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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.accessioned2019-12-02T10:36:53Z
dc.date.available2019-12-02T10:36:53Z
dc.date.issued2015
dc.identifier.issn0749-159X
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57264
dc.description.abstractWe study the reconstruction of the missing thermal and mechanical data on an inaccessible part of the boundary in the case of two-dimensional linear isotropic thermoelastic materials from overprescribed noisy measurements taken on the remaining accessible boundary part. This inverse problem is solved by using the method of fundamental solutions together with the method of particular solutions. The stabilization of this inverse problem is achieved using several singular value decomposition (SVD)-based regularization methods, such as the Tikhonov regularization method (Tikhonov and Arsenin, Methods for solving ill-posed problems, Nauka, Moscow, 1986), the damped SVD and the truncated SVD (Hansen, Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion, SIAM, Philadelphia, 1998), whilst the optimal regularization parameter is selected according to the discrepancy principle (Morozov, Sov Math Doklady 7 (1966), 414-417), generalized cross-validation criterion (Golub et al. Technometrics 22 (1979), 1-35) and Hansen's L-curve method (Hansen and O'Leary, SIAM J Sci Comput 14 (1993), 1487-503). © 2014 Wiley Periodicals, Inc.en
dc.sourceNumerical Methods for Partial Differential Equationsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84913528584&doi=10.1002%2fnum.21898&partnerID=40&md5=85845c12f5ce967de26b4a62f81a7704
dc.subjectProblem solvingen
dc.subjectNumerical methodsen
dc.subjectInverse problemsen
dc.subjectBoundary value problemsen
dc.subjectElasticityen
dc.subjectThermoelasticityen
dc.subjectsingular value decompositionen
dc.subjectMethod of particular solutionen
dc.subjectmethod of fundamental solutionsen
dc.subjectThermoelastic materialsen
dc.subjectTikhonov regularization methoden
dc.subjectDynamic loadsen
dc.subjectGeneralized cross-validation criterionsen
dc.subjectinverse boundary value problemen
dc.subjectlinear thermoelasticityen
dc.subjectmethod of particular solutionsen
dc.subjectOptimal regularizationen
dc.subjectregularizationen
dc.titleA numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticityen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1002/num.21898
dc.description.volume31
dc.description.issue1
dc.description.startingpage168
dc.description.endingpage201
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 :7</p>en
dc.source.abbreviationNumer Methods Partial Differential Equationsen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


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