%0 Journal Article
%T A decoupled preconditioning technique for a mixed Stokes-Darcy model
%A Antonio M¨¢rquez
%A Salim Meddahi
%A Francisco-Javier Sayas
%J Mathematics
%D 2012
%I arXiv
%X We propose an efficient iterative method to solve the mixed Stokes-Dracy model for coupling fluid and porous media flow. The weak formulation of this problem leads to a coupled, indefinite, ill-conditioned and symmetric linear system of equations. We apply a decoupled preconditioning technique requiring only good solvers for the local mixed-Darcy and Stokes subproblems. We prove that the method is asymptotically optimal and confirm, with numerical experiments, that the performance of the preconditioners does not deteriorate on arbitrarily fine meshes.
%U http://arxiv.org/abs/1208.1685v1