| 四阶椭圆方程的一个十六参数能量正交四面体元(英文) |
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| 引用本文： | 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(英文)[J]. 数学季刊, 2011, 0(3): 388-393 |
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| 作者姓名： | 刘鸣放 曹济伟 陈绍春 |
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| 作者单位： | College of Mathematics and Information Sciences;Henan University;Department of Mathematics;Zhengzhou University; |
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| 基金项目： | Supported by NSF of China(10771198,10901047) |
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| 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.
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| 关 键 词： | nonconforming finite element tree-dimension fourth order elliptic equation |
The Energy-orthogonal Tetrahedral Finite Element for Fourth Order Elliptic Equations |
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| 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, 0(3): 388-393 |
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| Authors: | LIU Ming-fang CAO Ji-wei CHEN Shao-chun |
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| Affiliation: | LIU Ming-fang1,2,CAO Ji-wei1,CHEN Shao-chun2 (1.College of Mathematics and Information Sciences,Henan University,Kaifeng 475000,China,2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| 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. |
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| Keywords: | nonconforming finite element tree-dimension fourth order elliptic equation |
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