Show simple item record

dc.contributor.authorButtazzo, Giuseppe
dc.contributor.authorSantambrogio, Filippo
dc.date.accessioned2014-06-02T08:00:32Z
dc.date.available2014-06-02T08:00:32Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13381
dc.language.isoenen
dc.subject[\Gamma-] convergenceen
dc.subjectshape optimizationen
dc.subject.ddc518en
dc.titleAsymptotical compliance optimization for connected networksen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider the problem of the optimal location of a Dirichlet region in a two-dimensional domain [\Omega] subject to a force [f] in order to minimize the compliance of the configuration. The class of admissible Dirichlet regions among which we look for the optimum consists of all one-dimensional connected sets (networks) of a given length [L] . Then we let [L] tend to infinity and look for the [\Gamma] -limit of suitably rescaled functionals, in order to identify the asymptotical distribution of the optimal networks. The asymptotically optimal shapes are discussed as well and links with average distance problems are provided.en
dc.relation.isversionofjnlnameNetworks and Heterogeneous Media
dc.relation.isversionofjnlvol2en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages761-777en
dc.relation.isversionofdoihttp://dx.doi.org/10.3934/nhm.2007.2.761en
dc.relation.isversionofjnlpublisherAIMSen
dc.subject.ddclabelModèles mathématiques. Algorithmesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record