讲座主题：An introduction to the PML method for time-domain scattering problems

专家姓名：魏昌坤

工作单位：北京交通大学数学与统计学院

讲座时间：2022年11月1日 15:00-16:00

讲座地点：腾讯会议：233960567

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, I firstly introduce briefly the main theoretical and numerical results on the time-domain scattering problems, especially focusing on the time-domain perfectly matched layer (PML) method. Then I will report a recent work on the PML analysis for the 3D time-domain electromagnetic scattering problems. The exponential convergence of the PML method is established in terms of the thickness of the layer and the PML parameter. As far as we know, this is the first convergence result for the time-domain PML method for the 3D Maxwell equations. Our proof is mainly based on the stability estimates of solutions of the truncated PML problem and the exponential decay estimates of the stretched dyadic Green’s function for the Maxwell equations in the free space.

主讲人介绍：

魏昌坤，北京交通大学数学与统计学院讲师。主要研究领域为散射与反散射的数学理论与计算，在SIAM J. Numer. Anal.、Sci. China-Math.、ESAIM-Math. Model.Numer. Anal.等杂志发表多篇学术论文。