Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers
文献类型：期刊论文
| 作者 | Yuan, Long1; Hu, Qiya2,3
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2018-12-15 |
| 卷号 | 344页码:323-345 |
| 关键词 | Helmholtz equation Time-harmonic Maxwell's equations Well posedness Electromagnetic wave Plane wave basis Error estimates |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2018.05.024 |
| 英文摘要 | In this paper we are concerned with some plane wave discretization methods of the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers. We design two new variants of the variational theory of complex rays and the ultra weak variational formulation for the discretization of these types of equations, respectively. The well posedness of the approximate solutions generated by the two methods is derived. Moreover, based on the PWLS-LSFE method introduced in Hu and Yuan (2018), we extend these two methods (VTCR method and UWVF method) combined with local spectral element to discretize nonhomogeneous Helmholtz equation and Maxwell's equations. The numerical results show that the resulting approximate solution generated by the UWVF method is clearly more accurate than that generated by the VTCR method. (C) 2018 Elsevier B.V. All rights reserved. |
| 资助项目 | China 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000440394900022 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30764]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yuan, Long |
| 作者单位 | 1.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 & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Long,Hu, Qiya. Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2018,344:323-345. |
| APA | Yuan, Long,&Hu, Qiya.(2018).Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,344,323-345. |
| MLA | Yuan, Long,et al."Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 344(2018):323-345. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。