报告人：赵晓飞副教授

报告题目：Peudospectral methods with PML for nonlinear Klein-Gordon equation

报告摘要：

(1) In the talk, we consider the perfectly matched layer (PML) formulations for the nonlinear Klein-Gordon (NKG) equation and the numerical solutions. We shall first review a formulation proposed in the literature and present the limitation of its performance. Then, we shall propose a new simple PML and its numerical discretizations for the NKG.  

(2) In order to get higher order spatial accuracy, the regularized Bermudez type absorption functions are proposed. Moreover, it is shown to be insensitive to the PML parameters. Extensions are made to the nonrelativistic limit regime. In addition, in the non-relativistic regime, numerical examples lead to the conclusion that the error related to regularized Bermudez type absorption functions is insensitive to the small parameterεinvolved in the NKGE. We finally present a two-dimensional example showing that the strategy extends to the rotating NKGE where the vortex dynamics is very well-reproduced.

报告时间：2022年10月29日下午17:00-20:00

报告形式：腾讯会议；会议号：944-829-689

获取会议密码请发邮件至：yangchang@hit.edu.cn

报告人简介：赵晓飞，武汉大学数学与统计学院副教授，从事计算数学方面的研究，主要研究方向为色散和动力学类方程的数值离散和误差分析。2010年北京师范大学本科毕业，2014年新加坡国立大学博士毕业，2015-2018年在法国inria做博后， 2019年初加入武汉大学并入选国家高层次人才青年项目。