The local discontinuous Galerkin method for the Oseen equations

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Abstract

We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L2- and negative-order norms. Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers. \