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Constraint interface preconditioning for topology optimization problems
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SYSNO ASEP 0460325 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Constraint interface preconditioning for topology optimization problems Author(s) Kočvara, Michal (UTIA-B) RID, ORCID
Loghin, D. (GB)
Turner, J. (GB)Number of authors 3 Source Title SIAM Journal on Scientific Computing. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1064-8275
Roč. 38, č. 1 (2016), A128-A145Number of pages 18 s. Language eng - English Country US - United States Keywords topology optimization ; domain decomposition ; Newton-Krylov Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Institutional support UTIA-B - RVO:67985556 UT WOS 000371235600006 EID SCOPUS 84960093450 DOI 10.1137/140980387 Annotation The discretization of constrained nonlinear optimization problems arising in the field of topology optimization yields algebraic systems which are challenging to solve in practice, due to pathological ill-conditioning, strong nonlinearity and size. In this work we propose a methodology which brings together existing fast algorithms, namely, interior-point for the optimization problem and a novel substructuring domain decomposition method for the ensuing large-scale linear systems. The main contribution is the choice of interface preconditioner which allows for the acceleration of the domain decomposition method, leading to performance independent of problem size. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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