Zienkiewicz元插值的非各向异性估计  

THE CONVERGENCE OF ZIENKIEWICZ ELEMENT UNDER UN-ANISOTROPIC GRID

作　　者：陈绍春[1] 梁冠男[1] 陈红如[1] 

机构地区：[1]郑州大学数学与统计学院,郑州450001

出　　处：《计算数学》2013年第3期271-274,共4页Mathematica Numerica Sinica

基　　金：国家自然科学基金(11071226)

摘　　要：本文证明著名的用于四阶椭圆问题尤其是板弯曲问题的Zienkiewicz元的插值误差在各向异性网格下不收敛,从而表明,发展各向异性有限元的理论和单元构造是必要的.In this paper, it is proved that the interpolation error of the well-known Zienkiewicz element used to the fourth order elliptic problems specially the plate bending problem is not convergent under the anisotropic meshes. Hence, it is necessary to develop the theory and elements of the anisotropic finite element.

关 键 词：Zienkiewicz元 各向异性 收敛性分析 

分 类 号：O241.82[理学—计算数学]