报告人：胡广辉 教授 南开大学数学科学学院
报告时间：2024年1月23日14:45-15:30
报告地点：上海财经大学红瓦楼826
报告摘要：We consider a multi-frequency factorization method for imaging the support of a wave-number-dependent source function. It is supposed that the source function is given by the Fourier transform of some time-dependent source with a priori given radiating period. Using the multi-frequency far-field data at a fixed observation direction, we provide a computational criterion for characterizing the smallest strip containing the support and perpendicular to the observation direction. The far-field data from sparse observation directions can be used to recover a Θ-convex polygon of the support. The inversion algorithm is proven valid even with multi-frequency near-field data in three dimensions. The connections to time-dependent inverse source problems are discussed in the near-field case. Finally, we show numerical tests and analysis in both two and three dimensions.
报告人简介：胡广辉，现任南开大学数学科学学院科学工程与计算系教授、系主任、博士生导师。2009年获中国科学院数学与系统科学研究院博士学位。2009至2016年在德国莱布尼茨协会维尔斯特拉斯研究所做博士后工作. 2016年3月份入选国家海外高层次青年人才计划，2016.09-2020.05就工作于北京计算科学研究中心，2020年3月份获得德国洪堡资深学者奖学金。胡广辉博士主要从事波方程的数学理论研究和偏微分方程反问题及其计算方法研究,目前已发表学术论文80余篇。
报告邀请人：刘可伋教授