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A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS
Hu, Qiya1,2; Song, Rongrong1,2
2019-04-02
Source PublicationESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
Volume53Issue:1Pages:85-103
AbstractIn this paper we are concerned with the plane wave method for the discretization of time-harmonic Maxwell's equations in three dimensions. As pointed out in Hiptmair et al. (Math. Comput. 82 (2013) 247-268), it is difficult to derive a satisfactory L-2 error estimate of the standard plane wave approximation of the time-harmonic Maxwell's equations. We propose a variant of the plane wave least squares (PWLS) method and show that the new plane wave approximations yield the desired L-2 error estimate. Moreover, the numerical results indicate that the new approximations have sightly smaller L-2 errors than the standard plane wave approximations. More importantly, the results are derived for more general models in inhomogeneous media.
KeywordMaxwell's equations plane wave method variational problem L-2 error estimate
DOI10.1051/m2an/2018043
Language英语
Funding ProjectNatural Science Foundation of China[G11571352]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000462999900002
PublisherEDP SCIENCES S A
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34259
Collection计算数学与科学工程计算研究所
Corresponding AuthorHu, Qiya
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Hu, Qiya,Song, Rongrong. A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2019,53(1):85-103.
APA Hu, Qiya,&Song, Rongrong.(2019).A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,53(1),85-103.
MLA Hu, Qiya,et al."A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 53.1(2019):85-103.
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