Technion - Israel Institute of Technology
Department of Mathematics
DATE: Tuesday, May  17, 2011
SPEAKER: Frank  Assous , HUJI
TITLE:   Time Reversed Absorbing Condition: Construction & Application to
         Inverse Problems
PLACE:   Room 814, Amado Mathematics Building, Technion
TIME: 14:30
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 done in collaboration with F. Nataf, M. Kray of University
of Paris 6, France, and E. Turkel of Tel Aviv University.
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