A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system


Abstract. We propose a new parallel Robin-Robin domain decomposition method for the cou-pled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. In par-ticular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size. Key words. Stokes and Darcy equations, Robin-Robin domain decomposition, geometrical convergence AMS subject classifications. 65N55, 65N30, 35M20, 35Q35 1. Introduction. The Darc

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