Fourier Analysis of GMRES(m) Preconditioned by Multigrid

R. Wienands
Institute for Algorithms and Scientific Computing
D-53754 St. Augustin, Germany


This paper deals with convergence estimations of a preconditioned GMRES(m) method, where multigrid is used as the preconditioner. Fourier analysis is a well-known useful tool in the multigrid community for the prediction of two-grid convergence rates. This analysis is generalized to the situation where multigrid is a preconditioner.