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Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization

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    0448606 - ÚTIA 2016 GB eng C - Conference Paper (international conference)
    Turner, James - Kočvara, Michal - Loghin, Daniel
    Parallel Solution of the Linear Elasticity problem with Applications in Topology Optimization.
    4th Annual BEAR PGR Conference 2013. Birmingham: University of Birmingham, 2013, s. 66-74.
    [Annual BEAR PGR Conference 2013 /4./. Birmingham (GB), 16.12.2013-16.12.2013]
    Institutional support: RVO:67985556
    Keywords : Linear elasticity * topology optimization * domain decomposition
    Subject RIV: BA - General Mathematics
    http://library.utia.cas.cz/separaty/2015/MTR/kocvara-0448606.pdf

    In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, our approach aims to target the resulting interface problem, allowing for the parallel computation of solutions in an efficient manner. As a major application of our work, we apply our results to the field of topology optimization, where typical solvers require repeated solutions of linear elasticity problems resulting from the use of a Picard approach.
    Permanent Link: http://hdl.handle.net/11104/0250578

     
     
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