dc.creator | Buttazzo, Giuseppe | es |
dc.creator | Maestre Caballero, Faustino | es |
dc.date.accessioned | 2016-06-10T09:29:14Z | |
dc.date.available | 2016-06-10T09:29:14Z | |
dc.date.issued | 2011-12 | |
dc.identifier.citation | Buttazzo, G. y Maestre Caballero, F. (2011). Optimal shape for elliptic problems with random perturbations. Discrete and Continuous Dynamical Systems. Series A, 31 (4), 1115-1128. | |
dc.identifier.issn | 1078-0947 | es |
dc.identifier.issn | 1553-5231 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42113 | |
dc.description.abstract | In this paper we analyze the relaxed form of a shape optimization
problem with state equation
− div a(x)Du = f in D
boundary conditions on ∂D.
The new fact is that the term f is only known up to a random perturbation
ξ(x, ω). The goal is to find an optimal coefficient a(x), fulfilling
the usual constraints α ≤ a ≤ β and Z D a(x) dx ≤ m, which minimizes
a cost function of the form
Z Ω Z D j x, ω, ua(x, ω) dxdP(ω).
Some numerical examples are shown in the last section, to stress the
difference with respect to the case with no perturbation. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems. Series A, 31 (4), 1115-1128. | |
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 | homogenization | es |
dc.subject | random perturbation | es |
dc.title | Optimal shape for elliptic problems with random perturbations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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.identifier.doi | http://dx.doi.org/10.3934/dcds.2011.31.1115 | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems. Series A | es |
dc.publication.volumen | 31 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1115 | es |
dc.publication.endPage | 1128 | es |
dc.relation.publicationplace | San Jose (California) | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42113 | |