Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes
Résumé
We propose a non-overlapping Schwarz algorithm for solving ''Discrete Duality Finite Volume'' schemes (DDFV for short) on general meshes. In order to handle this problem, the first step is to propose and study a convenient DDFV scheme for anisotropic elliptic problems with mixed Dirichlet/Fourier boundary conditions. Then, we are able to build the corresponding Schwarz algorithm and to prove its convergence to the solution of the DDFV scheme on the initial domain. We finally give some numerical results both in the case where the Schwarz iterations are used as a solver or as a preconditioner.
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