Karageorghis, A, Bin-Mohsin, B, Lesnic, D et al. (1 more author) (2014) Simultaneous numerical determination of a corroded boundary and its admittance. Inverse Problems in Science and Engineering, 23 (7). 1120 - 1137. ISSN 1741-5977
Abstract
In this paper, an inverse geometric problem for Laplace’s equation arising in boundary corrosion detection is considered. This problem, which consists of determining an unknown corroded portion of the boundary of a bounded domain and its admittance Robin coefficient from two pairs of boundary Cauchy data (boundary temperature and heat flux), is solved numerically using the meshless method of fundamental solutions. A non-linear minimization of the objective function is regularized, and the stability of the numerical results is investigated with respect to noise in the input data and various values of the regularization parameters involved.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in Inverse Problems in Science and Engineering on 16 October 2014, available online: http://www.tandfonline.com/doi/full/10.1080/17415977.2014.969728 |
Keywords: | inverse problem; Laplace’s equation; method of fundamental solutions; regularisation |
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: | 27 Jul 2015 10:42 |
Last Modified: | 03 Nov 2015 18:16 |
Published Version: | http://dx.doi.org/10.1080/17415977.2014.969728 |
Status: | Published |
Publisher: | Taylor and Francis |
Identification Number: | 10.1080/17415977.2014.969728 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:87136 |