Conditions aux limites absorbantes retournées temporellement.

Translated title of the contribution: Time reversed absorbing conditions

Franck Assous, Marie Kray, Frédéric Nataf, Eli Turkel

Research output: Contribution to journalArticlepeer-review

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 contributionTime reversed absorbing conditions
Original languageFrench
Pages (from-to)1063-1067
Number of pages5
JournalComptes Rendus Mathematique
Volume348
Issue number19-20
DOIs
StatePublished - Oct 2010

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