A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. (English) Zbl 1146.76031

Mu, Mo; Xu, Jinchao

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.

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