07-7   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Malte Braack:

A stabilized finite element scheme for the Navier-Stokes equations on anisotropic meshes

It is well known that the classical local projection method as well as residual-based stabilization techniques, as for instance streamline upwind Petrov-Galerkin (SUPG), are optimal on isotropic meshes. Here we extend the local projection stabilization for the Navier-Stokes system to anisotropic quadrilateral meshes. In this work we describe the new method and prove an a priori error estimate. This method leads on anisotropic meshes to qualitatively better convergence behavior than other isotropic stabilization methods. The capability of the method is illustrated by means of two numerical test problems.

Mail an Jens Burmeister
[Thu Feb 19 18:56:37 2009]