Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media

Yalchin Efendiev*, Juan Galvis, Raytcho Lazarov, Svetozar Margenov, Jun Ren

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

In this paper we discuss robust two-level domain decomposition preconditioners for highly anisotropic heterogeneous multiscale problems. We present a construction of several coarse spaces that employ standard finite element and multiscale basis functions and discuss techniques to reduce the dimensions of coarse spaces without sacrificing the robustness. We experimentally study the performance of the preconditioner on a variety two-dimensional test problems with channels of high anisotropy. The numerical tests confirm the robustness of the perconditioner with respect to the underlying physical parameters.

Original languageEnglish (US)
Pages (from-to)415-436
Number of pages22
JournalComputational Methods in Applied Mathematics
Volume12
Issue number4
DOIs
StatePublished - Oct 1 2012

Keywords

  • Domian decomposition
  • Heterogeneous anisotropic media
  • Robust preconditioners
  • Schwarz method

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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