报告人：王海兵教授

报告题目：Numerical methods for the forward and inverse problems of the wave equation by layer potentials

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 multiple obstacles. An efficient numerical algorithm is proposed for simulating the multiple scattering effects via a decomposition method. Finally, we consider an inverse source problem for the wave equation. We derive two novel approaches for reconstructing the space-time dependent source function from the measurement of the wave field at a fixed point, by injecting high contrast droplets into the domain to image.

报告时间：2025年9月24日  15：30-17：00

报告地点：腾讯会议

报告人简介：王海兵，MK体育MK体育教授，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MK体育的理学博士学位。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。