Randolph E. Bank - Publications

Affiliations: 
University of California, San Diego, La Jolla, CA 
Area:
Mathematics, Computer Science

79 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Bank RE, Li Y. Superconvergent Recovery of Raviart–Thomas Mixed Finite Elements on Triangular Grids Journal of Scientific Computing. 81: 1882-1905. DOI: 10.1007/S10915-019-01068-0  0.54
2019 Bank RE, Yserentant H. On the convergence of adaptive feedback loops Computing and Visualization in Science. 20: 59-70. DOI: 10.1007/S00791-019-00310-4  0.504
2019 Bank RE. A two level solver for $$h{-}p$$ adaptive finite element equations Computing and Visualization in Science. 20: 51-57. DOI: 10.1007/S00791-017-0280-Z  0.549
2017 Bank RE, Deotte C. Adventures in adaptivity Computing and Visualization in Science. 18: 79-91. DOI: 10.1007/S00791-016-0272-4  0.534
2017 Bank RE, Deotte C. The influence of partitioning on Domain Decomposition convergence rates Computing and Visualization in Science. 18: 53-63. DOI: 10.1007/S00791-016-0271-5  0.427
2017 Bank RE, Ovall JS. Some remarks on interpolation and best approximation Numerische Mathematik. 137: 289-302. DOI: 10.1007/S00211-017-0877-7  0.764
2016 Bank RE, Vassilevski PS, Zikatanov LT. Arbitrary dimension convection-diffusion schemes for space-time discretizations Journal of Computational and Applied Mathematics. DOI: 10.1016/J.Cam.2016.04.029  0.436
2015 Bank R, Falgout R, Jones T, Manteuffel TA, Mccormick SF, Ruge JW. Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD) Siam Journal On Scientific Computing. 37: S113-S1436. DOI: 10.1137/140974717  0.405
2015 Bank RE, Metti MS. An error analysis of some higher order space-time moving finite elements Computing and Visualization in Science. DOI: 10.1007/S00791-015-0235-1  0.653
2015 Bank RE, Parsania A, Sauter S. Saturation estimates for hp-finite element methods Computing and Visualization in Science. DOI: 10.1007/S00791-015-0234-2  0.602
2014 Bank RE, Yserentant H. A note on interpolation, best approximation, and the saturation property Numerische Mathematik. 131: 199-203. DOI: 10.1007/S00211-014-0687-0  0.53
2014 Bank RE, Yserentant H. On the H1-stability of the L2-projection onto finite element spaces Numerische Mathematik. 126: 361-381. DOI: 10.1007/S00211-013-0562-4  0.46
2013 Bank RE, Grubišić L, Ovall JS. A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement Applied Numerical Mathematics. 66: 1-29. DOI: 10.1016/J.Apnum.2012.11.004  0.758
2013 Bank RE, Nguyen H. Mesh Regularization in Bank-Holst Parallel hp-Adaptive Meshing Lecture Notes in Computational Science and Engineering. 91: 103-110. DOI: 10.1007/978-3-642-35275-1_10  0.308
2011 Van Beusekom AE, Parker RL, Bank RE, Gill PE, Constable S. The 2-D magnetotelluric inverse problem solved with optimization Geophysical Journal International. 184: 639-650. DOI: 10.1111/J.1365-246X.2010.04895.X  0.385
2011 Bank RE, Nguyen H. hp Adaptive finite elements based on derivative recovery and superconvergence Computing and Visualization in Science. 14: 287-299. DOI: 10.1007/S00791-012-0179-7  0.528
2010 Bank RE, Yserentant H. Multigrid convergence: A brief trip down memory lane Computing and Visualization in Science. 13: 147-152. DOI: 10.1007/S00791-010-0133-5  0.313
2010 Bank RE, Nguyen H. Domain decomposition and Hp-adaptive finite elements Lecture Notes in Computational Science and Engineering. 78: 3-13. DOI: 10.1007/978-3-642-11304-8_1  0.502
2009 Lu S, Michailova A, Saucerman J, Cheng Y, Yu Z, Kaiser T, Li W, Bank R, Holst M, McCammon J, Hayashi T, Hoshijima M, Arzberger P, McCulloch A. Multiscale modeling in rodent ventricular myocytes. Ieee Engineering in Medicine and Biology Magazine : the Quarterly Magazine of the Engineering in Medicine & Biology Society. 28: 46-57. PMID 19349251 DOI: 10.1109/Memb.2009.931787  0.462
2008 Bank RE, Vassilevski PS. Convergence analysis of a domain decomposition paradigm Computing and Visualization in Science. 11: 333-350. DOI: 10.1007/S00791-008-0103-3  0.399
2007 Bank RE. A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigm Lecture Notes in Computational Science and Engineering. 55: 3-14. DOI: 10.1137/S1064827503428096  0.385
2007 Bank RE, Xu J, Zheng B. Superconvergent derivative recovery for lagrange triangular elements of degree p on unstructured grids Siam Journal On Numerical Analysis. 45: 2032-2046. DOI: 10.1137/060675174  0.548
2007 Bank RE, Ovall JS. Dual functions for a parallel adaptive method Siam Journal On Scientific Computing. 29: 1511-1524. DOI: 10.1137/060668304  0.738
2007 Bank RE. Compatible coarsening in the multigraph algorithm Advances in Engineering Software. 38: 287-294. DOI: 10.1016/J.Advengsoft.2006.08.006  0.409
2006 Bank RE, Wan JWL, Zhenpeng Q. Kernel preserving multigrid methods for convection-diffusion equations Siam Journal On Matrix Analysis and Applications. 27: 1150-1171. DOI: 10.1137/040619533  0.333
2006 Bank RE. Some variants of the Bank-Holst parallel adaptive meshing paradigm Computing and Visualization in Science. 9: 133-144. DOI: 10.1007/S00791-006-0029-6  0.407
2003 Bank RE, Holst M. A New Paradigm for Parallel Adaptive Meshing Algorithms Siam Review. 45: 291-323. DOI: 10.1137/S003614450342061  0.492
2003 Bank RE, Xu J. Asymptotically exact a posteriori error estimators, part II: General unstructured grids Siam Journal On Numerical Analysis. 41: 2313-2332. DOI: 10.1137/S0036142901398751  0.602
2003 Bank RE, Jinchao XU. Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence Siam Journal On Numerical Analysis. 41: 2294-2312. DOI: 10.1137/S003614290139874X  0.529
2003 Zhou C, Bank RE. Parallel adaptive finite element algorithm Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics. 20: 559-563.  0.55
2002 Bank RE, Jimack PK, Nadeem SA, Nepomnyaschikh SV. A weakly overlapping domain decomposition preconditioner for the finite element solution of elliptic partial differential equations Siam Journal On Scientific Computing. 23: 1817-1841. DOI: 10.1137/S1064827501361425  0.549
2002 Bank RE, Smith RK. An algebraic multilevel multigraph algorithm Siam Journal On Scientific Computing. 23: 1572-1592. DOI: 10.1137/S1064827500381045  0.336
2002 Liu Y, Bank RE, Dupont TF, Garcia S, Santos RF. Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations Siam Journal On Numerical Analysis. 40: 2270-2291. DOI: 10.1137/S003614290038073X  0.508
2001 Bank RE, Holst M. A new paradigm for parallel adaptive meshing algorithms Siam Journal On Scientific Computing. 22: 1411-1443. DOI: 10.1137/S1064827599353701  0.485
2001 Bank RE, Jimack PK. A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations Concurrency Computation Practice and Experience. 13: 327-350. DOI: 10.1002/Cpe.569  0.533
1999 Bank RE, Smith RK. Incomplete factorization multigraph algorithm Siam Journal On Scientific Computing. 20: 1349-1364. DOI: 10.1137/S1064827597319520  0.356
1999 Bank RE, Wagner C. Multilevel ILU decomposition Numerische Mathematik. 82: 543-576. DOI: 10.1007/S002110050430  0.472
1998 Bank RE. A simple analysis of some a posteriori error estimates Applied Numerical Mathematics. 26: 153-164. DOI: 10.1016/S0168-9274(97)00081-0  0.502
1998 Bank RE, Coughran WM, Cowsar LC. The Finite Volume Scharfetter-Gummel method for steady convection diffusion equations Computing and Visualization in Science. 1: 123-136. DOI: 10.1007/S007910050012  0.558
1998 Bank RE, Gutsch S. An algebraic approach to the HBMG method for unstructured grids Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 78: 863-864. DOI: 10.1002/Zamm.19980781506  0.441
1997 Bank RE, Kent Smith R. Mesh Smoothing Using A Posteriori Error Estimates Siam Journal On Numerical Analysis. 34: 979-997. DOI: 10.1137/S0036142994265292  0.584
1996 Bank RE. Hierarchical bases and the finite element method Acta Numerica. 5: 1-43. DOI: 10.1017/S0962492900002610  0.615
1996 Bank RE, Xu J. An algorithm for coarsening unstructured meshes Numerische Mathematik. 73: 1-36. DOI: 10.1007/S002110050181  0.565
1996 Bank RE, Xu J. An algorithm for coarsening unstructured meshes Numerische Mathematik. 73: 1-36.  0.486
1994 Bank RE, Chan TF. A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems Numerical Algorithms. 7: 1-16. DOI: 10.1007/Bf02141258  0.377
1993 Bank RE, Smith RK. A posteriori error estimates based on hierarchical bases Siam Journal On Numerical Analysis. 30: 921-935. DOI: 10.1137/0730048  0.442
1993 Bank RE, Santos RF. Analysis of some moving space-time finite element methods Siam Journal On Numerical Analysis. 30: 1-18. DOI: 10.1137/0730001  0.61
1993 Bank RE, Chan TF. An analysis of the composite step biconjugate gradient method Numerische Mathematik. 66: 295-319. DOI: 10.1007/Bf01385699  0.461
1992 Bank RE, Benbourenane M. The hierarchical basis multigrid method for convection-diffusion equations Numerische Mathematik. 61: 7-37. DOI: 10.1007/Bf01385495  0.489
1991 Bank RE, Welfert BD. A posteriori error estimates for the Stokes problem Siam Journal On Numerical Analysis. 28: 591-623. DOI: 10.1137/0728033  0.586
1990 Bank RE, Welfert BD. A posteriori error estimates for the Stokes equations: A comparison Computer Methods in Applied Mechanics and Engineering. 82: 323-340. DOI: 10.1016/0045-7825(90)90170-Q  0.489
1990 Bank RE, Welfert BD. A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem Computer Methods in Applied Mechanics and Engineering. 83: 61-68. DOI: 10.1016/0045-7825(90)90124-5  0.498
1990 Bank RE, Bürgler JF, Fichtner W, Smith RK. Some upwinding techniques for finite element approximations of convection-diffusion equations Numerische Mathematik. 58: 185-202. DOI: 10.1007/Bf01385618  0.469
1989 Bank RE, Scott LR. On the conditioning of finite element equations with highly refined meshes Siam Journal On Numerical Analysis. 26: 1383-1394. DOI: 10.1137/0726080  0.511
1989 Burgler JF, Bank RE, Fichtner W, Smith RK. A New Discretization Scheme for the Semiconductor Current Continuity Equations Ieee Transactions On Computer-Aided Design of Integrated Circuits and Systems. 8: 479-489. DOI: 10.1109/43.24876  0.511
1989 Bank RE, Mittelmann HD. Stepsize selection in continuation procedures and damped Newton's method Journal of Computational and Applied Mathematics. 26: 67-77. DOI: 10.1016/0377-0427(89)90148-9  0.361
1989 Bank RE, Coughran WM, Driscoll MA, Smith RK, Fichtner W. Iterative methods in semiconductor device simulation Computer Physics Communications. 53: 201-212. DOI: 10.1016/0010-4655(89)90160-4  0.382
1989 Bank RE, Chan TF, Coughran WM, Smith RK. The alternate-block-factorization procedure for systems of partial differential equations Bit. 29: 938-954. DOI: 10.1007/Bf01932753  0.421
1989 Bank RE, Welfert BD, Yserentant H. A class of iterative methods for solving saddle point problems Numerische Mathematik. 56: 645-666. DOI: 10.1007/Bf01405194  0.552
1988 Bank RE, Dupont TF, Yserentant H. The hierarchical basis multigrid method Numerische Mathematik. 52: 427-458. DOI: 10.1007/Bf01462238  0.538
1987 Bank RE, Smith RK. General sparse elimination requires no permanent integer storage Siam Journal On Scientific and Statistical Computing. 8: 574-584. DOI: 10.1137/0908052  0.365
1987 Bank RE, Rose DJ. Some errors estimates for the box method Siam Journal On Numerical Analysis. 24: 777-787. DOI: 10.1137/0724050  0.58
1986 Bank RE, Chan TF. PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems Siam Journal On Scientific and Statistical Computing. 7: 540-559. DOI: 10.1137/0907036  0.402
1985 Bank RE, Douglas CC. Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration Siam Journal On Numerical Analysis. 22: 617-633. DOI: 10.1137/0722038  0.548
1985 Bank RE, Weiser A. Some a posteriori error estimators for elliptic partial differential equations Mathematics of Computation. 44: 283-301. DOI: 10.1090/S0025-5718-1985-0777265-X  0.531
1985 Bank RE, Douglas CC. An efficient implementation for SSOR and incomplete factorization preconditionings Applied Numerical Mathematics. 1: 489-492. DOI: 10.1016/0168-9274(85)90033-9  0.34
1982 Bank RE. Analysis Of A Multilevel Inverse Iteration Procedure For Eigenvalue Problems Siam Journal On Numerical Analysis. 19: 886-898. DOI: 10.1137/0719064  0.425
1982 Bank RE, Rose DJ. Analysis of a multilevel iterative method for nonlinear finite element equations Mathematics of Computation. 39: 453-465. DOI: 10.1090/S0025-5718-1982-0669639-X  0.466
1981 Bank RE. A Comparison of Two Multilevel Iterative Methods for Nonsymmetric and Indefinite Elliptic Finite Element Equations Siam Journal On Numerical Analysis. 18: 724-743. DOI: 10.1137/0718048  0.592
1981 Bank RE, Dupont T. An optimal order process for solving finite element equations Mathematics of Computation. 36: 35-52. DOI: 10.1090/S0025-5718-1981-0595040-2  0.559
1981 Bank RE, Sherman AH. An adaptive, multi-level method for elliptic boundary value problems Computing. 26: 91-105. DOI: 10.1007/Bf02241777  0.512
1981 Bank RE, Rose DJ. Global approximate Newton methods Numerische Mathematik. 37: 279-295. DOI: 10.1007/Bf01398257  0.403
1980 Bank RE, Rose DJ. Parameter Selection for Newton-Like Methods Applicable to Nonlinear Partial Differential Equations Siam Journal On Numerical Analysis. 17: 806-822. DOI: 10.1137/0717068  0.37
1980 Bank RE, Sherman AH. The use of adaptive grid refinement for badly behaved elliptic partial differential equations Mathematics and Computers in Simulation. 22: 18-24. DOI: 10.1016/0378-4754(80)90098-1  0.422
1979 Bank RE. An automatic scaling procedure for a D'Yakanov-Gunn iteration scheme Linear Algebra and Its Applications. 28: 17-33. DOI: 10.1016/0024-3795(79)90114-9  0.39
1979 Bank RE, Sherman AH. A multi-level iterative method for solving finite element equations 0.473
1978 Bank RE. Efficient algorithms for solving tensor product finite element equations Numerische Mathematik. 31: 49-61. DOI: 10.1007/Bf01396013  0.549
1977 Bank RE. Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case Siam Journal On Numerical Analysis. 14: 950-970. DOI: 10.1137/0714064  0.345
1977 Bank RE, Rose DJ. Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case Siam Journal On Numerical Analysis. 14: 792-829. DOI: 10.1137/0714055  0.374
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