免费A级毛片在线播放不收费,国产麻豆剧传媒精品国产av,最近最好的2019中文,最好看免费观看高清电影大全

長沙理工大學學術活動預告

報告承辦單位: 數學與統計學院

報告題目:  On well-posedness and convergence of UPML method for analyzing wave scattering in layered media

報告內容:  

In this talk, we propose a novel method to establish the well-posedness and convergence theory of uniaxial perfectly matched layer (UPML) method for a two-dimensional acoustic scattering problem by a compactly supported source in a two-layered medium. In particular, we solve a long standing problem by showing that the truncated layered

medium scattering problem is always resonance free regardless of the thickness and absorbing strength of UPML. The main idea is by considering an auxiliary waveguide problem, which is obtained by truncating the layered medium scattering problem through PML in the vertical direction only. The Green function due to a point source for this waveguide problem can be constructed explicitly based on separation of variables and Fourier transformation. We prove that such a construction is always well-defined regardless of the absorbing strength. The well-posedness of the fully UPML truncated scattering problem is therefore obtained by assembling the waveguide Green function through periodic extension. For the convergence part, we show that the UPML Green function converges to the exact layered Green function exponentially fast as the absorbing strength of UPML increases. This is a joint work with Jun Lai and Haijun Wu.

報告人姓名:  魯汪濤

報告人所在單位: 浙江大學數學科學學院

報告人職稱/職務及學術頭銜:    百人計劃研究員

報告時間:  2020年10月30日15:10-15:50

報告地點:理科樓A-419 

報告人簡介:  魯汪濤教授于2007年和2012年分別獲中國科學技術大學理學學士和理學博士學位，2012年同年獲得香港城市大學聯合培養博士學位。2013-2017年，赴密歇根州立大學開展博士后研究。研究興趣為計算光學和波散射問題的數學建模和數值算法。目前已在SISC、SIAP、MMS、JCP等雜志上發表多篇論文。