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Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
An anisotropic nonconforming finite element with some superconvergence results. (English)
[J] J. Comput. Math. 23, No. 3, 261-274 (2005). ISSN 0254-9409; ISSN 1991-7139/e

The authors first study the anisotropic interpolation property of a nonconforming finite element proposed by {\it H. Han} [J. Comput. Math. 2, 223--233 (1984; Zbl 0573.65083)] and visualizing its important role in estimating the interpolation error, they obtain the consistency error estimate. Superclose property and superconvergence estimates on the centres of the elements are also obtained without the regularity assumption and quasi-uniform assumption requirements on the meshes. Some numerical examples are presented to illustrate the validity of the theoretical analysis.
[H. P. Dikshit (New Delhi)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)
35J05 Laplace equation, etc.

Keywords: anisotropic meshes; nonconforming finite element; interpolation error; superconvergence; error estimate; numerical examples

Citations: Zbl 0573.65083

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