Computational & Applied Math Seminar

Co-recovery of an obstacle and its excitation sources from near-field scattering data

  • Speaker: Yukun Guo (Harbin Institute of Technology)

  • Time: Aug 31, 2022, 15:00-16:00

  • Location: Tencent Meeting ID 169-945-908, Passcode 220831

Abstract 

This talk is concerned with the inverse acoustic scattering problem of simultaneously reconstructing an obstacle as well as the associated point sources from the total-field measurements. A novel sampling-optimization approach is proposed to recover the target obstacle and source. We first obtain an initial and qualitative imaging of the source locations and shape of the obstacle by the direct sampling method. Then the optimization method is utilized to quantitatively produce the final reconstruction. Theoretical analysis will be provided to justify the applicability of the proposed approach and several numerical examples will be presented to illustrate the effectiveness.