Abstract <p> This paper solves the inverse elastic wave scattering problem using the direct sampling method. Based on the scattered field of the elastic wave, a new indicator function is introduced, and the theoretical analysis is carried out, which demonstrates the effectiveness of our method. In practice, the scattered data may contain noise, and a modified indicator function is developed; furthermore, the stability analysis is also implemented to confirm the robustness of the proposed approach. Numerical examples are provided to clarify the effectiveness and robustness of our method. </p>

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Direct sampling method for the inverse elastic wave scattering problem

  • Hong Guo,
  • Jin Huang,
  • Zhaoxing Li

摘要

Abstract

This paper solves the inverse elastic wave scattering problem using the direct sampling method. Based on the scattered field of the elastic wave, a new indicator function is introduced, and the theoretical analysis is carried out, which demonstrates the effectiveness of our method. In practice, the scattered data may contain noise, and a modified indicator function is developed; furthermore, the stability analysis is also implemented to confirm the robustness of the proposed approach. Numerical examples are provided to clarify the effectiveness and robustness of our method.