Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case

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dc.contributor.authorAmmari, Hko
dc.contributor.authorBeretta, Eko
dc.contributor.authorFrancini, Eko
dc.contributor.authorKang, Hko
dc.contributor.authorLim, Mikyoungko
dc.date.accessioned2013-03-09T22:30:16Z-
dc.date.available2013-03-09T22:30:16Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-09-
dc.identifier.citationJOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.94, no.3, pp.322 - 339-
dc.identifier.issn0021-7824-
dc.identifier.urihttp://hdl.handle.net/10203/97668-
dc.description.abstractIn order to reconstruct small changes in the interface of an elastic inclusion from modal measurements, we rigorously derive an asymptotic formula which is in some sense dual to the leading-order term in the asymptotic expansion of the perturbations in the eigenvalues due to interface changes of the inclusion. Based on this (dual) formula we propose an algorithm to reconstruct the interface perturbation. We also consider an optimal way of representing the interface change and the reconstruction problem using incomplete data. A discussion on resolution is included. Proposed algorithms are implemented numerically to show their viability. (C) 2010 Elsevier Masson SAS. All rights reserved.-
dc.languageEnglish-
dc.publisherGAUTHIER-VILLARS/EDITIONS ELSEVIER-
dc.titleReconstruction of small interface changes of an inclusion from modal measurements II: The elastic case-
dc.typeArticle-
dc.identifier.wosid000281984000005-
dc.identifier.scopusid2-s2.0-77955909898-
dc.type.rimsART-
dc.citation.volume94-
dc.citation.issue3-
dc.citation.beginningpage322-
dc.citation.endingpage339-
dc.citation.publicationnameJOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES-
dc.contributor.localauthorLim, Mikyoung-
dc.contributor.nonIdAuthorAmmari, H-
dc.contributor.nonIdAuthorBeretta, E-
dc.contributor.nonIdAuthorFrancini, E-
dc.contributor.nonIdAuthorKang, H-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorReconstruction-
dc.subject.keywordAuthorElastic inclusion-
dc.subject.keywordAuthorInterface changes-
dc.subject.keywordAuthorEigenvalue problem-
dc.subject.keywordAuthorModal measurements-
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