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Zbl 1146.76031
Mu, Mo; Xu, Jinchao
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. (English)
[J] SIAM J. Numer. Anal. 45, No. 5, 1801-1813 (2007). ISSN 0036-1429; ISSN 1095-7170/e

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.

MSC 2000:: *76M10 Finite element methods
76S05 Flows in porous media
76D07 Stokes flows
65M60 Finite numerical methods (IVP of PDE)
65M55 Multigrid methods; domain decomposition (IVP of PDE)

Keywords: error estimate; decoupling

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