A domain decomposition strategy to efficiently solve structures containing repeated patterns

P. Gosselet, D. J. Rixen, C. Rey

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper presents a strategy for the computation of structures with repeated patterns based on domain decomposition and block-Krylov solvers. It can be seen as a special variant of the FETI method. We propose using the presence of repeated domains in the problem to compute the solution by minimizing the interface error on several directions simultaneously. The method not only drastically decreases the size of the problems to solve but also accelerates the convergence of interface problem for nearly no additional computational cost and minimizes expensive memory accesses. The numerical performances are illustrated on some thermal and elastic academic problems.

Original languageEnglish
Pages (from-to)828-842
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume78
Issue number7
DOIs
StatePublished - 14 May 2009
Externally publishedYes

Keywords

  • Block-Krylov solvers
  • Domain decomposition methods
  • FETI
  • Quasi-cyclic structures
  • Repeated patterns

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