报告题目：The forward and inverse problems of the wave equation in three dimensions by layer potentials
报告人：王海兵 教授（东南大学）
邀请人：郑光辉
报告时间：2025年4月25日（周五）9:30--10:30
报告地点: 425 报告厅
报告摘要：In this talk, we show our recent works on numerical methods for solving the forward and inverse problems of the
wave equation in three dimensions by time-domain boundary integral equation methods. First, we consider the time-domain
acoustic scattering by a sound-soft or an impedance obstacle in three dimensions. We reformulate it as a time-domain
boundary integral equation. Then we propose a full discretization scheme by combining the convolution splines with a
Galerkin method. Second, we study the time-domain acoustic scattering problem by a cluster of small sound-soft obstacles.
We derive an asymptotic expansion of the scattered field as the size of the obstacles goes to zero, and then a numerical
algorithm for solving the scattering problem is proposed. Finally, we consider an inverse source problem for the wave equa-
tion. We derive a novel approach for reconstructing the space-time dependent source function from the measurement of the
wave at a fixed point, by injecting high contrast droplets into the domain to image.
报告人简介：王海兵，东南大学数学学院教授，博士研究生导师，主要从事偏微分方程反问题的研究。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。
