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dc.contributor.authorHaslinger, Jaroslav
dc.contributor.authorMäkinen, Raino
dc.date.accessioned2015-10-26T09:30:22Z
dc.date.available2016-04-03T21:45:05Z
dc.date.issued2015
dc.identifier.citationHaslinger, J., & Mäkinen, R. (2015). On a topology optimization problem governed by two-dimensional Helmholtz equation. <em>Computational Optimization and Applications</em>, 62 (2), 517-544. <a href="http://dx.doi.org/10.1007/s10589-015-9746-4">doi:10.1007/s10589-015-9746-4</a> Retrieved from <a href="http://www.researchgate.net/publication/274713225_On_topology_optimization_problem_governed_by_two-dimensional_Helmholtz_equation">http://www.researchgate.net/publication/274713225_On_topology_optimiza...</a>
dc.identifier.otherTUTKAID_65866
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/47403
dc.description.abstractThe paper deals with a class of shape/topology optimization problems governed by the Helmholtz equation in 2D. To guarantee the existence of minimizers, the relaxation is necessary. Two numerical methods for solving such problems are proposed and theoretically justified: a direct discretization of the relaxed formulation and a level set parametrization of shapes by means of radial basis functions. Numerical experiments are given.
dc.language.isoeng
dc.publisherSpringer New York LLC
dc.relation.ispartofseriesComputational Optimization and Applications
dc.subject.otherHelmholtz equation
dc.subject.otherTopology optimization
dc.subject.otherLevel set method
dc.subject.otherRadial basis functions
dc.titleOn a topology optimization problem governed by two-dimensional Helmholtz equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201510133359
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikka
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-10-13T09:15:19Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange517-544
dc.relation.issn0926-6003
dc.relation.volume62
dc.type.versionacceptedVersion
dc.rights.copyright© Springer Science+Business Media New York 2015. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1007/s10589-015-9746-4


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