World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
8741
World Ranking
1883
National Ranking
802

Engineering and Technology

D-Index
42
Citations
8960
World Ranking
6430
National Ranking
1766

Research.com Recognitions

  • 2013 - SIAM Fellow For contributions to multilevel iterative methods and adaptive numerical methods for partial differential equations.

Overview

Randolph E. Bank is affiliated with the University of California, San Diego in the United States. Their research spans multiple fields, including Engineering, Computer Science, and Physics and Astronomy, reflecting an interdisciplinary approach to scientific inquiry.

Their work covers several specialized subfields such as Computational Mechanics, Computer Networks and Communications, and Atomic and Molecular Physics, and Optics. These subfields connect to broader topics addressed by their research efforts, particularly Advanced Numerical Methods in Computational Mathematics, Distributed and Parallel Computing Systems, and Electromagnetic Scattering and Analysis.

One notable recent publication by Randolph E. Bank is titled A Semi-Algebraic Two Level Solver, published in 2021 in the International Journal of Computing and Visualization in Science and Engineering. This journal is also the primary venue for their scholarly articles. The paper contributes to the literature in computational and visualization sciences.

  • Advanced Numerical Methods in Computational Mathematics
  • Distributed and Parallel Computing Systems
  • Electromagnetic Scattering and Analysis

  • A Semi-Algebraic Two Level Solver, 2021, International Journal of Computing and Visualization in Science and Engineering

  • Robert D. Falgout

  • International Journal of Computing and Visualization in Science and Engineering

Randolph E. Bank's contributions to scientific computing have been formally recognized through the award of SIAM Fellow in 2013. The award citation notes their work on multilevel iterative methods and adaptive numerical methods for partial differential equations.

Best Publications

  • Some a posteriori error estimators for elliptic partial differential equations

    R. E. Bank;A. Weiser

  • An optimal order process for solving finite element equations

    Randolph E. Bank;Todd Dupont

  • Some errors estimates for the box method

    Randolph E. Bank;Donald J. Rose

  • The hierarchical basis multigrid method

    Randolph E. Bank;Todd F. Dupont;Harry Yserentant

  • A posteriori error estimates based on hierarchical bases

    Randolph E. Bank;R. Kent Smith

  • Global approximate Newton methods

    R. E. Bank;D. J. Rose

  • A class of iterative methods for solving saddle point problems

    Randolph E. Bank;Bruno D. Welfert;Harry Yserentant

  • Hierarchical bases and the finite element method

    Randolph E. Bank

  • Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

    Randolph E. Bank;Jinchao Xu

  • A New Paradigm for Parallel Adaptive Meshing Algorithms

    Randolph E. Bank;Michael Holst

  • Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration

    Randolph E. Bank;Craig C. Douglas

  • Mesh Smoothing Using A Posteriori Error Estimates

    Randolph E. Bank;R. Kent Smith

  • Semiconductor device simulation

    W. Fichtner;D.J. Rose;R.E. Bank

  • A posteriori error estimates for the Stokes problem

    Randolph E. Bank;Bruno D. Welfert

  • Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids

    Randolph E. Bank;Jinchao Xu

  • An algorithm for coarsening unstructured meshes

    Randolph E. Bank;Jinchao Xu

  • Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case

    Randolph E. Bank;Donald J. Rose

  • Analysis of a multilevel iterative method for nonlinear finite element equations

    Randolph E. Bank;Donald J. Rose

  • Parameter Selection for Newton-Like Methods Applicable to Nonlinear Partial Differential Equations

    R. E. Bank;D. J. Rose

  • An adaptive, multi-level method for elliptic boundary value problems

    Randolph E. Bank;Andrew H. Sherman

Frequent Co-Authors

Jinchao Xu
Jinchao Xu Pennsylvania State University
Michael Holst
Michael Holst University of California, San Diego
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Panayot S. Vassilevski
Panayot S. Vassilevski Lawrence Livermore National Laboratory
Todd Dupont
Todd Dupont University of Chicago
Philip E. Gill
Philip E. Gill University of California, San Diego
Robert D. Falgout
Robert D. Falgout Lawrence Livermore National Laboratory
Andrew D. McCulloch
Andrew D. McCulloch University of California, San Diego
Steven Constable
Steven Constable University of California, San Diego

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