Borman, DJ, Ingham, DB, Johansson, BT et al. (1 more author) (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
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 three-dimensional 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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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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 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) > Energy Tech & Innovation Initiative (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) > Inst for Pathogen Control Engineering (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Miss Elizabeth Winning |
Date Deposited: | 11 Jul 2014 08:26 |
Last Modified: | 12 Jul 2014 06:14 |
Published Version: | http://dx.doi.org/10.1216/JIE-2009-21-3-383 |
Status: | Published |
Publisher: | Rocky Mountain Mathematics Consortium |
Refereed: | Yes |
Identification Number: | 10.1216/JIE-2009-21-3-383 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79748 |