Multilevel algebraic elliptic solvers

Tony Chan, Petr Vanĕk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We survey some of the recent research in developing multilevel algebraic solvers for elliptic problems. A key concept is the design of a hierarchy of coarse spaces and related interpolation operators which together satisfy certain approximation and stability properties to ensure the rapid convergence of the resulting multigrid algorithms. We will discuss smoothed agglomeration methods, harmonic extension methods, and global energy minimization methods for the construction of these coarse spaces and interpolation operators.

Original languageEnglish (US)
Title of host publicationHigh-Performance Computing and Networking - 7th International Conference, HPCN Europe 1999, Proceedings
EditorsPeter Sloot, Alfons Hoekstra, Bob Hertzberger, Marian Bubak
PublisherSpringer Verlag
Pages1001-1014
Number of pages14
ISBN (Print)3540658211, 9783540658214
StatePublished - Jan 1 1999
Event7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999 - Amsterdam, Netherlands
Duration: Apr 12 1999Apr 14 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1593
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th International Conference on High-Performance Computing and Networking, HPCN Europe 1999
CountryNetherlands
CityAmsterdam
Period04/12/9904/14/99

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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