Sobolev型方程高次Wison元逼近及超收敛分析

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 127-134.

Sobolev型方程高次Wison元逼近及超收敛分析

Department of Mathematics Zhengzhou University,Department of Mathematics,Zhengzhou University,,Zhengzhou 450052,China,Zhengzhou 450052,China

收稿日期:2007-06-10 出版日期:2008-03-30 发布日期:2023-10-16
作者简介:SHI Dong-yang(1961-), male, native of Lushan, Henan, a professor of Zhengzhou University, Ph.D., engages in the theories of the finite element method.
基金资助:
Supported by the National Natural Science Foundation of China(10671184)

Approximation and Superconvergence Analysis for a New Higher Order Wilson Element to Sobolev Type Equations

Department of Mathematics Zhengzhou University,Department of Mathematics,Zhengzhou University,,Zhengzhou 450052,China,Zhengzhou 450052,China

Received:2007-06-10 Online:2008-03-30 Published:2023-10-16
About author:SHI Dong-yang(1961-), male, native of Lushan, Henan, a professor of Zhengzhou University, Ph.D., engages in the theories of the finite element method.
Supported by:
Supported by the National Natural Science Foundation of China(10671184)

摘要/Abstract

摘要： In this paper,a new higher order Wilson element is presented,and the conver- gence is proved.Then the interpolation postprocessing technique is used to obtain the global superconvergence and posterior error estimate of higher accuracy of this new element for the Sobolev type equations.

关键词: Sobolev type equations, higher order Wilson element, interpolation post- processing technique, superconvergence

Abstract: In this paper,a new higher order Wilson element is presented,and the conver- gence is proved.Then the interpolation postprocessing technique is used to obtain the global superconvergence and posterior error estimate of higher accuracy of this new element for the Sobolev type equations.

Key words: Sobolev type equations, higher order Wilson element, interpolation post- processing technique, superconvergence

中图分类号:

O241.8

石东洋, 郝晓斌. Sobolev型方程高次Wison元逼近及超收敛分析[J]. 数学季刊, 2008, 23(1): 127-134.

SHI Dong-yang, HAO Xiao-bin. Approximation and Superconvergence Analysis for a New Higher Order Wilson Element to Sobolev Type Equations[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 127-134.

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