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Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media
Yuan, Long1; Hu, Qiya2,3
2019-05-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume25Issue:5Pages:1496-1522
AbstractIn 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.
KeywordTime-harmonic Maxwell's equations anisotropic media plane-wave basis error estimates nonhomogeneous
DOI10.4208/cicp.OA-2018-0104
Language英语
Funding ProjectChina 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 Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000455964200009
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32303
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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