Crack detection using electrostatic measurements
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 595-605.

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 difference 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 simplified. However, the directional information carried by the crack makes the practical implementation of our algorithm more computationally demanding.

Classification : 35R30, 31A25
Mots-clés : inverse boundary value problem, nondestructive testing, crack 
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     title = {Crack detection using electrostatic measurements},
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     url = {http://archive.numdam.org/item/M2AN_2001__35_3_595_0/}
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Brühl, Martin; Hanke, Martin; Pidcock, Michael. Crack detection using electrostatic measurements. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 3, pp. 595-605. http://archive.numdam.org/item/M2AN_2001__35_3_595_0/

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