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A Massively Parallel Multigrid Method for Finite Elements
November/December 2006 (vol. 8 no. 6)
pp. 56-62
Benjamin Bergen, Los Alamos National Laboratory
Tobias Gradl, University of Erlangen-Nürnberg
Ulrich Rüde, University of Erlangen-Nürnberg
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.
Index Terms:
multigrid, algebraic multigrid
Citation:
Benjamin Bergen, Tobias Gradl, Frank Hülsemann, Ulrich Rüde, "A Massively Parallel Multigrid Method for Finite Elements," Computing in Science and Engineering, vol. 8, no. 6, pp. 56-62, Nov.-Dec. 2006, doi:10.1109/MCSE.2006.102
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