A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS
文献类型：期刊论文
| 作者 | Hu, Qiya1,2 ; Song, Rongrong1,2
|
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2019-04-02 |
| 卷号 | 53期号:1页码:85-103 |
| 关键词 | Maxwell's equations plane wave method variational problem L-2 error estimate |
| ISSN号 | 0764-583X |
| DOI | 10.1051/m2an/2018043 |
| 英文摘要 | 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. |
| 资助项目 | Natural Science Foundation of China[G11571352] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000462999900002 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34258]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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