Constraint interface preconditioning for topology optimization problems

0460325 - ÚTIA 2017 RIV US eng J - Journal Article
Kočvara, Michal - Loghin, D. - Turner, J.
Constraint interface preconditioning for topology optimization problems.
SIAM Journal on Scientific Computing. Roč. 38, č. 1 (2016), A128-A145. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA100750802
Grant - others:European Commission - EC(XE) 313781
Institutional support: RVO:67985556
Keywords : topology optimization * domain decomposition * Newton-Krylov
Subject RIV: BA - General Mathematics
Impact factor: 2.195, year: 2016
http://library.utia.cas.cz/separaty/2016/MTR/kocvara-0460325.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0261899