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nonconformingrotatedq1elementonnontensorproductanisotropicmeshes
MAO Shipeng; SHI Zhongci
2006
Source Publicationscienceinchinaseriesamathematics
ISSN1006-9283
Volume49Issue:10Pages:1363
AbstractIn 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
Identifierhttp://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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