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Borman, DJ, Ingham, DB, Johansson, T et al. (1 more author) (2007) The Method of Fundamental Solutions for Direct Cavity Problems in EIT. In: Trevelyan, J, (ed.) Advances in Boundary Integral Methods-Proceedings of 6th UK conference on Boundary Integral Methods (proceedings). Advances in Boundary Integral Methods-Proceedings of 6th UK conference on Boundary Integral Methods, Durham. Durham Publications , 193 - 202 . ISBN 978-0-9535558-3-3
Abstract
The Method of Fundamental Solutions (MFS) is an effective technique for solving linear elliptic partial differential equations, such as the Laplace and Helmholtz equation. It is a form of indirect boundary integral equation method and a technique that uses boundary collocation or boundary fitting. In this paper the MFS is implemented to solve A 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 two-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: | Proceedings Paper |
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Authors/Creators: |
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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) > Computational Fluid Dynamics (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Feb 2012 15:34 |
Last Modified: | 28 Mar 2018 21:16 |
Status: | Published |
Publisher: | Durham Publications |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:43699 |
Available Versions of this Item
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The Method of Fundamental Solutions for Direct Cavity Problems in EIT. (deposited 28 Jan 2011 12:46)
- The Method of Fundamental Solutions for Direct Cavity Problems in EIT. (deposited 23 Feb 2012 15:34) [Currently Displayed]