四阶椭圆方程的一个十六参数能量正交四面体元

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 388-393.

四阶椭圆方程的一个十六参数能量正交四面体元

1. College of Mathematics and Information Sciences, Henan University 2. Department of Mathematics, Zhengzhou University

收稿日期:2008-10-28 出版日期:2011-09-30 发布日期:2023-04-19
作者简介:LIU Ming-fang(1973-), male, native of Xiayi, Henan, an associate professor of Henan University, Ph.D., engages in ﬁnite element method and application.
基金资助:
Supported by NSF of China(10771198,10901047)；

The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations

1. College of Mathematics and Information Sciences, Henan University 2. Department of Mathematics, Zhengzhou University

Received:2008-10-28 Online:2011-09-30 Published:2023-04-19
About author:LIU Ming-fang(1973-), male, native of Xiayi, Henan, an associate professor of Henan University, Ph.D., engages in ﬁnite element method and application.
Supported by:
Supported by NSF of China(10771198,10901047)；

摘要/Abstract

摘要： In this paper, the 16-parameter nonconforming tetrahedral element which has an energy-orthogonal shape function space is presented for the discretization of fourth order elliptic partial differential operators in three spatial dimensions. The newly constructed element is proved to be convergent for a model biharmonic equation.

关键词: nonconforming finite element, tree-dimension, fourth order elliptic equation

Abstract: In this paper, the 16-parameter nonconforming tetrahedral element which has an energy-orthogonal shape function space is presented for the discretization of fourth order elliptic partial differential operators in three spatial dimensions. The newly constructed element is proved to be convergent for a model biharmonic equation.

Key words: nonconforming finite element, tree-dimension, fourth order elliptic equation

中图分类号:

O175.25

刘鸣放, 曹济伟, 陈绍春. 四阶椭圆方程的一个十六参数能量正交四面体元[J]. 数学季刊, 2011, 26(3): 388-393.

LIU Ming-fang, CAO Ji-wei, CHEN Shao-chun. The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 388-393.

[1]	肖留超, 陈绍春. Stokes问题的一个非协调矩形有限元分析[J]. 数学季刊, 2009, 24(4): 621-627.
[2]	赵中建, 张冠宇, 陈绍春. 一个平面线弹性的Locking-free非协调有限元[J]. 数学季刊, 2009, 24(2): 211-218.
[3]	石东洋, 许超. 三维各项异性非协调Carey有限元的收敛性分析[J]. 数学季刊, 2006, 21(3): 368-374.