报告题目：From source to obstacle: recovering both targets by elastic scattering measurements
报 告 人：常燕 副研究员 哈尔滨工业大学
报告时间：2024年12月20日 16:00-17:00
报告地点：数学楼三楼研讨室5
校内联系人：吕俊良 lvjl@jlu.edu.cn
报告摘要：We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple targets. In the first phase, we develop several indicator functionals to determine the source locations and the polarizations from the total field data. In the second phase, we propose an iteration method of Newton's type to reconstruct the shape of the obstacle from the approximate scattered field. Using the layer potential representations on an auxiliary curve inside the obstacle, the scattered field together with its derivative on each iteration surface can be easily derived. An explicit derivative is provided for the Newton-type method. Numerical results are presented to corroborate the effectiveness and efficiency of the proposed method.
报告人简介：常燕，哈尔滨工业大学物理学院博士后副研究员，2024年12月毕业于哈尔滨工业大学数学学院，获理学博士学位。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。博士期间在“Inverse Problems”、“Journal of Computational Physics”和“SIAM Journal on Scientific Computing”等期刊发表SCI检索学术论文8篇，参与国家自然科学基金面上项目两项。
