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Article Dans Une Revue Inverse Problems Année : 2013

A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods

Maya de Buhan
Marie Kray

Résumé

The aim of this paper is to propose a new method to solve the inverse scattering problem. This method works directly in the time-dependent domain, using the wave equation and proceeds in two steps. The first step is the Time-Reversed Absorbing Condition ({\em TRAC}) method to reconstruct and regularize the signal and to reduce the computational domain. The second step is the Adaptive Inversion method to solve the inverse problem from the {\em TRAC} data, by using basis and mesh adaptation. This strategy allows to recover the position, the shape and the properties of the scatterer in a precise and robust manner.
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Dates et versions

hal-00799110 , version 1 (11-03-2013)
hal-00799110 , version 2 (27-02-2015)

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Maya de Buhan, Marie Kray. A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods. Inverse Problems, 2013, 29 (8), http://iopscience.iop.org/0266-5611/29/8/085009/pdf/0266-5611_29_8_085009.pdf. ⟨10.1088/0266-5611/29/8/085009⟩. ⟨hal-00799110v2⟩
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