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The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
Yuan, Long1; Hu, Qiya2,3
2018-10-01
Source PublicationADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN2070-0733
Volume10Issue:5Pages:1126-1157
AbstractThe 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.
KeywordElectromagnetic wave plane wave least-squares ultra weak variational formulation anisotropic media plane-wave basis error estimates
DOI10.4208/aamm.OA-2017-0272
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 AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000453595500005
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32026
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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