Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method

Nicole Spillane, Victorita Dolean Maini, Patrice Hauret, Frédéric Nataf, Daniel J. Rixen

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

FETI is a very popular method, which has proved to be extremely efficient on many large-scale industrial problems. One drawback is that it performs best when the decomposition of the global problem is closely related to the parameters in equations. This is somewhat confirmed by the fact that the theoretical analysis goes through only if some assumptions on the coefficients are satisfied. We propose here to build a coarse space for which the convergence rate of the two-level method is guaranteed regardless of any additional assumptions. We do this by identifying the problematic modes using generalized eigenvalue problems.
Original languageEnglish
Pages (from-to)197-201
Number of pages5
JournalComptes Rendus Mathematique
Volume351
Issue number5-6
DOIs
Publication statusPublished - 31 Mar 2013

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