A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element  

作　　者：Feiteng Huang Xiaoping Xie 

机构地区：[1]School of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Advances in Applied Mathematics and Mechanics》2010年第6期784-797,共14页应用数学与力学进展（英文）

基　　金：supported by Natural Science Foundation of China(10771150);the National Basic Research Program of China(2005CB321701);the Program for New Century Excellent Talents in University(NCET-07-0584).

摘　　要：This paper analyzes a nonconforming 5-node quadrilateral transition finite element for Poisson equation.This element was originally proposed by Choi and Park[Computers and Structures,32(1989),pp.295–304 and Thin-Walled Structures,28(1997),pp.1–20]for the analysis of Mindlin plates.We show the consistency error of this element is only O(h^(1/2))over the transition edges of the quadrilateral subdivision.By modifying the shape functions with respect to mid-nodes,we get an improved version of the element for which the consistency error is O(h).Numerical examples are provided to verify the theoretical results.

关 键 词：Nonconforming finite element transition element consistency error 

分 类 号：O17[理学—数学]