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arXiv · 1208.1685

A decoupled preconditioning technique for a mixed Stokes-Darcy model

Antonio Márquez·Salim Meddahi·Francisco-Javier Sayas
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Abstract

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.

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Antonio Márquez, Salim Meddahi, Francisco-Javier Sayas. 2012-08-08. A decoupled preconditioning technique for a mixed Stokes-Darcy model. https://arxiv.org/abs/1208.1685

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