Primal-Dual Interior Point Multigrid Method for Topology Optimization

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SYSNO ASEP	0462418
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Primal-Dual Interior Point Multigrid Method for Topology Optimization
Author(s)	Kočvara, Michal (UTIA-B)_{RID, ORCID} Mohammed, S. (GB)
Number of authors	2
Source Title	SIAM Journal on Scientific Computing. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1064-8275 Roč. 38, č. 5 (2016), B685-B709
Number of pages	24 s.
Publication form	Print - P
Language	eng - English
Country	US - United States
Keywords	topology optimization ; multigrid methods ; interior point method
Subject RIV	BA - General Mathematics
Institutional support	UTIA-B - RVO:67985556
UT WOS	000387347700039
EID SCOPUS	84994082410
DOI	10.1137/15M1044126
Annotation	An interior point method for the structural topology optimization is proposed. The linear systems arising in the method are solved by the conjugate gradient method preconditioned by geometric multigrid. The resulting method is then compared with the so-called optimality condition method, an established technique in topology optimization. This method is also equipped with the multigrid preconditioned conjugate gradient algorithm. We conclude that, for large scale problems, the interior point method with an inexact iterative linear solver is superior to any other variant studied in the paper.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2017

Number of the records: 1