dc.creator | Maestre Caballero, Faustino | es |
dc.creator | Pedregal Tercero, Pablo | es |
dc.date.accessioned | 2016-10-11T07:29:54Z | |
dc.date.available | 2016-10-11T07:29:54Z | |
dc.date.issued | 2006-05-01 | |
dc.identifier.citation | Maestre Caballero, F. y Pedregal Tercero, P. (2006). Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Nonlinear Analysis: Theory, Methods and Applications, 64 (9), 1962-1976. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/47349 | |
dc.description.abstract | We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω ⊂ IR3 by minimizing the L2-norm of the electric field under a constraint on the amount on each material that we can use. We utilize a characterization of the three-dimensional divergence-free vector fields which is especially appropriate for a variational reformulation. By using gradient Young measures as a main tool, we can give an explicit form of the ”constrained quasiconvexification” of the cost density. This result is similar to the one in the 2-D situation. However, the characterization of the divergence-free vector fields introduces a certain nonlinearity in the problem that needs to be addressed properly. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.description.sponsorship | Junta de Comunidades de Castilla-La Mancha | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods and Applications, 64 (9), 1962-1976. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Optimal design | es |
dc.subject | Dependence on the gradient of the state | es |
dc.subject | Relaxation | es |
dc.subject | Quasiconvexification | es |
dc.subject | Young measure | es |
dc.title | Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2004-07114 | es |
dc.relation.projectID | 03/034 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0362546X05007273/1-s2.0-S0362546X05007273-main.pdf?_tid=3a842a34-8f84-11e6-b1ed-00000aab0f26&acdnat=1476171056_b44b452ad7ed97d8b0d96ec7ebf051a8 | es |
dc.identifier.doi | 10.1016/j.na.2005.07.032 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Nonlinear Analysis: Theory, Methods and Applications | es |
dc.publication.volumen | 64 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 1962 | es |
dc.publication.endPage | 1976 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47349 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |
dc.contributor.funder | Junta de Castilla-La Mancha | |