講座主題：An introduction to the PML method for time-domain scattering problems
專(zhuān)家姓名：魏昌坤
工作單位：北京交通大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
講座時(shí)間：2022年11月1日 15:00-16:00
講座地點(diǎn)：騰訊會(huì)議：233960567
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院講師。主要研究領(lǐng)域?yàn)樯⑸渑c反散射的數(shù)學(xué)理論與計(jì)算，在SIAM J. Numer. Anal.、Sci. China-Math.、ESAIM-Math. Model.Numer. Anal.等雜志發(fā)表多篇學(xué)術(shù)論文。
