Constraint interface preconditioning for topology optimization problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00460325" target="_blank" >RIV/67985556:_____/16:00460325 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/140980387" target="_blank" >http://dx.doi.org/10.1137/140980387</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/140980387" target="_blank" >10.1137/140980387</a>

Result language
angličtina
Original language name
Constraint interface preconditioning for topology optimization problems
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/IAA100750802" target="_blank" >IAA100750802: Nonsmooth and set-valued analysis in mechanics and thermomechanics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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