A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. (English) Zbl 1414.76017
Summary: We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size.
MSC:
76D07 | Stokes and related (Oseen, etc.) flows |
76S05 | Flows in porous media; filtration; seepage |
76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
65N55 | Multigrid methods; domain decomposition for boundary value problems involving PDEs |
65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |