Afeka-Exact Sciences Seminar
 
Speaker: Franck Assous, Ariel University Center &  Bar Ilan University
 
Title: Time Reversed Absorbing Condition: Application to Inverse Problems
 
Date: Thursday 3/3/2011
 
Time: 13:00-14:00
 
Location: Kyria H-9, 38 Mivza Kadesh St. Tel-Aviv
 
Abstract:
We introduce the time-reversed absorbing conditions (TRAC) in
time-reversal methods. They enable one 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, from boundary
measurements, of the location and volume of an unknown inclusion. The
method does not rely on any  a priori knowledge of the physical properties
of the inclusion. Numerical tests with the wave and Helmholtz equations
illustrate the efficiency of the method. This technique is fairly
insensitive with respect to noise in the data.
 
This work was made in collaboration with F. Nataf, M. Kray of University
of Paris 6, France,
and E. Turkel of Tel Aviv University.
 
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Dalia Fishelov
School of Mathematical Sciences
Tel Aviv University
Tel-Aviv 69978, Israel
Phone:  972-3-640-5397  , FAX: 972-3-640-9357
 <http://www.math.tau.ac.il/~daliaf>
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Dalia Fishelov   <daliaf@post.tau.ac.il>