报告题目：A perfectly matched layer method for wave scattering problem by a step-like surface

报 告 人： 郑伟英 研究员 

报告时间：2024年3月16日15:00-16:00

报告地点：格物楼数学研究中心528报告厅

报告摘要：This talk is concerned with the convergence theory of a circular perfectly matched layer (PML) method for wave scattering problems in a half plane bounded by a step-like surface. When a plane wave impinges upon the surface, the scattered waves compose of an outgoing radiative field and two known parts. The first part consists of two parallel reflected plane waves of different phases, which propagate in two different subregions separated by a half-line parallel to the wave direction. The second part stands for an outgoing corner-scattering field which is discontinuous and represented by a double-layer potential. We propose a PML variational problem to approximate the scattered waves. The exponential convergence of the PML solution is established by two results based on the technique of Cagniard-de Hoop (CDH) transform. First, we show that the discontinuous corner-scattering field decays exponentially in the PML. Second, we show that the transparent boundary condition (TBC) defined by the PML is an exponentially small perturbation of the original TBC defined by the radiation condition. Numerical examples validate the theory and demonstrate the effectiveness of the proposed PML.

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,主要研究电磁场问题和半导体器件的计算方法和理论。曾获国家杰出青年科学基金、中国科学院数学研究院“冯康首席研究员”、冯康科学计算奖等。