Extending the applicability of multigrid methods

J. Brannick, M. Brezina, R. Falgout, T. Manteuffel, S. McCormick, J. Ruge, B. Sheehan, J. Xu, L. Zikatanov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Multigrid methods are ideal for solving the increasingly large-scale problems that arise in numerical simulations of physical phenomena because of their potential for computational costs and memory requirements that scale linearly with the degrees of freedom. Unfortunately, they have been historically limited by their applicability to elliptic-type problems and the need for special handling in their implementation. In this paper, we present an overview of several recent theoretical and algorithmic advances made by the TOPS multigrid partners and their collaborators in extending applicability of multigrid methods. specific examples that are presented include quantum chromodynamics, radiation transport, and electromagnetics.

Original languageEnglish (US)
Article number061
Pages (from-to)443-452
Number of pages10
JournalJournal of Physics: Conference Series
Volume46
Issue number1
DOIs
StatePublished - Oct 1 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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