The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
文献类型：期刊论文
| 作者 | Yuan, Long1; Hu, Qiya2,3
|
| 刊名 | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 10期号:5页码:1126-1157 |
| 关键词 | Electromagnetic wave plane wave least-squares ultra weak variational formulation anisotropic media plane-wave basis error estimates |
| ISSN号 | 2070-0733 |
| DOI | 10.4208/aamm.OA-2017-0272 |
| 英文摘要 | The 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. |
| 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 ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000453595500005 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32025]  |
| 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 & Scient 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. 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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