Show simple item record

Article

dc.creatorFernández Cara, Enriquees
dc.creatorMaestre Caballero, Faustinoes
dc.date.accessioned2018-11-13T07:55:38Z
dc.date.available2018-11-13T07:55:38Z
dc.date.issued2018-02
dc.identifier.citationFernández Cara, E. y Maestre Caballero, F. (2018). An inverse problem in elastography involving Lamé systems. Journal of Inverse and Ill-posed Problems, 26 (5), 589-605.
dc.identifier.issn0928-0219es
dc.identifier.issn1569-3945es
dc.identifier.urihttps://hdl.handle.net/11441/80064
dc.description.abstractThis paper deals with some inverse problems for the linear elasticity system with origin in elastography: we try to identify the material coefficients from some extra information on (a part of) the boundary. In our main result, we assume that the total variation of the coefficient matrix is a priori bounded. We reformulate the problem as the minimization of a function in an appropriate constraint set. We prove that this extremal problem possesses at least one solution with the help of some regularity results. Two crucial ingredients are a Meyers-like theorem that holds in the context of linear elasticity and a nonlinear interpolation result by Luc Tartar. We also perform some numerical experiments that provide satisfactory results. To this end, we apply the Augmented Lagrangian algorithm, completed with a limited-memory BFGS subalgorithm. Finally, on the basis of these experiments, we illustrate the influence of the starting guess and the errors in the data on the behavior of the iterates.es
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidadeses
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherDe Gruyteres
dc.relation.ispartofJournal of Inverse and Ill-posed Problems, 26 (5), 589-605.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectInverse problemses
dc.subjectLinear elasticityes
dc.subjectLamé systemses
dc.subjectBounded variation coefficientses
dc.subjectElastographyes
dc.titleAn inverse problem in elastography involving Lamé systemses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDMTM2016-76990-Pes
dc.relation.projectIDMTM2014-53309-Pes
dc.relation.publisherversionhttps://www.degruyter.com/downloadpdf/j/jiip.2018.26.issue-5/jiip-2017-0065/jiip-2017-0065.pdfes
dc.identifier.doi10.1515/jiip-2017-0065es
dc.contributor.groupUniversidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Softwarees
dc.contributor.groupUniversidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parcialeses
idus.format.extent17 p.es
dc.journaltitleJournal of Inverse and Ill-posed Problemses
dc.publication.volumen26es
dc.publication.issue5es
dc.publication.initialPage589es
dc.publication.endPage605es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (MICINN). España
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). España

FilesSizeFormatViewDescription
An inverse problem in elastography ...4.011MbIcon   [PDF] View/Open  

This item appears in the following collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional