Ventcell conditions with mixed formulations for flow in porous media

Abstract : In this work, we study the Optimized Schwarz method with Ventcell conditions in the context of mixed formulations, which is not as straightforward as in the case of primal formulations and we have to introduce Lagrange multipliers on the interfaces to handle tangential derivatives involved in those conditions. Two dimensional numerical results for heterogeneous problems will be presented to compare the performance of the Ventcell transmission conditions with that of the Robin transmission conditions.