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Regularized MFS-Based boundary identification in two-dimensional Helmholtz-type equations

dc.contributor.authorMarin, L.en
dc.contributor.authorKarageorghis, Andreasen
dc.creatorMarin, L.en
dc.creatorKarageorghis, Andreasen
dc.date.accessioned2019-12-02T10:36:53Z
dc.date.available2019-12-02T10:36:53Z
dc.date.issued2009
dc.identifier.issn1546-2218
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57262
dc.description.abstractWe study the stable numerical identification of an unknown portion of the boundary on which a given boundary condition is provided and additional Cauchy data are given on the remaining known portion of the boundary of a twodimensional domain for problems governed by either the Helmholtz or the modified Helmholtz equation. This inverse geometric problem is solved using the method of fundamental solutions (MFS) in conjunction with the Tikhonov regularization method. The optimal value for the regularization parameter is chosen according to Hansen's L-curve criterion. The stability, convergence, accuracy and efficiency of the proposed method are investigated by considering several examples. Copyright © 2009 Tech Science Press.en
dc.sourceComputers, Materials and Continuaen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77649162340&partnerID=40&md5=38cc1436ea87effb45e76ccacf398a6e
dc.subjectRegularizationen
dc.subjectMethod of fundamental solutionsen
dc.subjectHelmholtz equationen
dc.subjectInverse geometric problemsen
dc.subjectRegularization parametersen
dc.subjectL-curve criterionen
dc.subjectCauchy dataen
dc.subjectMethod of fundamental solutions (MFS)en
dc.subjectTwo-dimensional domainen
dc.subjectBoundary identificationen
dc.subjectHelmholtzen
dc.subjectHelmholtz-type equationsen
dc.subjectInverse geometric problemen
dc.subjectOptimal valuesen
dc.subjectTikhonov regularization methoden
dc.titleRegularized MFS-Based boundary identification in two-dimensional Helmholtz-type equationsen
dc.typeinfo:eu-repo/semantics/article
dc.description.volume10
dc.description.issue3
dc.description.startingpage259
dc.description.endingpage293
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 :12</p>en
dc.source.abbreviationComput.Mater.Continuaen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


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