Mortar Element Method for the Time Dependent Coupling of Stokes and Darcy Flows

In this paper, we investigate a mortar element method for the time dependent coupling of incompressible flow and porous media flow which are governed by non-stationary Stokes and Darcy equations, respectively. The interface conditions are given by mass conservation, the balance of the normal forces and the Beavers–Joseph–Saffman law. We consider the dual-mixed formulation in Darcy region where velocity and pressure are both unknowns. We employ...