Methods toward better Multigrid Solver Convergence

Details Methods toward better Multigrid Solver Convergence Methods toward better Multigrid Solver Convergence

2008-05-20

arxiv.org/abs/0805.3041v1

Mathematics

Numerical Analysis

10 pages

Scientific paper

I present a motivation of several areas where the Multigrid techniques can be employed. I present typical areas where the multigrid solver might be employed. I give an introduction to smoothers and how one might choose a preconditionor as well as an introduction of the Multigrid technique used. Then I do a study of the Multigrid technique while adjusting the environment conditions of the solver and the problem such as anisotropies, the grid-levels used, the preconditionor smoothing steps, the coordinate system and the start vector. The problem solved here was a simple Poisson problem. The Multigrid program used an F-cycle in this paper. I include performance study sections displaying results of the solver behavior under the different conditions.

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