報告題目：Perfectly matched layer method for the wave scattering problem by a step-like surface
報 告 人： 朱笑朋 博士後
所在單位： 浙江大學
報告時間：2024年5月15日 星期三 下午15:30-16：00
報告地點：騰訊會議 ID：785-154-326
校内聯系人：餘永毅 yuyy122@jlu.edu.cn
報告摘要： This talk is concerned with the convergence theory of 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. A piecewise circular PML is defined by introducing two types of complex coordinates transformations in the two subregions, respectively. A PML variational problem is proposed 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. Numerical examples validate the theory and demonstrate the effectiveness of the proposed PML.
報告人簡介：朱笑朋，2018年本科畢業于鄭州大學，2023年博士畢業于中國科學院數學與系統科學研究院，2022-2023年赴美國普渡大學訪問一年，目前是浙江大學包剛院士的博士後，主要從事散射問題的研究。
