Abstract

In this lecture, I will talk about the perfectly matched layer (PML) method for scattering problems in inhomogeneous materials, particularly, in layered media and half space with step-like surface. I will present a framework to analyze Green’s functions and the well-posedness of approximate problems with PML boundary conditions. For incident waves impinged on a step-like surface, the scattering problem is formulated into an interface problem. We propose a piecewise circular PML method to solve the scattering problem. Existence, uniqueness, and error estimates are proved for the PML solution. 

Biography

郑伟英，中国科学院数学与系统科学研究院研究员，计算数学与科学工程计算研究所所长。主要研究电磁场问题和半导体器件问题的理论和计算方法，在分层介质散射问题、电工设备的建模和计算方法方面取得系列进展。