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MAO Shipeng; SHI Zhongci
Source Publicationscienceinchinaseriesamathematics
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.
Document Type期刊论文
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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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