Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

Victorita Dolean, Pierre Jolivet, Frederic Nataf, Nicole Spillane, Hua Xiang

Research output: Contribution to journalArticle

6 Citations (Scopus)
136 Downloads (Pure)

Abstract

Multiphase, compositional porous media flow models lead to the solution of highly heterogeneous systems of Partial Differential Equations (PDE). We focus on overlapping Schwarz type methods on parallel computers and on multiscale methods. We present a coarse space [Nataf F., Xiang H., Dolean V., Spillane N. (2011) SIAM J. Sci. Comput. 33, 4, 1623-1642] that is robust even when there are such heterogeneities. The two-level domain decomposition approach is compared to multiscale methods.
Original languageEnglish
Pages (from-to)731-752
Number of pages22
JournalOil & Gas Science and Technology
Volume69
Issue number4
Early online date24 Jul 2014
DOIs
Publication statusPublished - Jul 2014

Keywords

  • porus media flow
  • two-level domain decomposition
  • partial differential equations

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