A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
文献类型：期刊论文
| 作者 | Hu, Qiya1,3 ; Yuan, Long2
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2018-02-01 |
| 卷号 | 44期号:1页码:245-275 |
| 关键词 | Helmholtz equation Time-harmonic Maxwell equations Nonhomogeneous Local spectral element Plane wave basis functions Error estimates |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-017-9542-z |
| 英文摘要 | In this paper we are concerned with plane wave discretizations of nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. To this end, we design a plane wave method combined with local spectral elements for the discretization of such nonhomogeneous equations. This method contains two steps: we first solve a series of nonhomogeneous local problems on auxiliary smooth subdomains by the spectral element method, and then apply the plane wave method to the discretization of the resulting (locally homogeneous) residue problem on the global solution domain. We derive error estimates of the approximate solutions generated by this method. The numerical results show that the resulting approximate solutions possess high accuracy. |
| 资助项目 | Natural Science Foundation of China[G11571352] ; China NSF[11501529] ; Qingdao applied basic research project[17-1-1-9-jch] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000423693000010 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29408]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya; Yuan, Long |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Scient Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Shan Dong Univ Sci & Technol, Coll Math & Syst Sci, 579 Qian Wan Gang Rd, Qingdao 266590, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Yuan, Long. A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2018,44(1):245-275. |
| APA | Hu, Qiya,&Yuan, Long.(2018).A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,44(1),245-275. |
| MLA | Hu, Qiya,et al."A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 44.1(2018):245-275. |
入库方式： OAI收割
来源：数学与系统科学研究院
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