Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

doi:10.4208/cicp.OA-2018-0104

	Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media
	Yuan, Long 1; Hu, Qiya2,3
	2019-05-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	25 期号:5 页码:1496-1522
摘要	In this paper we investigate the plane wave discontinuous Galerkin method for three-dimensional anisotropic time-harmonic Maxwell's equations with diagonal matrix coefficients. By introducing suitable transformations, we define new plane wave basis functions and derive error estimates of the approximate solutions generated by the proposed discretization method for the considered homogeneous equations. In the error estimates, some dependence of the error bounds on the condition number of the coefficient matrix is explicitly given. Combined with local spectral element method, we further prove a convergence result for the nonhomogeneous case. Numerical results verify the validity of the theoretical results, and indicate that the resulting approximate solutions generated by the PWDG possess high accuracies.
关键词	Time-harmonic Maxwell's equations anisotropic media plane-wave basis error estimates nonhomogeneous
DOI	10.4208/cicp.OA-2018-0104
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	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000455964200009
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/32303
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya
作者单位	1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, 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. Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2019,25(5):1496-1522.
APA	Yuan, Long,&Hu, Qiya.(2019).Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,25(5),1496-1522.
MLA	Yuan, Long,et al."Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 25.5(2019):1496-1522.