Domain decomposition methods for solving Stokes-Darcy problems with boundary integrals

Yassine Boubendir, Svetlana Tlupova

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

We consider a coupled problem of Stokes and Darcy equations. This involves solving PDEs of different orders simultaneously. To overcome this difficulty, we apply a nonoverlapping domain decomposition method based on a Robin boundary condition obtained by combining the velocity and force interface conditions. The coupled system is then reduced to solving each problem separately by an iterative procedure using a Krylov subspace method. The numerical solution in each subdomain is based on the boundary integral formulation, where the kernels are regularized and correction terms are added to reduce the regularization error.

Original languageEnglish (US)
JournalSIAM Journal on Scientific Computing
Volume35
Issue number1
DOIs
StatePublished - Apr 22 2013

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Domain decomposition methods
  • Integral equations
  • Robin conditions
  • Stokes-Darcy system

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