报 告 人：王海兵教授 东南大学

报告时间：2025年10月17 日 9:30-10:30

报告地点：正新楼209教室

报告摘要：

In this talk, we show our recent works on inverse problems for diffusion equations. First, we consider an inverse boundary value problem. Two domain sampling methods, namely, the range test and no-response test are developed, and their convergences are proved. Second, we consider an inverse source problem with boundary measurement. A non-iterative reconstruction method, based on the range test idea, is developed, and its theoretical justification is provided. Third, we consider a coefficient inverse problem with discontinuous diffusion coefficient. An optimization-based method with adaptive regularization is studied. Finally, we consider a backward problem with non-smooth initial status. We develop an accurate and stable inversion scheme by leveraging multi-temporal observations through data assimilation. For all these inverse problems, numerical experiments are presented to show the effectiveness and efficiency of the proposed methods.

报告人简介:

王海兵，东南大学欧洲杯 教授，博士研究生导师，主要从事数学物理反问题的研究。2012年获得北海道大学和东南大学的理学博士学位。现任中国数学会计算数学分会常务理事。目前正主持一项国家自然科学基金面上项目，代表性研究成果发表于SIAM系列，IP, JDE, JCP等学术刊物。