Direct and inverse elastic scattering from anisotropic media

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2348
dc.contributor.authorBao, Gang
dc.contributor.authorHu, Guanghui
dc.contributor.authorYin, Tao
dc.contributor.authorSun, Jiguang
dc.date.accessioned2017-03-29T23:50:33Z
dc.date.available2019-06-28T08:04:59Z
dc.date.issued2016
dc.description.abstractAssume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show uniqueness and existence of weak solutions by applying the Fredholm alternative and using properties of the Dirichlet-to-Neumann map in both two and three dimensions. The Fréchet derivative of the near-field solution operator with respect to the scattering interface is derived. As an application, we design a descent algorithm for recovering the interface from the near-field data of one or several incident directions and frequencies. Numerical examples in 2D are demonstrated to show the validity and accuracy of our methods.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/2236
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2255
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherLinear elasticityeng
dc.subject.otherLamé systemeng
dc.subject.othervariational approacheng
dc.subject.otherFréchet derivativeeng
dc.subject.otherDirichlet-to-Neumann mapeng
dc.subject.otherinverse scatteringeng
dc.titleDirect and inverse elastic scattering from anisotropic mediaeng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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