A unified stabilized mixed finite element method for coupling Stokes and Darcy flows

A stabilized mixed finite element method for solving the coupled Stokes and Darcy flows problem is formulated and analyzed. The approach utilizes the same nonconforming Crouzeix–Raviart element discretization on the entire domain. A discrete inf–sup condition and an optimal a priori error estimate are derived. Finally, some numerical examples verifying the theoretical predictions are presented.