Non-overlapping Schwarz algorithm for solving 2 D m-DDFV schemes

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 pr oblem, 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 Sch warz algorithm and to prove its convergence to the solution of the DDFV scheme on the initial domain. We fin ally give some numerical results both in the case where the Schwarz iterations are used as a solver o r as a preconditioner.