Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
[1] G. W. Zumbusch. Multigrid for different finite difference equations. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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The report is a continuation of an introductory report on the multigrid iterative solvers for finite differences in Diffpack. We consider the solution of partial differential equations discretized by finite differences. We consider varying coefficient and anisotropic operators and a variety of strategies for the convection-diffusion equation and the biharmonic equation. In the introductory report only the Laplacian was treated. We also discuss different multigrid restriction and prolongation operators arising in some special multigrid versions. The first steps are guided by a couple of examples.