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Fast multipole method in layered media

发布日期:2019-06-24 浏览量:7

Title: Fast multipole method in layered media

报告人:汪波

时   间:2019年6月25日(周二)10:00-11:30

地   点:张江校区微电子楼369会议室

 

Abstract:

A fast multipole method (FMM) is presented for the computation of long-range interactions of wave sources embedded in 3-D layered media. The layered media Green’s function for the Helmholtz equation, which satisfies the transmission conditions at material interfaces, is decomposed into a free space component and four types of reaction field component from wave reflections and transmissions through the layered media. The proposed algorithm is a combination of the classic FMM for the free space component and FMMs specifically designed for the four types reaction component, made possible by new multipole expansions (MEs) and local expansions (LEs) as well as the multipole-to-local translation (M2L) operators for the reaction field com- ponents. The FMMs for the reaction components, which are implemented with the target particles and equivalent polarization sources associated with the reaction field components, are found to be much more efficient than that for the free space component due to the fact that the equivalent polarization sources and the target particles are always separated by a material interface. As a result, the FMM algorithm developed for layered media has a similar com- putational cost as that for the free space. 

 

个人简介:

汪波 博士,副教授,于2011年在湖南师范大学获得博士学位。2011年9月至2013年8月期间在新加波国立大学Singapore-MIT Alliance从事博士后研究工作,此后2014年9月至2016年1月期间在新加波南洋理工大学交流访学,合作老师王立联教授。2018年1月至今在美国南卫理公会大学(smu)交流访学,合作老师蔡伟教授。主要研究方向包括求解超材料中麦克斯韦方程组的间断有限元方法、散射问题的高精度数值模拟方法、一致网格上求解界面问题的杂交间断有限元方法、分层介质中快速多极算法等。先后在SIAM Appl. Math., IMA J. Numer. Anal., J. Comput. Phys., Comput. Methods Appl. Mech. Eng., J. Comput. Appl. Math.等期刊上发表论文近10多篇,主持国际自然科学基金项目三项。


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