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 this technique is very effective at locating cavities in both two- and three-dimensional geometries for exact input data. The MFS is then developed to include a regularisation parameter that enables cavities to be located accurately and stably even for noisy input data.
Original language | English |
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Pages (from-to) | 381-404 |
Number of pages | 24 |
Journal | Journal of Integral Equations and Applications |
Volume | 21 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Oct 2009 |
Keywords
- inverse problems
- method of fundamental solutions
- Electrical impedance tomography