Primal-Dual Interior Point Multigrid Method for Topology Optimization

0462418 - ÚTIA 2017 RIV US eng J - Článek v odborném periodiku
Kočvara, Michal - Mohammed, S.
Primal-Dual Interior Point Multigrid Method for Topology Optimization.
SIAM Journal on Scientific Computing. Roč. 38, č. 5 (2016), B685-B709. ISSN 1064-8275. E-ISSN 1095-7197
Grant ostatní: European Commission - EC(XE) 313781
Institucionální podpora: RVO:67985556
Klíčová slova: topology optimization * multigrid methods * interior point method
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.195, rok: 2016
http://library.utia.cas.cz/separaty/2016/MTR/kocvara-0462418.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0261930