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The MFS for numerical boundary identification in two-dimensional harmonic problems

dc.contributor.authorMarin, L.en
dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorLesnic, D.en
dc.creatorMarin, L.en
dc.creatorKarageorghis, Andreasen
dc.creatorLesnic, D.en
dc.date.accessioned2019-12-02T10:36:54Z
dc.date.available2019-12-02T10:36:54Z
dc.date.issued2011
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57265
dc.description.abstractIn this study, we briefly review the applications of the method of fundamental solutions to inverse problems over the last decade. Subsequently, we consider the inverse geometric problem of identifying an unknown part of the boundary of a domain in which the Laplace equation is satisfied. Additional Cauchy data are provided on the known part of the boundary. The method of fundamental solutions is employed in conjunction with regularization in order to obtain a stable solution. Numerical results are presented and discussed. © 2010 Elsevier Ltd.en
dc.sourceEngineering Analysis with Boundary Elementsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78650762388&doi=10.1016%2fj.enganabound.2010.09.014&partnerID=40&md5=bcc923bd76b460b3ab0f28d0debb83ff
dc.subjectInverse problemsen
dc.subjectNumerical resultsen
dc.subjectRegularizationen
dc.subjectInverse problemen
dc.subjectMethod of fundamental solutionsen
dc.subjectLaplace equationen
dc.subjectInverse geometric problemsen
dc.subjectCauchy dataen
dc.subjectMethod of fundamental solutions (MFS)en
dc.subjectBoundary identificationen
dc.subjectHarmonic problemsen
dc.subjectStable solutionsen
dc.titleThe MFS for numerical boundary identification in two-dimensional harmonic problemsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.enganabound.2010.09.014
dc.description.volume35
dc.description.issue3
dc.description.startingpage342
dc.description.endingpage354
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :16</p>en
dc.source.abbreviationEng Anal Boundary Elemen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


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