Inverse inclusion problem: A stable method to determine disks
Résumé
In this paper we are interested in inverse inclusion problem in the plane. We derive uniqueness and Hölder stability results of the inclusion recovery problem using a single boundary measurement, under the assumption that the inclusion has a circular shape. We also propose a simple minimizing scheme for the recovery of a disk. Our numerical results show that the Hölder power in the stability estimate is close to one.
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