Fast and accurate multigrid solution of Poissons equation using diagonally oriented grids

Details Fast and accurate multigrid solution of Poissons equation using diagonally oriented grids Fast and accurate multigrid solution of Poissons equation using diagonally oriented grids

1999-07-30

arxiv.org/abs/math/9907190v1

Mathematics

Numerical Analysis

21 pages, colour LaTeX

Scientific paper

We solve Poisson's equation using new multigrid algorithms that converge rapidly. The novel feature of the 2D and 3D algorithms are the use of extra diagonal grids in the multigrid hierarchy for a much richer and effective communication between the levels of the multigrid. Numerical experiments solving Poisson's equation in the unit square and unit cube show simple versions of the proposed algorithms are up to twice as fast as correspondingly simple multigrid iterations on a conventional hierarchy of grids.

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