Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media
文献类型：期刊论文
| 作者 | Yuan, Long1; Hu, Qiya2,3
|
| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2019-05-01 |
| 卷号 | 25期号:5页码:1496-1522 |
| 关键词 | Time-harmonic Maxwell's equations anisotropic media plane-wave basis error estimates nonhomogeneous |
| ISSN号 | 1815-2406 |
| DOI | 10.4208/cicp.OA-2018-0104 |
| 英文摘要 | In this paper we investigate the plane wave discontinuous Galerkin method for three-dimensional anisotropic time-harmonic Maxwell's equations with diagonal matrix coefficients. By introducing suitable transformations, we define new plane wave basis functions and derive error estimates of the approximate solutions generated by the proposed discretization method for the considered homogeneous equations. In the error estimates, some dependence of the error bounds on the condition number of the coefficient matrix is explicitly given. Combined with local spectral element method, we further prove a convergence result for the nonhomogeneous case. Numerical results verify the validity of the theoretical results, and indicate that the resulting approximate solutions generated by the PWDG possess high accuracies. |
| 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 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000455964200009 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32302]  |
| 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.Shandong Univ Sci & Technol, Coll Math & Syst Sci, 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. Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2019,25(5):1496-1522. |
| APA | Yuan, Long,&Hu, Qiya.(2019).Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,25(5),1496-1522. |
| MLA | Yuan, Long,et al."Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 25.5(2019):1496-1522. |
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。