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dc.contributor.authorCasado-Diaz, J.
dc.contributor.authorCastro, C.
dc.contributor.authorLuna-Laynez, M.
dc.contributor.authorZuazua, E.
dc.date.accessioned2017-02-21T08:18:16Z
dc.date.available2017-02-21T08:18:16Z
dc.date.issued2011-12-31
dc.identifier.issn1540-3459
dc.identifier.urihttp://hdl.handle.net/20.500.11824/473
dc.description.abstractWe address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, often does not have a classical solution, and a relaxed formulation is needed to ensure existence. On the contrary, the discrete versions obtained by numerical approximation have a solution. In this article we prove the convergence of the discretizations and obtain convergence rates. We also show a faster convergence when the relaxed version of the continuous problem is taken into account when building the discretization strategy. In particular it is worth emphasizing that, even when the original problem has a classical solution so that relaxation is not necessary, numerical algorithms converge faster when implemented on the relaxed version.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectComposite optimal design
dc.subjectControl in the coefficients
dc.subjectFinite elements
dc.subjectNumerical approximation
dc.subjectRelaxation
dc.titleNumerical approximation of a one-dimensional elliptic optimal design problem
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1137/10081928X
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80054961408&doi=10.1137%2f10081928X&partnerID=40&md5=b399553ad9923d19b1eb0675df3eb6f9
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleMultiscale Modeling and Simulationen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España