0460325 20240103212338.620160625235959.9 84960093450 000371235600006 10.1137/140980387 18 s. cav_un_epca*02576001064-8275381 (2016)SIAM Society for Industrial and Applied Mathematics topology optimization domain decomposition Newton-Krylov cav_un_auth*0101131 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 34 Kočvara Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0313203 33 Loghin D. GB cav_un_auth*0289253 33 Turner J. GB http://library.utia.cas.cz/separaty/2016/MTR/kocvara-0460325.pdf cav_un_auth*0241214 IAA100750802 GA AV ČR cav_un_auth*0331291 313781 European Commission - EC XE 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. BA 2017 3 RVO:67985556 http://hdl.handle.net/11104/0261899 S 2 Article Mathematics Applied MATHEMATICS.APPLIED 2.803 0.273 999.9 0.02465 1.718 11094 1.992 Q1 1.900 260 Q1 93.737 93.1 Q1* Q1* 93.137 2016 84960093450 SCOPUS 000371235600006 WOS cav_un_epca*0257600 SIAM Journal on Scientific Computing 1064-8275 1095-7197 Roč. 38 č. 1 2016 A128 A145 SIAM Society for Industrial and Applied Mathematics