KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| ISSN | 0764-583X |
| Volume | 53Issue:1Pages:85-103 |
| Abstract | In 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. |
| Keyword | Maxwell's equations plane wave method variational problem L-2 error estimate |
| DOI | 10.1051/m2an/2018043 |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[G11571352] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000462999900002 |
| Publisher | EDP SCIENCES S A |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34259 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Hu, Qiya |
| Affiliation | 1.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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