講座主題：An introduction to the PML method for time-domain scattering problems
專家姓名：魏昌坤
工作單位：北京交通大學數學與統計學院
講座時間：2022年11月1日 15:00-16:00
講座地點：騰訊會議：233960567
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
魏昌坤，北京交通大學數學與統計學院講師。主要研究領域為散射與反散射的數學理論與計算，在SIAM J. Numer. Anal.、Sci. China-Math.、ESAIM-Math. Model.Numer. Anal.等雜志發表多篇學術論文。
