各向异性双二次元的自然超收敛性结果

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 388-394.

各向异性双二次元的自然超收敛性结果

1. Department of Mathematics Zhengzhou University 2. College of Science Henan University of Technology

收稿日期:2006-06-21 出版日期:2007-09-30 发布日期:2023-10-26
作者简介:LI Qing-shan(1964-),male, native of Huaiyang, Henan, Ph.D., an associate professor of Zhengzhou University, engages in finite element method; SUN Hui-xia(1963-), female, native of Yancheng, Henan, Ph.D., an associate professor of Henan University of Technology, engages in finite element method.
基金资助:
Supported by the Henan Natural Science Foundation(072300410320); Supported by the Foundation Study of the Education Department of Henan Province(200510460311)

Anisotropic Biquadratic Finite Element with Some Natural Superconvergence Results

1. Department of Mathematics Zhengzhou University 2. College of Science Henan University of Technology

Received:2006-06-21 Online:2007-09-30 Published:2023-10-26
About author:LI Qing-shan(1964-),male, native of Huaiyang, Henan, Ph.D., an associate professor of Zhengzhou University, engages in finite element method; SUN Hui-xia(1963-), female, native of Yancheng, Henan, Ph.D., an associate professor of Henan University of Technology, engages in finite element method.
Supported by:
Supported by the Henan Natural Science Foundation(072300410320); Supported by the Foundation Study of the Education Department of Henan Province(200510460311)

摘要/Abstract

摘要： The paper studies the convergence and the superconvergence of the biquadratic finite element for Poisson’ problem on anisotropic meshes.By detailed analysis,it shows that the biquadratic finite element is anisotropically superconvergent at four Gauss points in the element.

关键词: anisotropic, biquadratic finite element, superclose, superconvergence

Abstract: The paper studies the convergence and the superconvergence of the biquadratic finite element for Poisson’ problem on anisotropic meshes.By detailed analysis,it shows that the biquadratic finite element is anisotropically superconvergent at four Gauss points in the element.

Key words: anisotropic, biquadratic finite element, superclose, superconvergence

中图分类号:

O241

李清善, 孙会霞. 各向异性双二次元的自然超收敛性结果[J]. 数学季刊, 2007, 22(3): 388-394.

LI Qing-shan, SUN Hui-zia. Anisotropic Biquadratic Finite Element with Some Natural Superconvergence Results[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 388-394.

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