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Pré-Publication, Document De Travail Année : 2011

Time Reversed Absorbing Condition: Application to inverse problems

Franck Assous
Marie Kray

Résumé

The aim of this paper is to introduce the time reversed absorbing conditions ({\em TRAC}) in time reversal methods. They enable to ``recreate the past'' without knowing the source which has emitted the signals that are back-propagated. We present two applications in inverse problems: the reduction of the size of the computational domain and the determination of the location and volume of an unknown inclusion from boundary measurements. The method does not rely on any {\em a priori} knowledge of the physical properties of the inclusion. Numerical tests on the wave and Helmholtz equations illustrate the efficiency of the method which proves to be very robust with respect to noise in the data.
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Dates et versions

hal-00491912 , version 1 (14-06-2010)
hal-00491912 , version 2 (10-02-2011)

Identifiants

  • HAL Id : hal-00491912 , version 2

Citer

Franck Assous, Marie Kray, Frédéric Nataf, Eli Turkel. Time Reversed Absorbing Condition: Application to inverse problems. 2011. ⟨hal-00491912v2⟩
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