Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method
文献类型：期刊论文
| 作者 | Xie, Hehu
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 29期号:2页码:135-145 |
| 关键词 | Maxwell equations mixed finite element methods Nedelec elements interpolation postprocessing extrapolation |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-007-9047-2 |
| 英文摘要 | In this paper, we use the integral-identity argument to obtain asymptotic error expansions for the mixed finite element approximation of the Maxwell equations on a rectangular mesh. The extrapolation method is applied to improve the accuracy of the approximation via an interpolation postprocessing technique. With the extrapolation, the approximation accuracy can be improved from O(h) to O(h(4)) in the L-2-norm. Illustrative numerical results are given to demonstrate the higher order accuracy of the extrapolation method. |
| 语种 | 英语 |
| WOS记录号 | WOS:000257587300003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5608]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Hehu. Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,29(2):135-145. |
| APA | Xie, Hehu.(2008).Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method.ADVANCES IN COMPUTATIONAL MATHEMATICS,29(2),135-145. |
| MLA | Xie, Hehu."Extrapolation of the Nedelec element for the Maxwell equations by the mixed finite element method".ADVANCES IN COMPUTATIONAL MATHEMATICS 29.2(2008):135-145. |
入库方式： OAI收割
来源：数学与系统科学研究院
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