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Parallel Solution of Partial Differential Equations

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Petter Bjørstad

    1. Institutt for Informatikk Hoyteknologisenteret, University of Bergen, Bergen, Norway

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  2. Mitchell Luskin

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 120)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-x
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  2. Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems in Three Dimensions

    • Luca F. Pavarino, Olof B. Widlund
    Pages 1-30

  3. Parallel Linear Stationary Iterative Methods

    • L. Ridgway Scott, Dexuan Xie
    Pages 31-55

  4. Adaptive Finite Element Methods for Domain Decomposition on Nonmatching Grids

    • B. Engelmann, R. H. W. Hoppe, Y. Iliash, Y. A. Kuznetsov, Y. Vassilevski, B. Wohlmuth
    Pages 57-83

  5. Solution of Multi-Dimensional Radiative Transfer Problems on Parallel Computers

    • Guido Kanschat
    Pages 85-96

  6. A Lagrange Multiplier/Fictitious Domain/Collocation Method for Solid-Liquid Flows

    • Tsorng-Whay Pan
    Pages 97-121

  7. Multidimensional Parallel Spectral Solver for Navier-Stokes Equations

    • Amir Averbuch, Ludimila Ioffe, Moshe Israeli, Lev Vozovoi
    Pages 123-158

  8. An Overlapping Schwarz Method for Spectral Element Simulation of Three-Dimensional Incompressible Flows

    • P. F. Fischer, H. M. Tufo, N. I. Miller
    Pages 159-180

  9. Overlapping and Multilevel Schwarz Methods for Vector Valued Elliptic Problems in Three Dimensions

    • Ralf Hiptmair, Andrea Toselli
    Pages 181-208

  10. Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations

    • S. Evje, K. Hvistendahl Karlsen, K. A. Lie, N. H. Risebro
    Pages 209-227

  11. Scalable Poisson and VLSI Biharmonic Solvers

    • Marián Vajteršic
    Pages 229-246

  12. Prospects for CFD on Petaflops Systems

    • David E. Keyes, Dinesh K. Kaushik, Barry F. Smith
    Pages 247-277

  13. Additive Schwarz for Anisotropic Elliptic Problems

    • Petter E. Bjørstad, Maksymilian Dryja, Talal Rahman
    Pages 279-293

  14. Back Matter

    Pages 295-306
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Keywords

About this book

This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work­ shop was an integral part of the 1996-97IMA program on "MATHEMAT­ ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda­ tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computers offer the promise of greatly increased perfor­ mance and the routine calculation of previously intractable problems. The papers in this volume were presented at the IMA workshop on the Paral­ lel Solution of PDE held during June 9-13, 1997. The workshop brought together leading numerical analysts, computer scientists, and engineers to assess the state-of-the-art and to consider future directions.

Editors and Affiliations

  • Institutt for Informatikk Hoyteknologisenteret, University of Bergen, Bergen, Norway

    Petter Bjørstad

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Mitchell Luskin

Bibliographic Information

  • Book Title: Parallel Solution of Partial Differential Equations

  • Editors: Petter Bjørstad, Mitchell Luskin

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-1176-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-95008-2Published: 10 March 2000

  • Softcover ISBN: 978-1-4612-7034-8Published: 23 October 2012

  • eBook ISBN: 978-1-4612-1176-1Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: X, 306

  • Topics: Numerical Analysis

  • Industry Sectors: Energy, Utilities & Environment, IT & Software

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