290 RWTH Publication No: 47093        2008        IGPM290.pdf
TITLE Introduction to Multigrid Methods for Elliptic Boundary Value Problems
AUTHORS Arnold Reusken
ABSTRACT We treat multigrid methods for the efficient iterative solution of discretized elliptic boundary value problems. Two model problems are the Poisson equation and the Stokes problem. For the discretization we use standard finite element spaces. After discretization one obtains a large sparse linear system of equations. We explain multigrid methods for the solution of these linear systems. The basic concepts underlying multigrid solvers are discussed. Results of numerical experiments are presented which demonstrate the efficiency of these method. Theoretical convergence analyses are given that prove the typical grid independent convergence of multigrid methods.
PUBLICATION Multiscale simulation methods in molecular sciences : winter school, 2 - 6 March 2009,
Forschungszentrum Jülich, Germany
NIC series : publication series of the John von Neumann Institute for Computing 42, 467-506 (2009)