Covolume method for new nonconforming rectangle element for the Stokes problem

We analyze a covolume method based on the new nonconforming element introduced by Douglas et al. [1]. We show the H1 optimal order convergence of the scheme for Stokes problem and study the hybrid domain decomposition procedure for this covolume scheme. The numerical experiment shows that the covolume scheme is somewhat better than finite element scheme in the computation of pressure.