Universität zu Köln

Klawonn, Axel ORCID: 0000-0003-4765-7387, Koehler, Stephan, Lanser, Martin ORCID: 0000-0002-4232-9395 and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2020). Computational homogenization with million-way parallelism using domain decomposition methods. Comput. Mech., 65 (1). S. 1 - 23. NEW YORK: SPRINGER. ISSN 1432-0924

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Abstract

Parallel computational homogenization using the well-knwon FE2 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 FE2 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 FE2 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 FE2 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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klawonn, Axel UNSPECIFIED orcid.org/0000-0003-4765-7387 UNSPECIFIED Koehler, Stephan UNSPECIFIED UNSPECIFIED UNSPECIFIED Lanser, Martin UNSPECIFIED orcid.org/0000-0002-4232-9395 UNSPECIFIED Rheinbach, Oliver UNSPECIFIED orcid.org/0000-0002-9310-8533 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-351734
DOI:	10.1007/s00466-019-01749-5
Journal or Publication Title:	Comput. Mech.
Volume:	65
Number:	1
Page Range:	S. 1 - 23
Date:	2020
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1432-0924
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DIRECT NUMERICAL SIMULATIONS; FINITE-ELEMENT-METHOD; NONLINEAR FETI-DP; MULTISCALE APPROACH; SOLID MECHANICS; FE2; CONSTRUCTION; STRATEGY; BEHAVIOR; SOLVER Multiple languages Mathematics, Interdisciplinary Applications; Mechanics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/35173