Reconstruction of closely spaced small inclusions

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In this paper we establish an explicit asymptotic formula for the steady state voltage perturbations caused by closely spaced small conductivity inhomogeneities. Based on this new formula we design a very effective numerical method to identify the location and some geometric features of these inhomogeneities from a finite number of boundary measurements. The viability of our approach is documented by numerical examples.
Publisher
SIAM PUBLICATIONS
Issue Date
2005
Language
English
Article Type
Article
Keywords

INVERSE CONDUCTIVITY PROBLEM; SMALL-DIAMETER; BOUNDARY MEASUREMENTS; ELECTROMAGNETIC-FIELDS; ASYMPTOTIC EXPANSIONS; SMALL INHOMOGENEITIES; POLARIZATION TENSORS; IDENTIFICATION; FORMULAS; PERTURBATIONS

Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.42, no.6, pp.2408 - 2428

ISSN
0036-1429
DOI
10.1137/S0036142903422752
URI
http://hdl.handle.net/10203/88963
Appears in Collection
MA-Journal Papers(저널논문)
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