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The Method Of Fundamental Solutions for Detection of Cavities in EIT

Borman, D., Ingham, D.B., Johansson, B.T. and Lesnic, D. (2009) The Method Of Fundamental Solutions for Detection of Cavities in EIT. Journal of Integral Equations and Applications, 21 (3). 381 -404. ISSN 0897-3962

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Abstract

In this paper, the method of fundamental solutions (MFS) is used to solve numerically an inverse problem which consists of finding an unknown cavity within a region of interest based on given boundary Cauchy data. A range of examples are used to demonstrate that the technique is very effective at locating cavities in both two- and threedimensional geometries for exact input data. The technique is then developed to include a regularisation parameter that enables cavities to be located accurately and stably even for noisy input data.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Rocky Mountain Mathematics Consortium. Reproduced in accordance with the publisher's self-archiving policy.
Keywords: Electrical impedance tomography, inverse problems, method of fundamental solutions
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Process, Environmental and Materials Engineering (Leeds) > Centre for Computational Fluid Dynamics (Leeds)
Depositing User: Miss Elizabeth Winning
Date Deposited: 22 Jan 2010 17:50
Last Modified: 08 Feb 2013 17:06
Published Version: http://dx.doi.org/10.1216/JIE-2009-21-3-1
Status: Published
Publisher: Rocky Mountain Mathematics Consortium
Refereed: Yes
Identification Number: 10.1216/JIE-2009-21-3-1
URI: http://eprints.whiterose.ac.uk/id/eprint/10313

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