报告题目： Perfectly matched layer method for scattering problems in two-layer media

报 告 人：郑伟英 研究

报告时间：2022/5/26 10:30-12:00

报告地点：腾讯会议 470-491-210

报告摘要：This talk is to study the convergence of the perfectly matched layer (PML) method for scattering problems in layered media. The PML method is widely used in the engineering literature and very efficient to solve wave scattering problems. In 2010, we first proved the exponential convergence of PML method for the Helmholtz scattering problem in two-layer media. Since the background materials are different in the upper and lower half spaces, the scattering waves will change their directions at the interface and split into reflective and refractive waves on two sides of the interface. The Green function of the scattering problem in layered media becomes very complicated. Their proof is very technical and depends on elaborates estimates for the Green function. In this talk, I develop new techniques to estimate the Green function and simplify the proof considerably. I shall also extend the theory to time-harmonic electromagnetic scattering problems in two-layer media.

报告人简介：郑伟英，中国科学院数学与系统科学研究院研究员，1996年本科毕业于郑州大学，2002年博士毕业于北京大学，2017年获国家杰出青年科学基金资助，2019年任中科院数学与系统科学研究院“冯康首席研究员”,中国工业与应用数学学会副秘书长。主要从事有限元方法的理论与应用研究，应用领域包括电磁和流体计算等。目前担任J. Comput. Math.， 数学学报等杂志的编委。