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- Title
Computational homogenization with million-way parallelism using domain decomposition methods.
- Authors
Klawonn, Axel; Köhler, Stephan; Lanser, Martin; Rheinbach, Oliver
- Abstract
Parallel computational homogenization using the well-knwon FE 2 approach is described and combined with domain decomposition and algebraic multigrid solvers. It is the purpose of this paper to show that and how the FE 2 method can take advantage of the largest supercomputers available and those of the upcoming exascale era for virtual material testing of micro-heterogeneous materials such as advanced steel. The FE 2 method is a computational micro-macro homogenization approach where at each Gauss integration point of the macroscopic finite element problem a microscopic finite element problem, defined on a representative volume element (RVE), is attached. Note that the FE 2 method is not embarrassingly parallel since the RVE problems are coupled through the macroscopic problem. Numerical results considering different grids on both, the macroscopic and microscopic level as well as weak scaling results for up to a million parallel processes are presented.
- Subjects
DOMAIN decomposition methods; DECOMPOSITION method; MULTIGRID methods (Numerical analysis); MATERIALS testing; PARALLEL processing
- Publication
Computational Mechanics, 2020, Vol 65, Issue 1, p1
- ISSN
0178-7675
- Publication type
Article
- DOI
10.1007/s00466-019-01749-5