Conditions aux limites absorbantes retournées temporellement.

Franck Assous; Marie Kray; Frédéric Nataf; Eli Turkel

doi:10.1016/j.crma.2010.09.014

Conditions aux limites absorbantes retournées temporellement.

Translated title of the contribution: Time reversed absorbing conditions

Franck Assous, Marie Kray, Frédéric Nataf, Eli Turkel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The aim of this note 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 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.

Translated title of the contribution	Time reversed absorbing conditions
Original language	French
Pages (from-to)	1063-1067
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	348
Issue number	19-20
DOIs	https://doi.org/10.1016/j.crma.2010.09.014
State	Published - Oct 2010

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10.1016/j.crma.2010.09.014

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Conditions aux limites absorbantes retournées temporellement.

Abstract

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