Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes
文献类型：期刊论文
| 作者 | Mao Shipeng ; Shi Zhongci
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2006-10-01 |
| 卷号 | 49期号:10页码:1363-1375 |
| 关键词 | anisotropic interpolation error consistency error nonconforming rotated Q(1) element |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-006-1363-3 |
| 英文摘要 | In this paper, we consider the nonconforming rotated Q(1) element for the second order elliptic problem on the non-tensor product anisotropic meshes, i.e. the anisotropic affine quadrilateral meshes. Though the interpolation error is divergent on the anisotropic meshes, we overcome this difficulty by constructing another proper operator. Then we give the optimal approximation error and the consistency error estimates under the anisotropic affine quadrilateral meshes. The results of this paper provide some hints to derive the anisotropic error of some finite elements whose interpolations do not satisfy the anisotropic interpolation properties. Lastly, a numerical test is carried out, which coincides with our theoretical analysis. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241999600007 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3422]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Mao Shipeng |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mao Shipeng,Shi Zhongci. Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(10):1363-1375. |
| APA | Mao Shipeng,&Shi Zhongci.(2006).Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(10),1363-1375. |
| MLA | Mao Shipeng,et al."Nonconforming rotated Q(1) element on non-tensor product anisotropic meshes".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.10(2006):1363-1375. |
入库方式： OAI收割
来源：数学与系统科学研究院
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