We focus on the reconstruction of defects, characterized by a Dirichlet condition, in a medium governed by the wave equation, from a single Cauchy boundary measurement. Our approach relies on the coupling of a non-standard level set method and a new version of the quasi-reversibility method adapted to the wave equation. We present several numerical results to illustrate the efficiency of the method. This is a joint work with Laurent Bourgeois and Dmitry Ponomarev.

This presentation is part of Minisymposium “MS1 - Inverse scattering and electrical impedance tomography (2 parts)”
organized by: Nuutti Hyvönen (Aalto University) , Roland Griesmaier (Karlsruhe Institute of Technology) .

Authors:

Jeremi Darde (Universite Paul Sabatier)

Keywords:

inverse problems, partial differential equation models