Marin, L, Karageorghis, A, Lesnic, D et al. (1 more author) (2017) The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Inverse Problems in Science and Engineering, 25 (5). pp. 652-673. ISSN 1741-5977
Abstract
An inverse problem in static thermo-elasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from over-specified boundary data measured on an accessible portion of its boundary. The problem is linear but ill-posed. The uniqueness of the solution is established but the continuous dependence on the input data is violated. In order to reconstruct a stable and accurate solution, the method of fundamental solutions is combined with Tikhonov regularization where the regularization parameter is selected based on the L-curve criterion. Numerical results are presented in both two and three dimensions showing the feasibility and ease of implementation of the proposed technique.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Informa UK Limited, trading as Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in Inverse Problems in Science and Engineering on 7 June 2016, available online: http://www.tandfonline.com/10.1080/17415977.2016.1191072. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Thermo-elasticity, method of fundamental solutions, inverse problem |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 May 2016 10:26 |
Last Modified: | 01 Jul 2017 18:12 |
Published Version: | http://dx.doi.org/10.1080/17415977.2016.1191072 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/17415977.2016.1191072 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:99465 |