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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.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.subjectProblem solvingen
dc.subjectNumerical methodsen
dc.subjectInverse problemsen
dc.subjectBoundary value problemsen
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.titleA numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticityen
dc.description.endingpage201Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied SciencesΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.description.notes<p>Cited By :7</p>en
dc.source.abbreviationNumer Methods Partial Differential Equationsen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]

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