Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
[1] G. W. Zumbusch. Multigrid methods for finite differences. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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The report serves as an alternative introductory report on the multigrid iterative solvers in Diffpack using finite differences instead of finite elements covered previously. We consider the solution of elliptic partial differential equations on different domains. We solve the resulting linear equation systems with a multigrid iteration or a Krylov iteration with a multigrid preconditioner. The multigrid restriction and prolongation are also implemented using finite “difference” type stencils. The first steps are guided by a couple of examples and exercises.