A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations

doi:10.1007/s10444-017-9542-z

	A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
	Hu, Qiya1,3 ; Yuan, Long 2
	2018-02-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	44 期号:1 页码:245-275
摘要	In this paper we are concerned with plane wave discretizations of nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. To this end, we design a plane wave method combined with local spectral elements for the discretization of such nonhomogeneous equations. This method contains two steps: we first solve a series of nonhomogeneous local problems on auxiliary smooth subdomains by the spectral element method, and then apply the plane wave method to the discretization of the resulting (locally homogeneous) residue problem on the global solution domain. We derive error estimates of the approximate solutions generated by this method. The numerical results show that the resulting approximate solutions possess high accuracy.
关键词	Helmholtz equation Time-harmonic Maxwell equations Nonhomogeneous Local spectral element Plane wave basis functions Error estimates
DOI	10.1007/s10444-017-9542-z
语种	英语
资助项目	Natural Science Foundation of China[G11571352] ; China NSF[11501529] ; Qingdao applied basic research project[17-1-1-9-jch]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000423693000010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29409
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya; Yuan, Long
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Scient Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Shan Dong Univ Sci & Technol, Coll Math & Syst Sci, 579 Qian Wan Gang Rd, Qingdao 266590, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qiya,Yuan, Long. A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2018,44(1):245-275.
APA	Hu, Qiya,&Yuan, Long.(2018).A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,44(1),245-275.
MLA	Hu, Qiya,et al."A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 44.1(2018):245-275.