Robust obstacle reconstruction in an elastic medium

Marc Dambrine (1) , Viacheslav Karnaev

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

We study the inverse problem of the reconstruction of an obstacle in an elastic media from boundary measurements. We assume that the data is noised and that a statistical model for the data is at hand. We propose and study a reconstruction algorithm based a weighted combination of the first two moments of the Kohn-Vogelius criterion. By numerical results in dimension two, the applicability and feasibility of our approach is demonstrated.

Domaines: Optimisation et contrôle [math.OC]

Marc Dambrine, Viacheslav Karnaev. Robust obstacle reconstruction in an elastic medium. Discrete and Continuous Dynamical Systems - Series B, 2024, 29 (1), pp.151-173. ⟨10.3934/dcdsb.2023089⟩. ⟨hal-03614896⟩