A simple preconditioner for a discontinuous Galerkin method for the Stokes problem

Abstract

In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.

27 pages, 4 figures

Cited by in corpus (1)

• Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations