Generalized Aitken-like acceleration of the Schwarz method

Jacques Baranger, Marc Garbey, Fabienne Oudin-Dardun

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations

Abstract

In this paper, we present a family of domain decomposition based on Aitken like acceleration of the Schwarz method seen as an iterative procedure with linear rate of convergence. This paper is a generalization of the method first introduced in Garbey and Tromeur-Dervout [2001] that was restricted to Cartesian grids. The general idea is to construct an approximation of the eigenvectors of the trace transfer operator associated to dominant eigenvalues and accelerate these components after few Schwarz iterates. We consider here examples with the finite volume approximation on general quadrangle meshes of Faille [1992] and finite element discretization.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
PublisherSpringer-Verlag
Pages505-512
Number of pages8
ISBN (Print)3540225234, 9783540225232
DOIs
StatePublished - 2005

Publication series

NameLecture Notes in Computational Science and Engineering
Volume40
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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