The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

doi:10.4208/aamm.OA-2017-0272

	The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
	Yuan, Long 1; Hu, Qiya2,3
	2018-10-01
发表期刊	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN	2070-0733
卷号	10 期号:5 页码:1126-1157
摘要	The plane wave least-squares method combined with local spectral finite elements has been used effectively to solve time-harmonic acoustic and electromagnetic wave propagation with complex wavenumbers. We develop the plane wave least-squares method and the ultra weak variational formulation for the nonhomogeneous case of the electromagnetic wave propagation in anisotropic media. We derive error estimates of the approximation solutions generated by these methods in one special case of TE mode scattering. Numerical results indicate that the resulting approximate solutions generated by these two methods possess high accuracy and verify the validity of the theoretical results.
关键词	Electromagnetic wave plane wave least-squares ultra weak variational formulation anisotropic media plane-wave basis error estimates
DOI	10.4208/aamm.OA-2017-0272
语种	英语
资助项目	China NSF[11501529] ; Qinddao applied basic research project[17-1-1-9-jch] ; Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents ; Natural Science Foundation of China[G11571352]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000453595500005
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32026
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Long
作者单位	1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, 579 Qian Wan Gang Rd, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Scient Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Long,Hu, Qiya. The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2018,10(5):1126-1157.
APA	Yuan, Long,&Hu, Qiya.(2018).The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,10(5),1126-1157.
MLA	Yuan, Long,et al."The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 10.5(2018):1126-1157.