Tel Aviv University
  School of Mathematical Sciences
    Applied Mathematics Seminar
 
Date:          Tuesday March 8th, 2011, 15:10
Place:             Schreiber Bldg, Room 309
 
Speaker:     Franck Assous
         Ariel University Center & Bar Ilan University
 
Title: Time Reversed Absorbing Condition: Application to Inverse Problems
 
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.
 
For information about future seminars, see
 <http://www.tau.ac.il/~adid/AM_seminar_2010-201/AM_seminar_2010-2011.html>
 
______________________________________________________________________
 
Dr. Adi Ditkowski                                                     |
Department of Applied Mathematics                                     |
School of Mathematical Sciences          phone:  972-3-640-5987       |
Tel Aviv University,                     fax  :  972-3-640-9357       |
Tel Aviv, 69978 Israel                   email:   <adid@post.tau.ac.il>  |
______________________________________________________________________
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Adi Ditkowski   <adid@post.tau.ac.il>