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Application of a parallel algebraic multigrid method for the solution of elastoplastic shell problems

✍ Scribed by S. Meynen; A. Boersma; P. Wriggers

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 454 KB
Volume: 4
Category: Article
ISSN: 1070-5325
DOI: 10.1002/(sici)1099-1506(199705/06)4:3<223::aid-nla111>3.0.co;2-2

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✦ Synopsis

The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parallelization of a finite element code to a parallel machine with distributed memory of the MIMD class is presented. Here, a nonoverlapping domain decomposition is employed. A non-linear shell theory involving elastoplastic material behaviour of von Mises type with linear isotropic hardening is briefly introduced and a parallel algebraic multigrid method is derivated. As a numerical example we discuss the pinching of a cylinder undergoing large elastoplastic deformations. The performance of the solver is shown by using speed-up and scale-up investigation, as well as the influence of the problem size and the plasticity.

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