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Parallel multigrid solvers for 3D-unstructured large deformation elasticity and plasticity finite element problems

✍ Scribed by Mark Adams; R.L Taylor

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
892 KB
Volume
36
Category
Article
ISSN
0168-874X

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✦ Synopsis

Multigrid is a popular solution method for the set of linear algebraic equations that arise from PDEs discretized with the "nite element method. We discuss a method, that uses many of the same techniques as the "nite element method itself, to apply standard multigrid algorithms to unstructured "nite element problems. We present parallel algorithms, based on geometric heuristics, to optimize the quality of coarse grid point sets and the meshes constructed from them, for use in multigrid solvers for 3D-unstructured problems. We conduct scalability studies that demonstrate the e!ectiveness of our methods on a problem in large deformation elasticity and plasticity of up to 40 million degrees of freedom on 960 processor IBM PowerPC 4-way SMP cluster with about 60% parallel e$ciency. We also investigate the e!ect of incompressible materials on a problem in linear elasticity.

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