Mu, Mo; Xu, Jinchao A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. (English) Zbl 1146.76031 SIAM J. Numer. Anal. 45, No. 5, 1801-1813 (2007). Summary: 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. Cited in 3 ReviewsCited in 164 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76S05 Flows in porous media; filtration; seepage 76D07 Stokes and related (Oseen, etc.) flows 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs Keywords:error estimate; decoupling Software:PDE.Mart; ICF3D PDF BibTeX XML Cite \textit{M. Mu} and \textit{J. Xu}, SIAM J. Numer. Anal. 45, No. 5, 1801--1813 (2007; Zbl 1146.76031) Full Text: DOI