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RECONSTRUCTING DISCONTINUITIES USING COMPLEX GEOMETRICAL OPTICS SOLUTIONS.

Authors :
Uhlmann, Gunther
Wang, Jenn-Nan
Source :
SIAM Journal on Applied Mathematics. 2008, Vol. 68 Issue 4, p1026-1044. 19p. 2 Black and White Photographs, 3 Diagrams.
Publication Year :
2008

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00361399
Volume :
68
Issue :
4
Database :
Academic Search Index
Journal :
SIAM Journal on Applied Mathematics
Publication Type :
Academic Journal
Accession number :
31426077
Full Text :
https://doi.org/10.1137/060676350