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dc.creatorOlguin, Mariela Carina-
dc.creatorTarzia, Domingo Alberto-
dc.date2018-07-24T18:11:37Z-
dc.date2018-07-24T18:11:37Z-
dc.date2015-09-
dc.date2018-07-20T18:03:48Z-
dc.date.accessioned2019-04-29T15:41:55Z-
dc.date.available2019-04-29T15:41:55Z-
dc.date.issued2015-09-
dc.identifierOlguin, Mariela Carina; Tarzia, Domingo Alberto; Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality; Hindawi Publishing Corporation; International Journal of Differential Equations; 2015; 9-2015; 1-7-
dc.identifier1687-9651-
dc.identifierhttp://hdl.handle.net/11336/52974-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299828-
dc.descriptionThe objective of this work is to make the numerical analysis, through the finite element method with Lagrange's triangles of type 1, of a continuous optimal control problem governed by an elliptic variational inequality where the control variable is the internal energy g. The existence and uniqueness of this continuous optimal control problem and its associated state system were proved previously. In this paper, we discretize the elliptic variational inequality which defines the state system and the corresponding cost functional, and we prove that there exist a discrete optimal control and its associated discrete state system for each positive h (the parameter of the finite element method approximation). Finally, we show that the discrete optimal control and its associated state system converge to the continuous optimal control and its associated state system when the parameter h goes to zero.-
dc.descriptionFil: Olguin, Mariela Carina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina-
dc.descriptionFil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherHindawi Publishing Corporation-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1155/2015/407930-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/ijde/2015/407930/-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectOptimal control-
dc.subjectNumerical analysis-
dc.subjectElliptic variational inequalities-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleNumerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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