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Recovery of cracks using a reciprocity gap function

Alves, Carlos J. S.; Ben Abdallah, Jalel; Jaoua, Mohamed

Inverse Problems in Engineering: Theory and Practice - Volume I (H. Orlande, editor), E-papers Publ.House (2003), pp. 365-372

We are interested in this paper in the recovery of cracks from boundary measurements. We will be making use of a function that we will call "point-source reciprocity gap function", which comes 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 domain may provides a possible tool to the identification of the cracks, using functions that we will call "cracklets".