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 0897-3962Full text available as:
Available under License : See the attached licence file.
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.
|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|
|Publisher:||Rocky Mountain Mathematics Consortium|
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