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

讲座摘要

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.


个人简介

汪贤超,2019年毕业于哈尔滨工业大学数学学院计算数学专业,获理学博士学位。于2019年6月入选“香江学者计划”,并在香港城市大学开展为期2年的博士后研究。目前研究领域为数学物理反问题,主要方向为波动方程反散射问题的数值分析与计算。