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| HAL : hal-00511298, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Time Reversed Absorbing Conditions |
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| Franck Assous 1Marie Kray 2 |
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| (26/07/2010) |
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| The aim of this paper is to introduce the time reversed absorbing conditions (TRAC) in time reversal methods. These new boundary conditions enable one to ``recreate the past'' without knowing the source which has emitted the signals that are back-propagated. This new method does not rely on any {\em a priori} knowledge of the physical properties of the inclusion. We prove an energy estimate for the resulting non-standard boundary value problem. Two applications to inverse problems are given. |
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| 1 : | Department of Mathematics |
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Bar Ilan University |
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| 2 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie |
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| 3 : | Department of Mathematics |
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Tel Aviv University |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00511298, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00511298 | |
| oai:hal.archives-ouvertes.fr:hal-00511298 | |
| Contributeur : Frédéric Nataf | |
| Soumis le : Mardi 24 Août 2010, 14:57:03 | |
| Dernière modification le : Mardi 24 Août 2010, 15:02:11 | |
