报告承办单位: 数学与统计学院

报告题目: The PML method for time-domain electromagnetic scattering problems. 

报告内容:  In this talk, a perfectly matched layer (PML) method is introduced to solve the 3D time-domain electromagnetic scattering problems. The PML problem is defined in a spherical layer and derived by using the Laplace transform and real coordinate stretching in the transformed domain. The well-posedness and stability estimate of the PML problem are first proved by using the Laplace transform and the energy method. The exponential convergence of the PML method is then established in terms of the thickness of the layer and the PML absorbing parameter. As far as we know, this is the first convergence result for the time-domain PML method for the three-dimensional 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. This talk is based on a joint work with Prof. Jiaqing Yang and Prof. Bo Zhang.

报告人姓名:  魏昌坤

报告人所在单位: 首尔国立大学

报告人职称/职务及学术头衔:    博士后

报告时间:  2021年11月25日15:00－15:40

报告方式: 腾讯会议ID: 838 2530 8952

报告人简介:  魏昌坤，首尔国立大学博士后。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。