Crack detection using electrostatic measurements
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 35 (2001) no. 3, p. 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
Keywords: inverse boundary value problem, nondestructive testing, crack
@article{M2AN_2001__35_3_595_0,
author = {Br\"uhl, Martin and Hanke, Martin and Pidcock, Michael},
title = {Crack detection using electrostatic measurements},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {35},
number = {3},
year = {2001},
pages = {595-605},
zbl = {0985.35103},
mrnumber = {1837086},
language = {en},
url = {http://www.numdam.org/item/M2AN_2001__35_3_595_0}
}

Brühl, Martin; Hanke, Martin; Pidcock, Michael. Crack detection using electrostatic measurements. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 35 (2001) no. 3, pp. 595-605. http://www.numdam.org/item/M2AN_2001__35_3_595_0/

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