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報告承辦單位: 數學與統計學院

報告題目: The PML method for time-domain electromagnetic scattering problems. 

報告內容:  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.

報告人姓名:  魏昌坤

報告人所在單位: 首爾國立大學

報告人職稱/職務及學術頭銜:    博士后

報告時間:  2021年11月25日15:00－15:40

報告方式: 騰訊會議ID: 838 2530 8952

報告人簡介:  魏昌坤，首爾國立大學博士后。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。