Superconvergence Analysis of a Lower Order Anisotropic Finite Element

ZHU Guo-qing; SHI Dong-yang; CHEN Shao-chun

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ZHU Guo-qing, SHI Dong-yang, CHEN Shao-chun. Superconvergence Analysis of a Lower Order Anisotropic Finite Element[J]. Applied Mathematics and Mechanics, 2007, 28(8): 999-1008.

Citation:

ZHU Guo-qing, SHI Dong-yang, CHEN Shao-chun. Superconvergence Analysis of a Lower Order Anisotropic Finite Element[J]. Applied Mathematics and Mechanics, 2007, 28(8): 999-1008.

Citation:

ZHU Guo-qing, SHI Dong-yang, CHEN Shao-chun. Superconvergence Analysis of a Lower Order Anisotropic Finite Element[J]. Applied Mathematics and Mechanics, 2007, 28(8): 999-1008.

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Superconvergence Analysis of a Lower Order Anisotropic Finite Element

Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China

Received Date: 2006-10-12
Rev Recd Date: 2007-06-11
Publish Date: 2007-08-15

Abstract

Abstract

The convergence analysis of the lower order nonconforming element proposed by Park and Sheen was applied to the second order elliptic problem under anisotropic meshes.And the corresponding error estimation was obtained.Moreover,by using the interpolation postprocessing technique,a global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself was derived.Numerical results were also given to verify the theoretical analysis.
- nonconforming finite element,
- anisotropic,
- error estimate,
- interpolation postprocessing,
- superconvergence

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References(10)

References

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