Technion - Israel Institute of Technology Department of Mathematics ============================================ PDE AND APPLIED MATHEMATICS SEMINAR ============================================ 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 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 done in collaboration with F. Nataf, M. Kray of University of Paris 6, France, and E. Turkel of Tel Aviv University. For further info: Gershon Wolansky <gershonw@math.technion.ac.il> For past and future Applied Math/PDE seminars: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Gershon Wolansky <gershonw@math.technion.ac.il>