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

Abstract : 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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Inverse Problems, IOP Publishing, 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>
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https://hal.archives-ouvertes.fr/hal-00799110
Contributeur : Maya De Buhan <>
Soumis le : vendredi 27 février 2015 - 13:58:01
Dernière modification le : mardi 11 octobre 2016 - 11:57:53

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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, IOP Publishing, 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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