Computational & Applied Math Seminar

Fourier method for reconstructing elastic body force from the coupled-wave field

  • Speaker: Xianchao Wang (City University of Hong Kong)

  • Time: May 19, 2021, 14:00-15:00

  • Location: Tencent Meeting ID 140 142 882

Abstract

This talk is concerned with the inverse source problem of the time-harmonic elastic waves. A novel non-iterative reconstruction scheme is proposed for determining the elastic body force by using the multi-frequency Fourier expansion. The key ingredient of the approach is to choose appropriate admissible frequencies and establish an relationship between the Fourier coefficients and the coupled-wave field of compressional wave and shear wave. Both theoretical justifications and numerical examples are presented to verify the validity and robustness of the proposed method.

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