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Mathematics

D-Index
62
Citations
13746
World Ranking
482
National Ranking
250

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions to numerical analysis of domain decompositions within computational mathematics and for incubation through his writing and mentorship of a broad international, creative community of practice applied to highly resolved systems simulations.
  • 2010 - SIAM Fellow For contributions to the theory of domain decomposition methods.

Overview

Olof B. Widlund is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans the fields of Engineering and Computer Science, with specific contributions to computational mechanics, numerical analysis, and computational theory and mathematics. The scientist's work emphasizes advanced numerical methods and analysis techniques as applied to engineering problems.

Their main research topics include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Numerical Analysis Techniques
  • Numerical methods in engineering
  • Polynomial and algebraic computation
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Simulation and Numerical Methods
  • Matrix Theory and Algorithms

Widlund has published in several prominent venues, including:

  • SIAM Journal on Scientific Computing
  • Mathematics of Computation
  • Contemporary Mathematics - American Mathematical Society

Recent significant papers authored or coauthored by Widlund are:

  • "Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods" (2022), SIAM Journal on Scientific Computing
  • "Block FETI-DP/BDDC Preconditioners for Mixed Isogeometric Discretizations of Three-Dimensional Almost Incompressible Elasticity" (2021), Mathematics of Computation
  • "BDDC Domain Decomposition Algorithms" (2020), Contemporary Mathematics - American Mathematical Society
  • "BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis" (2022), SIAM Journal on Scientific Computing

Frequent coauthors collaborating with Widlund have included:

  • Simone Scacchi
  • Luca F. Pavarino
  • Stefano Zampini
  • Alexander Heinlein
  • Axel Klawonn

The scientist's work is associated with numerically intensive methods in computational mechanics and domain decomposition techniques, which are reflected in their publication record and collaborations. Their contributions have also been recognized through awards such as:

  • Fellow of the American Mathematical Society (2019) for contributions to numerical analysis of domain decompositions and mentorship within the computational mathematics community
  • SIAM Fellow (2010) for contributions to the theory of domain decomposition methods

Best Publications

  • Domain decomposition methods : algorithms and theory

    Andrea Toselli;Olof B. Widlund

  • Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned Into Substructures

    Petter E Bjorstad;Olof B Widlund

  • Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions

    Maksymilian Dryja;Barry F. Smith;Olof B. Widlund

  • Dual-Primal FETI Methods for Three-dimensional Elliptic Problems with Heterogeneous Coefficients

    Axel Klawonn;Olof B. Widlund;Maksymilian Dryja

  • Domain decomposition algorithms with small overlap

    Maksymilian Dryja;Olof B. Widlund

  • An Additive Variant of the Schwarz Alternating Method for the Case of Many Subregions

    Olof Widlund;M Dryja

  • FETI and Neumann--Neumann Iterative Substructuring Methods: Connections and New Results

    A. Klawonn;O. Widlund

  • Multilevel Schwarz Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions

    M. Dryja;M. Sarkis;O. Widlund

  • Dual‐primal FETI methods for linear elasticity

    Axel Klawonn;Olof B. Widlund

  • Towards a unified theory of domain decomposition algorithms for elliptic problems

    Olof Widlund;Maksymilian Dryja

  • FETI‐DP, BDDC, and block Cholesky methods

    Jing Li;Olof B. Widlund

  • Iterative solution of elliptic systems : and applications to the neutron diffusion equations of reactor physics

    Olof Widlund;Eugene L. Wachspress

  • A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations

    Olof Widlund

  • Schwarz Methods of Neumann-Neumann Type for Three-Dimensional Elliptic Finite Element Problems

    M. Dryja;O. Widlund

  • Domain Decomposition Algorithms for Indefinite Elliptic Problems

    Xiao-Chuan Cai;Olof B. Widlund

  • Some domain decomposition algorithms for elliptic problems

    M. Dryja;Olof B. Widlund

  • Domain Decomposition Methods

    Tony F. Chan;Roland Glowinski;Jacques Periaux

  • On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method

    Wlodzimierz Proskurowski;Olof Widlund

  • Domain Decomposition Methods in Science and Engineering

    Alfio Quarteroni;Jacques Périaux;Yuri A. Kuznetsov;Olof B. Widlund

  • Balancing Neumann-Neumann Methods for Incompressible Stokes Equations

    Luca Pavarino;Olof Widlund

  • ITERATIVE SUBSTRUCTURING ALGORITHMS FOR ELLIPTIC PROBLEMS IN THREE DIMENSIONS

    Barry F. SMITHt;Olof B. Widlund

Frequent Co-Authors

Luca F. Pavarino
Luca F. Pavarino University of Pavia
David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
Xiao-Chuan Cai
Xiao-Chuan Cai University of Colorado Boulder
Barry Smith
Barry Smith Argonne National Laboratory
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Jinchao Xu
Jinchao Xu Pennsylvania State University
Martin J. Gander
Martin J. Gander University of Geneva
Yvon Maday
Yvon Maday Sorbonne University
Ulrich Langer
Ulrich Langer Johannes Kepler University of Linz
Dianne P. O'Leary
Dianne P. O'Leary University of Maryland, College Park

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