.; Smith, R. Kent
4
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.
265
1985
Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025
Bank, Randolph E.; Douglas, Craig C.
41
1985
Numerical methods for semiconductor device simulation. Zbl 0521.65086
Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang
32
1983
Semiconductor device simulation. Zbl 0521.65085
Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E.
6
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.
21
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
119
1981
Global approximate Newton methods. Zbl 0442.65034
Bank, R. E.; Rose, D. J.
38
1981
An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058
Bank, R. E.; Sherman, A. H.
27
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.
28
1977
Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052
Bank, Randolph E.
23
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 1,900 Authors

30 Bank, Randolph E.
26 Xu, Jinchao
26 Zou, Qingsong
22 Zhang, Zhimin
17 Oden, John Tinsley
16 Huang, Yunqing
15 Huang, Weizhang
15 Luo, Zhendong
15 Vassilevski, Panayot Spirov
14 Brenner, Susanne Cecelia
14 Chen, Zhangxin
14 Ovall, Jeffrey S.
14 Vohralík, Martin
13 Bi, Chunjia
13 Sacco, Riccardo
12 Axelsson, Axel Owe Holger
12 Yserentant, Harry
11 Chen, Chuanjun
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 Lazarov, Raytcho D.
9 Maischak, Matthias
9 Nochetto, Ricardo Horacio
9 Repin, Sergeĭ Igorevich
9 Rui, Hongxing
8 Agouzal, Abdellatif
8 Kornhuber, Ralf
8 Reusken, Arnold
8 Russell, Robert D.
8 Wohlmuth, Barbara I.
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 Jerome, Joseph W.
7 Karátson, János
7 Langer, Ulrich
7 Li, Hengguang
7 Li, Jichun
7 Liu, Jinn-Liang
7 Nicaise, Serge
7 Saad, Yousef
7 Wang, Song
7 Wu, Jiming
7 Yi, Nianyu
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 Grubišić, Luka
6 Heuer, Norbert
6 Holst, Michael J.
6 Hu, Xiaozhe
6 Huerta, Antonio
6 Kadalbajoo, Mohan K.
6 Kamenski, Lennard
6 Lang, Jens
6 Lin, Yanping
6 Ma, Changfeng
6 Parter, Seymour V.
6 Patera, Anthony T.
6 Peterseim, Daniel
6 Rachowicz, Waldemar
6 Verfürth, Rüdiger
6 Xu, Xuejun
6 Yuan, Yirang
6 Zheng, Haibiao
5 Bharadwaj, Kamal K.
5 Brezinski, Claude
5 Cao, Zhihao
5 Chan, Tony Fan-Cheong
5 Dahlke, Stephan
5 Demkowicz, Leszek F.
5 Du, Qiang
5 Erath, Christoph
5 Fairweather, Graeme
5 Feng, Xinlong
...and 1,800 more Authors
all top 5

Cited in 161 Serials

174 Computer Methods in Applied Mechanics and Engineering
115 Journal of Computational and Applied Mathematics
111 Numerische Mathematik
94 Applied Numerical Mathematics
87 Mathematics of Computation
70 Applied Mathematics and Computation
63 Journal of Scientific Computing
61 Journal of Computational Physics
59 Computers & Mathematics with Applications
39 Computing
37 Numerical Methods for Partial Differential Equations
30 Numerical Linear Algebra with Applications
29 Advances in Computational Mathematics
28 SIAM Journal on Scientific Computing
25 International Journal for Numerical Methods in Engineering
20 BIT
20 SIAM Journal on Numerical Analysis
19 Computational Mechanics
16 Numerical Algorithms
15 International Journal of Computer Mathematics
15 Computing and Visualization in Science
14 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Computers and Fluids
12 Numerical Functional Analysis and Optimization
12 Communications in Numerical Methods in Engineering
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Journal of Mathematical Analysis and Applications
11 Calcolo
11 Computational Methods in Applied Mathematics
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Journal of Numerical Mathematics
9 Linear Algebra and its Applications
9 Advances in Applied Mathematics and Mechanics
8 International Journal for Numerical Methods in Fluids
8 Mathematical Methods in the Applied Sciences
8 Mathematics and Computers in Simulation
8 Applications of Mathematics
7 Applied Mathematics Letters
7 Mathematical Problems in Engineering
7 Computational Geosciences
7 Science China. Mathematics
6 Computational and Applied Mathematics
5 COMPEL
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
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
4 East Asian Journal on Applied Mathematics
3 Computational Mathematics and Mathematical Physics
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 International Journal of Numerical Analysis and Modeling
3 Frontiers of Mathematics in China
2 Applicable Analysis
2 Chaos, Solitons and Fractals
2 ACM Transactions on Mathematical Software
2 Mathematical Programming
2 Moscow University Computational Mathematics and Cybernetics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 SIAM Journal on Matrix Analysis and Applications
2 International Journal of Computational Geometry & Applications
2 Applied Mathematical Modelling
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 Korean Journal of Mathematics
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
1 Information Processing Letters
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Periodica Mathematica Hungarica
...and 61 more Serials
all top 5

Cited in 44 Fields

1,371 Numerical analysis (65-XX)
696 Partial differential equations (35-XX)
295 Fluid mechanics (76-XX)
146 Mechanics of deformable solids (74-XX)
68 Optics, electromagnetic theory (78-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
29 Statistical mechanics, structure of matter (82-XX)
27 Ordinary differential equations (34-XX)
22 Computer science (68-XX)
21 Operations research, mathematical programming (90-XX)
18 Classical thermodynamics, heat transfer (80-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Operator theory (47-XX)
16 Biology and other natural sciences (92-XX)
13 Probability theory and stochastic processes (60-XX)
12 Geophysics (86-XX)
11 Integral equations (45-XX)
10 Approximations and expansions (41-XX)
8 Potential theory (31-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 History and biography (01-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistics (62-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Combinatorics (05-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Systems theory; control (93-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 Global analysis, analysis on manifolds (58-XX)
1  (73-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year