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

Xianchao Wang, Jiaqi Zhu*, Minghui Song, Wei Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper 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 appropri-ate 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.

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalInverse Problems and Imaging
Volume16
Issue number2
DOIs
Publication statusPublished - Apr 2022

Scopus Subject Areas

  • Analysis
  • Modelling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

User-Defined Keywords

  • Coupled-wave field
  • Elastic body force
  • Fourier method
  • Inverse source problem

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