KMS Of Academy of mathematics and systems sciences, CAS
| nonconformingrotatedq1elementonnontensorproductanisotropicmeshes | |
MAO Shipeng ; SHI Zhongci
| |
| 2006-01-01 | |
| Source Publication | scienceinchinaseriesamathematics
 |
| ISSN | 1006-9283 |
| Volume | 49Issue:10Pages:1363 |
| Abstract | 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. |
| Language | 英语 |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/41728 |
| Collection | 计算数学与科学工程计算研究所 |
| Affiliation | 中国科学院数学与系统科学研究院 |
| Recommended Citation GB/T 7714 | MAO Shipeng,SHI Zhongci. nonconformingrotatedq1elementonnontensorproductanisotropicmeshes[J]. scienceinchinaseriesamathematics,2006,49(10):1363. |
| APA | MAO Shipeng,&SHI Zhongci.(2006).nonconformingrotatedq1elementonnontensorproductanisotropicmeshes.scienceinchinaseriesamathematics,49(10),1363. |
| MLA | MAO Shipeng,et al."nonconformingrotatedq1elementonnontensorproductanisotropicmeshes".scienceinchinaseriesamathematics 49.10(2006):1363. |
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