Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media

doi:10.1016/j.camwa.2021.06.008

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	Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media
	Yuan, Long 1; Hu, Qiya 2,3
	2021-09-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	97 页码:355-374
摘要	In this paper we are concerned with plane wave discontinuous Galerkin (PWDG) methods for Helmholtz equation and time-harmonic Maxwell equations in three-dimensional anisotropic media, for which the coefficients of the equations are matrices instead of numbers. We first define novel plane wave basis functions based on rigorous choices of scaling transformations and coordinate transformations. Then we derive the error estimates of the resulting approximate solutions with respect to the condition number of the coefficient matrices, under a new assumption on the shape regularity of polyhedral meshes. Numerical results verify the validity of the theoretical results, and indicate that the approximate solutions generated by the proposed PWDG method possess high accuracy.
关键词	Helmholtz equation Time-harmonic Maxwell's equations Anisotropic media Plane wave basis Error estimates
DOI	10.1016/j.camwa.2021.06.008
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000688441500008
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59160
专题	中国科学院数学与系统科学研究院
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 & Sci 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. Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2021,97:355-374.
APA	Yuan, Long,&Hu, Qiya.(2021).Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media.COMPUTERS & MATHEMATICS WITH APPLICATIONS,97,355-374.
MLA	Yuan, Long,et al."Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media".COMPUTERS & MATHEMATICS WITH APPLICATIONS 97(2021):355-374.