Mostrar el registro sencillo del ítem
dc.contributor.author
Olguin, Mariela Carina
dc.contributor.author
Tarzia, Domingo Alberto
dc.date.available
2018-07-24T18:11:37Z
dc.date.issued
2015-09
dc.identifier.citation
Olguin, 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.identifier.issn
1687-9651
dc.identifier.uri
http://hdl.handle.net/11336/52974
dc.description.abstract
The 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.format
application/pdf
dc.language.iso
eng
dc.publisher
Hindawi Publishing Corporation
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Optimal Control
dc.subject
Numerical Analysis
dc.subject
Elliptic Variational Inequalities
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-20T18:03:48Z
dc.journal.volume
2015
dc.journal.pagination
1-7
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Olguin, Mariela Carina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
dc.description.fil
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral; Argentina
dc.journal.title
International Journal of Differential Equations
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1155/2015/407930
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/ijde/2015/407930/
Archivos asociados