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The method of fundamental solutions for detection of cavities in EIT. (English) Zbl 1189.78059
Summary: 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.

78M50 Optimization problems in optics and electromagnetic theory
92C55 Biomedical imaging and signal processing
65R32 Numerical methods for inverse problems for integral equations
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