A Massively Parallel Multigrid Method for Finite Elements

Authors:
Benjamin Bergen;Tobias Gradl;Frank Hulsemann;Ulrich Rude
Affiliations:
Los Alamos National Laboratory;University of Erlangen-Nürnberg;EDF R&D;University of Erlangen-Nürnberg
Venue:
Computing in Science and Engineering
Year:
2006

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Abstract

The hierarchical hybrid grid framework supports the parallel implementation of multigrid solvers for finite element problems. Specifically, it generates extremely fine meshes by using a structured refinement of an unstructured base mesh. For special problems with piecewise uniform material parameters, this leads to the possibility of stencil-based operations, which save substantial memory and permit a very efficient implementation of the multigrid method.