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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.
@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 },
pages = {595--605},
publisher = {EDP-Sciences},
volume = {35},
number = {3},
year = {2001},
mrnumber = {1837086},
zbl = {0985.35103},
language = {en},
url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_595_0/}
}
TY - JOUR AU - Brühl, Martin AU - Hanke, Martin AU - Pidcock, Michael TI - Crack detection using electrostatic measurements JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2001 SP - 595 EP - 605 VL - 35 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_595_0/ LA - en ID - M2AN_2001__35_3_595_0 ER -
%0 Journal Article %A Brühl, Martin %A Hanke, Martin %A Pidcock, Michael %T Crack detection using electrostatic measurements %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2001 %P 595-605 %V 35 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_595_0/ %G en %F M2AN_2001__35_3_595_0
Brühl, Martin; Hanke, Martin; Pidcock, Michael. Crack detection using electrostatic measurements. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 3, pp. 595-605. http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_595_0/