Convergence analysis of the PML method for time-domain electromagnetic scattering problems
报告人:杨家青
报告地点:腾讯会议
报告时间:2020年06月06日星期六14:30-15:30
邀请人:刁怀安
报告摘要:
In this talk, a perfectly matched layer (PML) method is proposed to solve the time-domain electromagnetic scattering problems in 3D effectively. The PML problem is defined in a spherical layer and derived by using the Laplace transform and real coordinate stretching in the frequency domain. The well-posedness and the stability estimate of the PML problem are first proved based on the Laplace transform and the energy method. The exponential convergence of the PML method is then established in terms of the thickness of the layer and the PML absorbing parameter. Our proof is mainly based on the stability estimates of solutions of the truncated PML problem and the exponential decay estimates of the stretched dyadic Green function for the Maxwell equations in the free space. This is a joint work with Prof. Bo Zhang and Dr. Changkun Wei.
会议网址:https://meeting.tencent.com/s/2HBPPYuOR0WE
会议ID:343 274 257
会议密码:202006
主讲人简介:
杨家青,西安交通大学数学与统计学院副教授、博导,研究方向为反问题的数学理论与计算方法,在Inverse Problems, SIAM J. Numer. Anal., SIAM J. Appl. Math., SIAM J Imag. Sci.等国际期刊发表学术论文20余篇。