A problem of extracting information about the location and shape of unknown cracks in a background medium from the Dirichlet-to-Neumann map is considered. An application of a new formulation of the probe method introduced by the author to the problem is given. The method is based on: the blowup property of sequences of special solutions of the governing equation for the background medium which are related to a singular solution of the equation; an explicit lower bound of an L2-norm of the gradient of the so-called reflected solution.
@article{1610,
title = {Inverse Crack Problem and Probe Method},
journal = {CUBO, A Mathematical Journal},
volume = {8},
year = {2006},
language = {en},
url = {http://dml.mathdoc.fr/item/1610}
}
Ikehata, Masaru. Inverse Crack Problem and Probe Method. CUBO, A Mathematical Journal, Tome 8 (2006) . http://gdmltest.u-ga.fr/item/1610/