In this work we consider the recovery of internal cracks from boundary measurements. We will use a function that we call point-source reciprocity gap function, which may be obtained as a particular case of the reciprocity gap functional, applied to point-sources. This function can be calculated in each point of the outer domain, and we will show that the analytic continuation of this function to the inner domain provides a tool for the identification of the cracks inside, especially associating cracks to functions that we call cracklets.

CEMAT - Center for Computational and Stochastic Mathematics