轴对称问题的Wilson四边形单元  

A Class of Wilson Arbitrary Quadrilateral Elements for an Axisymmetric Problem

作　　者：高岩[1,2] 

机构地区：[1]大连理工大学应用数学系 [2]燕山大学数理系

出　　处：《应用数学和力学》1998年第12期1113-1117,共5页Applied Mathematics and Mechanics

基　　金：机械部基金

摘　　要：给出了一族轴对称问题的改进Ｗｉｌｓｏｎ元，利用强分片检验证明了其收敛性，讨论了单元函数结构·从而给出了一种构造收敛的轴对称非协调元方法·A class of modified Wilson arbitrary quadrilateral nonconforming elements for an axisymmetric problem is proposed. Their convergence is proven by means of the strong patch test. The structure of this finite element class is investigated. Thus a general method of axisymmetric nonconforming elements with convergence properties is presented.

关 键 词：有限元 非协调元 收敛性 轴对称问题 WILSON元 

分 类 号：O343[理学—固体力学] O242.21[理学—力学]