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Parallel Multigrid Methods

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Parallel Numerical Algorithms

Part of the book series: ICASE/LaRC Interdisciplinary Series in Science and Engineering ((ICAS,volume 4))

Abstract

Multigrid methods have proved to be among the fastest numerical methods for solving a broad class of problems, from many types of partial differential equations to problems with no continuous origin. On a serial computer, multigrid methods are able to solve a widening class of problems with work equivalent to a few evaluations of the discrete residual (i.e., a few relaxations). Many research projects have been conducted on parallel multigrid methods, and they have addressed a variety of subjects: from proposed new algorithms to theoretical studies to questions about practical implementation. The aim here is to provide a brief overview of this active and abundant field of research, with the aim of providing some guidance to those who contemplate entering it.

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Author information

Authors and Affiliations

  1. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 23681-0001, USA

    Jim E. Jones

  2. Program in Applied Mathematics, University of Colorado, Boulder, CO, 80309-0526, USA

    Stephen F. McCormick

Authors
  1. Jim E. Jones
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  2. Stephen F. McCormick
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Editor information

Editors and Affiliations

  1. Old Dominion University, Norfolk, Virginia, USA

    David E. Keyes

  2. University of Minnesota, Minneapolis, Minnesota, USA

    Ahmed Sameh

  3. ICASE, Hampton, Virginia, USA

    David E. Keyes  & V. Venkatakrishnan  & 

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© 1997 Springer Science+Business Media Dordrecht

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Jones, J.E., McCormick, S.F. (1997). Parallel Multigrid Methods. In: Keyes, D.E., Sameh, A., Venkatakrishnan, V. (eds) Parallel Numerical Algorithms. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5412-3_7

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  • DOI: https://doi.org/10.1007/978-94-011-5412-3_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6277-0

  • Online ISBN: 978-94-011-5412-3

  • eBook Packages: Springer Book Archive

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