Crack detection using electrostatic measurements
Fachbereich Mathematik, Johannes Gutenberg-Universität,
55099 Mainz, Germany. (email@example.com); (firstname.lastname@example.org)
2 School of Computing and Mathematical Sciences, Oxford Brookes University, Oxford OX3 0BP, Great Britain. (email@example.com)
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.
Mathematics Subject Classification: 35R30 / 31A25
Key words: Inverse boundary value problem / nondestructive testing / crack.
© EDP Sciences, SMAI, 2001