An algebraic multigrid (AMG) solver for a finite element (FEM) discretization of the Stokes/Navier-Stokes system on hybrid meshes and its parallelization

Dr. Huidong Yang

June 17, 2008, 3:30 p.m. T 1010

In this talk, we will present an algebraic multigrid method for a finite element discretization of the Stokes/Navier-Stokes equations. The method we used is mainly based on Wabro’s previous work on AMG solvers for the incompressible Navier-Stokes problem. The standard stabilized P1-P1 element has been extended to hybrid meshes containing several different elements types.

Different smoothers for the AMG solver applied to the saddle point problem will be discussed. We will present a simple parallel implementation for the Stokes problem using MPI communication Library Toolbox (by Manfred Liebmann). Finally, some numerical results will be shown.

This is a joint work with Prof. W. Zulehner.