Reconstructing discontinuities using complex geometrical optics solutions
Resource
SIAM Journal on Applied Mathematics 68 (4): 1026-1044
Journal
SIAM Journal on Applied Mathematics
Journal Volume
68
Journal Issue
4
Pages
1026-1044
Date Issued
2008
Author(s)
Uhlmannt, G.
Abstract
In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside a domain filled with known conductivity from local boundary measurements. Computational results demonstrate the versatility of these solutions to determine electrical inclusions.
SDGs
Type
journal article
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