Mesh independent convergence rates via differential operator pairs

Owe Axelsson, János Karátson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In solving large linear systems arising from the discretization of elliptic problems by iteration, it is essential to use efficient preconditioners. The preconditioners should result in a mesh independent linear or, possibly even superlinear, convergence rate. It is shown that a general way to construct such preconditioners is via equivalent pairs or compactequivalent pairs of elliptic operators.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers
Pages3-15
Number of pages13
DOIs
Publication statusPublished - Dec 1 2008
Event6th International Conference on Large-Scale Scientific Computing, LSSC 2007 - Sozopol, Bulgaria
Duration: Jun 5 2007Jun 9 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4818 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other6th International Conference on Large-Scale Scientific Computing, LSSC 2007
CountryBulgaria
CitySozopol
Period6/5/076/9/07

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Axelsson, O., & Karátson, J. (2008). Mesh independent convergence rates via differential operator pairs. In Large-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers (pp. 3-15). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4818 LNCS). https://doi.org/10.1007/978-3-540-78827-0_1