A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow

Mo Mu, Jinchao Xu

Research output: Contribution to journalArticle

162 Scopus citations

Abstract

We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.

Original languageEnglish (US)
Pages (from-to)1801-1813
Number of pages13
JournalSIAM Journal on Numerical Analysis
Volume45
Issue number5
DOIs
StatePublished - Dec 1 2007

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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