Hybrid Dual-Primal FETI-Schur Complement Method for Stokes

We consider the solution of the linear system arising from the discretization of the Stokes system by finite element methods with continuous pressure spaces. For a system of large size, it is convenient to use iterative methods to save memory space. FETI and BDD belong to this class of methods and have proved efficiency for a large type of problems. When the approximate velocity and pressure are both continuous, the interface systems of FETI and BDD become mixed problems and ill-conditioned. We combine FETI and BDD in such a way that the interface unknowns are physically homogeneous in order to recover efficiency.