The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity
dc.contributor.author | Marin, L. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Marin, L. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:36:52Z | |
dc.date.available | 2019-12-02T10:36:52Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57259 | |
dc.description.abstract | We study the reconstruction of the missing thermal and mechanical fields on an inaccessible part of the boundary for two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy (Cauchy) data on the remaining accessible boundary. This problem is solved with the method of fundamental solutions (MFS) together with the method of particular solutions (MPS) via the MFS-based particular solution for two-dimensional problems in uncoupled thermoelasticity developed in Marin and Karageorghis (2012a, 2013). The stabilisation/regularization of this inverse problem is achieved by using the Tikhonov regularization method (Tikhonov and Arsenin, 1986), whilst the optimal value of the regularization parameter is selected by employing Hansen's L-curve method (Hansen, 1998). © 2013 Elsevier Ltd. All rights reserved. | en |
dc.source | International Journal of Solids and Structures | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880714914&doi=10.1016%2fj.ijsolstr.2013.06.006&partnerID=40&md5=b20042695d5af544be6b433978aee4b9 | |
dc.subject | Partial differential equations | en |
dc.subject | Inverse problems | en |
dc.subject | Elasticity | en |
dc.subject | Two dimensional | en |
dc.subject | Thermoelasticity | en |
dc.subject | Regularization | en |
dc.subject | Inverse problem | en |
dc.subject | Method of fundamental solutions | en |
dc.subject | Method of fundamental solutions (MFS) | en |
dc.subject | Cauchy problem | en |
dc.subject | Cauchy problems | en |
dc.subject | L-curve method | en |
dc.subject | L-curve methods | en |
dc.subject | Linear thermoelasticity | en |
dc.subject | Method of particular solution(MPS) | en |
dc.subject | Method of particular solutions (MPS) | en |
dc.title | The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.ijsolstr.2013.06.006 | |
dc.description.volume | 50 | |
dc.description.issue | 20-21 | |
dc.description.startingpage | 3387 | |
dc.description.endingpage | 3398 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :10</p> | en |
dc.source.abbreviation | Int.J.Solids Struct. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 |
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