Edit Profile (opens in new tab) Bank, Randolph E. Compute Distance To: Compute Author ID: bank.randolph-e Published as: Bank, Randolph E.; Bank, R. E.; Bank, Randolph more...less External Links: MGP Documents Indexed: 96 Publications since 1975, including 3 Books 9 Contributions as Editor · 1 Further Contribution Co-Authors: 53 Co-Authors with 87 Joint Publications 1,678 Co-Co-Authors all top 5 Co-Authors 17 single-authored 14 Rose, Donald J. 10 Smith, R. Kent 7 Xu, Jinchao 5 Fichtner, Wolfgang 5 Yserentant, Harry 4 Chan, Tony Fan-Cheong 4 Hackbusch, Wolfgang 4 Welfert, Bruno D. 4 Wittum, Gabriel 3 Coughran, William M. jun. 3 Douglas, Craig C. 3 Dupont, Todd F. 3 Holst, Michael J. 3 Nguyen Trung Hieu 3 Ovall, Jeffrey S. 3 Sherman, Andrew H. 2 Benbourenane, Mohamed 2 Bulirsch, Roland Zdeněk 2 Deotte, Chris 2 Gutsch, Sabine 2 Jimack, Peter K. 2 McCormick, Steve Fahrney 2 Merten, Knut 2 Metti, Maximilian S. 2 Mittelmann, Hans Detlef 2 Ruge, John W. 2 Santos, Rafael F. 1 Briggs, William L. 1 Bürgler, Josef F. 1 Cai, Zhiqiang 1 Cowsar, Lawrence C. 1 Falgout, Robert D. 1 Gajewski, Herbert 1 Garcia, Sonia M. F. 1 Gill, Philip E. 1 Grasedyck, Lars 1 Grubišić, Luka 1 Hemker, Pieter W. 1 Jerome, Joseph W. 1 Johnson, Gary M. 1 Li, Yuwen 1 Liu, Yingjie 1 Lu, Shaoying 1 Mandel, Jan 1 Manteuffel, Thomas A. 1 Marcia, Roummel F. 1 Nadeem, Sarfraz Ahmad 1 Nepomnyashchikh, Sergeĭ Vladimirovich 1 Parsania, Asieh 1 Périaux, Jacques F. 1 Qu, Zhenpeng 1 Sauter, Stefan A. 1 Scott, Larkin Ridgway 1 Stüben, Klaus 1 Vassilevski, Panayot Spirov 1 Verfürth, Rüdiger 1 Wagner, Christian 1 Wan, Justin W. L. 1 Weiser, Alan 1 Widlund, Olof B. 1 Zheng, Bin 1 Zikatanov, Ludmil T. all top 5 Serials 17 SIAM Journal on Numerical Analysis 12 Numerische Mathematik 7 SIAM Journal on Scientific Computing 7 Computing and Visualization in Science 5 SIAM Journal on Scientific and Statistical Computing 5 Oberwolfach Reports 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 Frontiers in Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational and Applied Mathematics 2 ISNM. International Series of Numerical Mathematics 1 BIT 1 Computing 1 Mathematics and Computers in Simulation 1 Journal of Computational Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 SIAM Review 1 Advances in Engineering Software 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Concurrency and Computation: Practice & Experience 1 Lecture Notes in Computational Science and Engineering 1 Software - Environments - Tools all top 5 Fields 105 Numerical analysis (65-XX) 62 Partial differential equations (35-XX) 10 General and overarching topics; collections (00-XX) 8 Optics, electromagnetic theory (78-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 0569.65079Bank, R. E.; Weiser, A. 277 1985 Some error estimates for the box method. Zbl 0634.65105Bank, Randolph E.; Rose, Donald J. 216 1987 An optimal order process for solving finite element equations. Zbl 0466.65059Bank, Randolph E.; Dupont, Todd 122 1981 A posteriori error estimates based on hierarchical bases. Zbl 0787.65078Bank, Randolph E.; Smith, R. Kent 113 1993 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116Bank, Randolph E.; Xu, Jinchao 89 2003 A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 79 1990 Hierarchical bases and the finite element method. Zbl 0865.65078Bank, Randolph E. 60 1996 A posteriori error estimates for the Stokes problem. Zbl 0731.76040Bank, Randolph E.; Welfert, Bruno D. 55 1991 Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117Bank, 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 1285.65068Bank, Randolph E.; Yserentant, Harry 49 2014 PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001Bank, Randolph E. 45 1990 Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025Bank, Randolph E.; Douglas, Craig C. 43 1985 Mesh smoothing using a posteriori error estimates. Zbl 0873.65092Bank, Randolph E.; Smith, R. Kent 42 1997 Global approximate Newton methods. Zbl 0442.65034Bank, R. E.; Rose, D. J. 40 1981 Numerical methods for semiconductor device simulation. Zbl 0521.65086Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang 36 1983 A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106Bank, Randolph E.; Welfert, Bruno D. 33 1990 Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051Bank, Randolph E.; Rose, Donald J. 31 1977 An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058Bank, R. E.; Sherman, A. H. 29 1981 An algorithm for coarsening unstructured meshes. Zbl 0857.65034Bank, Randolph E.; Xu, Jinchao 28 1996 On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062Bank, Randolph E.; Scott, L. Ridgway 28 1989 A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110Bank, Randolph E.; Holst, Michael 26 2000 Analysis of some moving space-time finite element methods. Zbl 0770.65060Bank, Randolph E.; Santos, Rafael F. 25 1993 Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052Bank, Randolph E. 25 1977 Some upwinding techniques for finite element approximations of convection-diffusion equations. Zbl 0713.65066Bank, 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 0471.65074Bank, Randolph E. 24 1981 Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091Bank, Randolph E.; Xu, Jinchao; Zheng, Bin 23 2007 PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074Bank, Randolph E.; Chan, Tony F. 23 1986 Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060Bank, Randolph E.; Rose, Donald J. 22 1982 An analysis of the composite step biconjugate gradient method. Zbl 0802.65038Bank, Randolph E.; Chan, Tony F. 21 1993 A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104Bank, Randolph E.; Holst, Michael 20 2003 A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025Bank, Randolph E.; Chan, Tony F. 18 1994 The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084Bank, 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 0732.65100Bank, Randolph E.; Welfert, Bruno D. 18 1990 PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113Bank, Randolph E. 17 1994 Multilevel ILU decomposition. Zbl 0938.65063Bank, Randolph E.; Wagner, Christian 17 1999 PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500Bank, Randolph E. 16 1998 Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139Bank, 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 1008.65503Bank, Randolph E.; Jimack, Peter K. 14 2001 An algebraic multilevel multigraph algorithm. Zbl 1006.65027Bank, Randolph E.; Smith, R. Kent 12 2002 Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057Bank, R. E.; Rose, D. J. 12 1980 The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097Bank, 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 1262.65162Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey S. 11 2013 Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169Bank, 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 0319.65029Bank, Randolph E.; Rose, Donald J. 10 1975 Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085Liu, 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 1380.65358Bank, Randolph E.; Nguyen, Hieu 8 2011 The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103Bank, Randolph E.; Xu, Jinchao 7 1994 An automatic scaling procedure for a D’yakonov-Gunn iteration scheme. Zbl 0426.65056Bank, Randolph E. 7 1979 Semiconductor device simulation. Zbl 0521.65085Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E. 7 1983 The incomplete factorization multigraph algorithm. Zbl 0931.65021Bank, Randolph E.; Smith, R. Kent 6 1999 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 6 2013 Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids. Zbl 1434.65236Bank, Randolph E.; Li, Yuwen 6 2019 Kernel preserving multigrid methods for convection-diffusion equations. Zbl 1102.65124Bank, Randolph E.; Wan, Justin W. L.; Qu, Zhenpeng 6 2006 The efficient implementation of local mesh refinement algorithms. Zbl 0534.65079Bank, Randolph E. 6 1983 Sparse matrix multiplication package (SMMP). Zbl 0824.65024Bank, Randolph E.; Douglas, Craig C. 5 1993 A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155Bank, Randolph E.; Yserentant, Harry 5 2015 Some aspects of semiconductor device simulation. Zbl 0677.65125Smith, 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 0368.65052Bank, Randolph E. 5 1978 General sparse elimination requires no permanent integer storage. Zbl 0622.65021Bank, Randolph E.; Smith, R. Kent 5 1987 The hierarchical basis multigrid method for convection-diffusion equations. Zbl 0757.65120Bank, Randolph E.; Benbourenane, Mohamed 4 1992 A hierarchical basis multigrid method for unstructured grids. Zbl 0874.65091Bank, Randolph E.; Xu, Jinchao 4 1995 A simple analysis of some a posteriori error estimates. Zbl 0896.65072Bank, Randolph E. 4 1998 Continuation and multi-grid for nonlinear elliptic systems. Zbl 0605.65066Bank, R. E.; Mittelmann, H. D. 4 1986 A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations. Zbl 1013.65139Bank, Randolph E.; Jimack, Peter K.; Nadeem, Sarfraz A.; Nepomnyaschikh, Sergei V. 3 2002 Domain decomposition and \(hp\)-adaptive finite elements. Zbl 1217.65217Bank, Randolph E.; Nguyen, Hieu 3 2011 Analysis of a multilevel inverse iteration procedure for eigenvalue problems. Zbl 0494.65063Bank, Randolph E. 3 1982 Stepsize selection in continuation procedures and damped Newton’s method. Zbl 0675.65047Bank, Randolph E.; Mittelmann, Hans D. 3 1989 A domain decomposition solver for a parallel adaptive meshing paradigm. Zbl 1077.65128Bank, Randolph E.; Lu, Shaoying 3 2004 An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247Bank, Randolph E.; Metti, Maximilian S. 3 2013 Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059Bank, 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 0766.65056Bank, 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 1280.65123Bank, Randolph E.; Nguyen, Hieu 2 2013 Algorithmic aspects of the multi-level solution of finite element equations. Zbl 0407.65049Bank, Randolph E.; Sherman, A. H. 2 1979 The use of adaptive grid refinement for badly behaved elliptic partial differential equations. Zbl 0434.35008Bank, Randolph E.; Sherman, Andrew H. 2 1980 A multi-level iterative method for nonlinear elliptic equations. Zbl 0467.65054Bank, Randolph E. 2 1981 Dual functions for a parallel adaptive method. Zbl 1151.65087Bank, Randolph E.; Ovall, Jeffrey S. 2 2007 Some remarks on interpolation and best approximation. Zbl 1375.65149Bank, 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 0701.65018Bank, Randolph E.; Rose, Donald J. 1 1990 Marching algorithms and block Gaussian elimination. Zbl 0345.65016Bank, 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 1063.65049Bank, 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 0926.65125Bank, Randolph E.; Gutsch, Sabine 1 1998 A-posteriori error estimates, adaptive local mesh refinement and multigrid iteration. Zbl 0619.65092Bank, Randolph E. 1 1986 Compatible coarsening in the multigraph algorithm. Zbl 1137.65335Bank, Randolph E. 1 2007 Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids. Zbl 1434.65236Bank, Randolph E.; Li, Yuwen 6 2019 Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 15 2017 Some remarks on interpolation and best approximation. Zbl 1375.65149Bank, Randolph E.; Ovall, Jeffrey S. 2 2017 Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169Bank, 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 1332.65155Bank, Randolph E.; Yserentant, Harry 5 2015 On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068Bank, Randolph E.; Yserentant, Harry 49 2014 A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement. Zbl 1262.65162Bank, Randolph E.; Grubišić, Luka; Ovall, Jeffrey S. 11 2013 Saturation estimates for \(hp\)-finite element methods. Zbl 1380.65359Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan 6 2013 An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247Bank, Randolph E.; Metti, Maximilian S. 3 2013 A parallel \(hp\)-adaptive finite element method. Zbl 1280.65123Bank, 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 1380.65358Bank, Randolph E.; Nguyen, Hieu 8 2011 Domain decomposition and \(hp\)-adaptive finite elements. Zbl 1217.65217Bank, Randolph E.; Nguyen, Hieu 3 2011 Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091Bank, Randolph E.; Xu, Jinchao; Zheng, Bin 23 2007 Dual functions for a parallel adaptive method. Zbl 1151.65087Bank, Randolph E.; Ovall, Jeffrey S. 2 2007 Compatible coarsening in the multigraph algorithm. Zbl 1137.65335Bank, Randolph E. 1 2007 Kernel preserving multigrid methods for convection-diffusion equations. Zbl 1102.65124Bank, Randolph E.; Wan, Justin W. L.; Qu, Zhenpeng 6 2006 A domain decomposition solver for a parallel adaptive meshing paradigm. Zbl 1077.65128Bank, Randolph E.; Lu, Shaoying 3 2004 Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116Bank, Randolph E.; Xu, Jinchao 89 2003 Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117Bank, Randolph E.; Xu, Jinchao 53 2003 A new paradigm for parallel adaptive meshing algorithms. Zbl 1028.65104Bank, Randolph E.; Holst, Michael 20 2003 Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085Liu, Yingjie; Bank, Randolph E.; Dupont, Todd F.; Garcia, Sonia; Santos, Rafael F. 10 2003 Interior methods for a class of elliptic variational inequalities. Zbl 1063.65049Bank, Randolph E.; Gill, Philip E.; Marcia, Roummel F. 1 2003 An algebraic multilevel multigraph algorithm. Zbl 1006.65027Bank, Randolph E.; Smith, R. Kent 12 2002 A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations. Zbl 1013.65139Bank, 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 1008.65503Bank, Randolph E.; Jimack, Peter K. 14 2001 A new paradigm for parallel adaptive meshing algorithms. Zbl 0979.65110Bank, Randolph E.; Holst, Michael 26 2000 Multilevel ILU decomposition. Zbl 0938.65063Bank, Randolph E.; Wagner, Christian 17 1999 The incomplete factorization multigraph algorithm. Zbl 0931.65021Bank, Randolph E.; Smith, R. Kent 6 1999 The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084Bank, 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 0990.65500Bank, Randolph E. 16 1998 A simple analysis of some a posteriori error estimates. Zbl 0896.65072Bank, Randolph E. 4 1998 The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid. Zbl 0926.65125Bank, Randolph E.; Gutsch, Sabine 1 1998 Mesh smoothing using a posteriori error estimates. Zbl 0873.65092Bank, Randolph E.; Smith, R. Kent 42 1997 Hierarchical bases and the finite element method. Zbl 0865.65078Bank, Randolph E. 60 1996 An algorithm for coarsening unstructured meshes. Zbl 0857.65034Bank, Randolph E.; Xu, Jinchao 28 1996 A hierarchical basis multigrid method for unstructured grids. Zbl 0874.65091Bank, Randolph E.; Xu, Jinchao 4 1995 A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0809.65025Bank, Randolph E.; Chan, Tony F. 18 1994 PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 7.0. Zbl 0860.65113Bank, Randolph E. 17 1994 The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103Bank, 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 0787.65078Bank, Randolph E.; Smith, R. Kent 113 1993 Analysis of some moving space-time finite element methods. Zbl 0770.65060Bank, Randolph E.; Santos, Rafael F. 25 1993 An analysis of the composite step biconjugate gradient method. Zbl 0802.65038Bank, Randolph E.; Chan, Tony F. 21 1993 Sparse matrix multiplication package (SMMP). Zbl 0824.65024Bank, Randolph E.; Douglas, Craig C. 5 1993 The hierarchical basis multigrid method for convection-diffusion equations. Zbl 0757.65120Bank, Randolph E.; Benbourenane, Mohamed 4 1992 A posteriori error estimates for the Stokes problem. Zbl 0731.76040Bank, Randolph E.; Welfert, Bruno D. 55 1991 A Fourier analysis of the two-level hierarchical basis multigrid method for convection-diffusion equations. Zbl 0766.65056Bank, Randolph E.; Benbourenane, Mohamed 2 1991 A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 79 1990 PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001Bank, Randolph E. 45 1990 A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106Bank, Randolph E.; Welfert, Bruno D. 33 1990 Some upwinding techniques for finite element approximations of convection-diffusion equations. Zbl 0713.65066Bank, 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 0732.65100Bank, 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 0701.65018Bank, Randolph E.; Rose, Donald J. 1 1990 On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062Bank, Randolph E.; Scott, L. Ridgway 28 1989 The alternate-block-factorization procedure for systems of partial differential equations. Zbl 0715.65097Bank, 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 0675.65047Bank, Randolph E.; Mittelmann, Hans D. 3 1989 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 Some error estimates for the box method. Zbl 0634.65105Bank, Randolph E.; Rose, Donald J. 216 1987 Multigrid methods. Zbl 0659.65094 50 1987 General sparse elimination requires no permanent integer storage. Zbl 0622.65021Bank, Randolph E.; Smith, R. Kent 5 1987 PLTMGC: A multi-grid continuation program for parameterized nonlinear elliptic systems. Zbl 0589.65074Bank, Randolph E.; Chan, Tony F. 23 1986 Some aspects of semiconductor device simulation. Zbl 0677.65125Smith, 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 0605.65066Bank, R. E.; Mittelmann, H. D. 4 1986 A-posteriori error estimates, adaptive local mesh refinement and multigrid iteration. Zbl 0619.65092Bank, Randolph E. 1 1986 Some a posteriori error estimators for elliptic partial differential equations. Zbl 0569.65079Bank, R. E.; Weiser, A. 277 1985 Sharp estimates for multigrid rates of convergence with general smoothing and acceleration. Zbl 0578.65025Bank, Randolph E.; Douglas, Craig C. 43 1985 Numerical methods for semiconductor device simulation. Zbl 0521.65086Bank, Randolph E.; Rose, Donald J.; Fichtner, Wolfgang 36 1983 Semiconductor device simulation. Zbl 0521.65085Fichtner, Wolfgang; Rose, Donald J.; Bank, Randolph E. 7 1983 The efficient implementation of local mesh refinement algorithms. Zbl 0534.65079Bank, Randolph E. 6 1983 Analysis of a multilevel iterative method for nonlinear finite element equations. Zbl 0496.65060Bank, Randolph E.; Rose, Donald J. 22 1982 Analysis of a multilevel inverse iteration procedure for eigenvalue problems. Zbl 0494.65063Bank, Randolph E. 3 1982 Analytical and numerical aspects of semiconductor device modeling. Zbl 0505.65059Bank, Randolph E.; Jerome, Joseph W.; Rose, Donald J. 3 1982 An optimal order process for solving finite element equations. Zbl 0466.65059Bank, Randolph E.; Dupont, Todd 122 1981 Global approximate Newton methods. Zbl 0442.65034Bank, R. E.; Rose, D. J. 40 1981 An adaptive, multi-level method for elliptic boundary value problems. Zbl 0466.65058Bank, R. E.; Sherman, A. H. 29 1981 A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations. Zbl 0471.65074Bank, Randolph E. 24 1981 A multi-level iterative method for nonlinear elliptic equations. Zbl 0467.65054Bank, Randolph E. 2 1981 Parameter selection for Newton-like methods applicable to nonlinear partial differential equations. Zbl 0466.65057Bank, R. E.; Rose, D. J. 12 1980 The use of adaptive grid refinement for badly behaved elliptic partial differential equations. Zbl 0434.35008Bank, Randolph E.; Sherman, Andrew H. 2 1980 An automatic scaling procedure for a D’yakonov-Gunn iteration scheme. Zbl 0426.65056Bank, Randolph E. 7 1979 Algorithmic aspects of the multi-level solution of finite element equations. Zbl 0407.65049Bank, Randolph E.; Sherman, A. H. 2 1979 Efficient algorithms for solving tensor product finite element equations. Zbl 0368.65052Bank, Randolph E. 5 1978 Marching algorithms for elliptic boundary value problems. I: The constant coefficient case. Zbl 0382.65051Bank, Randolph E.; Rose, Donald J. 31 1977 Marching algorithms for elliptic boundary value problems. II: The variable coefficient case. Zbl 0382.65052Bank, Randolph E. 25 1977 Marching algorithms and block Gaussian elimination. Zbl 0345.65016Bank, Randolph E. 1 1976 An \(O(n^2)\) method for solving constant coefficient boundary value problems in two dimensions. Zbl 0319.65029Bank, Randolph E.; Rose, Donald J. 10 1975 all cited Publications top 5 cited Publications 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