Quadrilateral mesh

被引：23
|
作者：
Ming, PB [1 ]
Shi, ZG [1 ]
机构：
[1] Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 02期
关键词：
quadrilateral mesh; 4-node isoparametric element; nonconforming quadrilateral element;
D O I：
10.1142/S0252959902000237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Several quadrilateral shape regular mesh conditions commonly used in the finite element method are proven to be equivalent. Their influence on the finite element interpolation error and the consistency error committed by nonconforming finite elements are investigated. The effect of the Bi-Section Condition and its extended version (1 + alpha)- Section Condition on the degenerate mesh conditions is also checked. The necessity of the Bi-Section Condition in finite elements is underpinned by means of counterexamples.
引用
收藏
页码：235 / 252
页数：18
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