Approximation of optimal interface boundary conditions for two-Lagrange multiplier FETI method

F. X. Roux, F. Magoulès, L. Series, Y. Boubendir

Research output: Chapter in Book/Report/Conference proceedingChapter

29 Scopus citations

Abstract

Interface boundary conditions are the key ingredient to design efficient domain decomposition methods. However, convergence cannot be obtained for any method in a number of iterations less than the number of subdomains minus one in the case of a one-way splitting. This optimal convergence can be obtained with generalized Robin type boundary conditions associated with an operator equal to the Schur complement of the outer domain. Since the Schur complement is too expensive to compute exactly, a new approach based on the computation of the exact Schur complement for a small patch around each interface node is presented for the two-Lagrange multiplier FETI method.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
PublisherSpringer Verlag
Pages283-290
Number of pages8
ISBN (Print)3540225234, 9783540225232
DOIs
StatePublished - 2005
Externally publishedYes

Publication series

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

All Science Journal Classification (ASJC) codes

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

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