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Abstract: . In this paper we extend recent work on the detection of inclusions using electrostatic measurements to the problem of crack detection in a two-dimensional object. As in the inclusion case our method is based on a factorization of the di erence between two Neumann-Dirichlet operators. The factorization possible in the case of cracks is much simpler than that for inclusions and the analysis is greatly simpli ed. However, the directional information carried by the crack makes the practical... (Update)
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BibTeX entry: (Update)
Br uhl M, Hanke M and Pidcock M 2001 Crack detection using electrostatic measurements Math. Model. Numer. Anal. 35 595--605 http://citeseer.ist.psu.edu/uhl00crack.html More
@misc{ uhl01crack,
author = "B. uhl and M. Hanke and M. Pidcock",
title = "Crack detection using electrostatic measurements Math",
text = "Br uhl M, Hanke M and Pidcock M 2001 Crack detection using electrostatic
measurements Math. Model. Numer. Anal. 35 595--605",
year = "2001",
url = "citeseer.ist.psu.edu/uhl00crack.html" }
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100 Linear Integral Equations (context) - Kress - 1999
9 Determining cracks by boundary measurements (context) - Friedman, Vogelius - 1989
6 Characterization of the shape of a scattering obstacle using.. (context) - Kirsch - 1998
5 A boundary integral equation method for an inverse problem r.. (context) - Nishimura, Kobayashi - 1991
4 Unique determination of multiple cracks by two measurements (context) - Alessandrini, Valenzuela - 1996
4 A computational algorithm to determine crack locations from .. (context) - Bryan, Vogelius - 1994
4 A computational algorithm to determine cracks from electrost.. (context) - Santosa, Vogelius - 1991
3 Explicit characterization of inclusions in electrical impeda.. (context) - Br - 1999
3 A linear sampling method for inverse scattering from an open.. (context) - Kirsch, Ritter - 2000
2 the numerical solution of the direct scattering problem for .. (context) - onch - 1996
1 Unique determination of a collection of a nite number of cra.. (context) - Kim, Seo - 1996
1 Numerical implementation of two non-iterative methods for lo.. - Br, Hanke
1 erential Equations of Elliptic Type (context) - Miranda, Di - 1970
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