Borman, DJ, Ingham, DB, Johansson, T and Lesnic, D (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. J. Trevelyan , 193 - 202 .
Available under licence : See the attached licence file.
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.
|Item Type:||Proceedings Paper|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Engineering (Leeds) > School of Process, Environmental and Materials Engineering (Leeds) > Centre for Computational Fluid Dynamics (Leeds)
The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
|Depositing User:||Symplectic Publications|
|Date Deposited:||28 Jan 2011 12:46|
|Last Modified:||15 Sep 2014 04:01|
Available Versions of this Item
- The Method of Fundamental Solutions for Direct Cavity Problems in EIT. (deposited 28 Jan 2011 12:46) [Currently Displayed]