Numerical analysis of the Stokes/Darcy coupling

Abstract

We consider a differential system based on the coupling of the Stokes and Darcy equations for modeling the interaction between surface and porous-media flows. We formulate the problem as an interface equation, analyze the associated Steklov-Poincar operators, and we prove its well-posedness. We propose an iterative method to solve the coupling of the Stokes and Darcy equations.