Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem

We stabilize the nonconforming Crouzeix‐Raviart element for the Darcy‐Stokes problem with terms motivated by a discontinuous Galerkin approach. Convergence of the method is shown, also in the limit of vanishing viscosity. Finally, some numerical examples verifying the theoretical predictions are presented. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 21, 2005.