A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations
文献类型：期刊论文
| 作者 | Hu, Qiya1,2 ; Shu, Shi3; Zou, Jun4
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2008 |
| 卷号 | 77期号:263页码:1333-1353 |
| 关键词 | Maxwell's equations Nedelec finite elements domain decomposition nonmatching grids generalized interpolation error estimate |
| ISSN号 | 0025-5718 |
| 英文摘要 | In this paper, we are concerned with mortar edge element methods for solving three-dimensional Maxwell's equations. A new type of Lagrange multiplier space is introduced to impose the weak continuity of the tangential components of the edge element solutions across the interfaces between neighboring subdomains. The mortar edge element method is shown to have nearly optimal convergence under some natural regularity assumptions when nested triangulations are assumed on the interfaces. A generalized edge element interpolation is introduced which plays a crucial role in establishing the nearly optimal convergence. The theoretically predicted convergence is confirmed by numerical experiments. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000257559400006 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6140]  |
| 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, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Shu, Shi,Zou, Jun. A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations[J]. MATHEMATICS OF COMPUTATION,2008,77(263):1333-1353. |
| APA | Hu, Qiya,Shu, Shi,&Zou, Jun.(2008).A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.MATHEMATICS OF COMPUTATION,77(263),1333-1353. |
| MLA | Hu, Qiya,et al."A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations".MATHEMATICS OF COMPUTATION 77.263(2008):1333-1353. |
入库方式： OAI收割
来源：数学与系统科学研究院
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