Inverse Crack Problem and Probe Method
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Masaru Ikehata
ikehata@math.sci.gunma-u.ac.jp
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Abstract
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.
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Published
2006-04-01
How to Cite
[1]
M. Ikehata, “Inverse Crack Problem and Probe Method”, CUBO, vol. 8, no. 1, pp. 29–40, Apr. 2006.
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