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

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

作     者:LIU Ming-fang CAO Ji-wei CHEN Shao-chun LIU Ming-fang;CAO Ji-wei;CHEN Shao-chun

作者机构:College of Mathematics and Information Sciences Henan University Kaifeng 475000 China Department of Mathematics Zhengzhou University Zhengzhou 450052 China 

出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))

年 卷 期:2011年第26卷第3期

页      面:388-393页

核心收录:

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基  金:Supported by NSF of China(10771198 10901047) 

主  题:nonconforming finite element tree-dimension fourth order elliptic equation 

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 *** newly constructed element is proved to be convergent for a model biharmonic equation.

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