Tel-Aviv University
School of Mathematical Sciences
Department of Applied Mathematics

Applied Mathematics Seminar


Tuesday, March 8th, 2011

Schreiber 309, 15:10



Franck Assous

Ariel University Center & Bar Ilan University

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.