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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

A NEW OPTIMAL CONTROL APPROACH FOR THE RECONSTRUCTION OF EXTENDED INCLUSIONS

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dc.contributor.authorAmmari, Habibko
dc.contributor.authorGarapon, Pierreko
dc.contributor.authorJouve, Francoisko
dc.contributor.authorKang, Hyeonbaeko
dc.contributor.authorLim, Mikyoungko
dc.contributor.authorYu, Sanghyeonko
dc.date.accessioned2013-08-08T06:07:37Z-
dc.date.available2013-08-08T06:07:37Z-
dc.date.created2013-06-11-
dc.date.created2013-06-11-
dc.date.issued2013-
dc.identifier.citationSIAM JOURNAL ON CONTROL AND OPTIMIZATION, v.51, no.2, pp.1372 - 1394-
dc.identifier.issn0363-0129-
dc.identifier.urihttp://hdl.handle.net/10203/174948-
dc.description.abstractThe aim of this paper is to propose a new regularized optimal control formulation for recovering an extended inclusion from boundary measurements. Our approach provides an optimal representation of the shape of the inclusion. It guarantees local Lipschitz stability for the reconstruction problem. Some numerical experiments are performed to demonstrate the validity and the limitations of the proposed reconstruction method.-
dc.languageEnglish-
dc.publisherSIAM PUBLICATIONS-
dc.subjectTOTAL VARIATION REGULARIZATION-
dc.subjectLEVEL-SET-
dc.subjectDISCONTINUOUS COEFFICIENTS-
dc.subjectSMALL PERTURBATIONS-
dc.subjectINVERSE PROBLEMS-
dc.subjectINTERFACE-
dc.subjectSCATTERING-
dc.subjectALGORITHM-
dc.subjectBOUNDARY-
dc.subjectTARGETS-
dc.titleA NEW OPTIMAL CONTROL APPROACH FOR THE RECONSTRUCTION OF EXTENDED INCLUSIONS-
dc.typeArticle-
dc.identifier.wosid000318406900022-
dc.identifier.scopusid2-s2.0-84879666105-
dc.type.rimsART-
dc.citation.volume51-
dc.citation.issue2-
dc.citation.beginningpage1372-
dc.citation.endingpage1394-
dc.citation.publicationnameSIAM JOURNAL ON CONTROL AND OPTIMIZATION-
dc.identifier.doi10.1137/100808952-
dc.contributor.localauthorLim, Mikyoung-
dc.contributor.nonIdAuthorAmmari, Habib-
dc.contributor.nonIdAuthorGarapon, Pierre-
dc.contributor.nonIdAuthorJouve, Francois-
dc.contributor.nonIdAuthorKang, Hyeonbae-
dc.contributor.nonIdAuthorYu, Sanghyeon-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorextended inclusion-
dc.subject.keywordAuthorreconstruction algorithm-
dc.subject.keywordAuthoroptimal control-
dc.subject.keywordAuthorHelmholtz equation-
dc.subject.keywordAuthorshape representation-
dc.subject.keywordAuthorMUSIC algorithm-
dc.subject.keywordAuthorregularization-
dc.subject.keywordPlusTOTAL VARIATION REGULARIZATION-
dc.subject.keywordPlusLEVEL-SET-
dc.subject.keywordPlusDISCONTINUOUS COEFFICIENTS-
dc.subject.keywordPlusSMALL PERTURBATIONS-
dc.subject.keywordPlusINVERSE PROBLEMS-
dc.subject.keywordPlusINTERFACE-
dc.subject.keywordPlusSCATTERING-
dc.subject.keywordPlusALGORITHM-
dc.subject.keywordPlusBOUNDARY-
dc.subject.keywordPlusRECOVERY-
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