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Primal-Dual Interior Point Multigrid Method for Topology Optimization

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    0462418 - ÚTIA 2017 RIV US eng J - Journal Article
    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 - others:European Commission - EC(XE) 313781
    Institutional support: RVO:67985556
    Keywords : topology optimization * multigrid methods * interior point method
    Subject RIV: BA - General Mathematics
    Impact factor: 2.195, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0261930

     
     
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