自由边界条件壳体问题的 bubble-稳定化混合有限元方法(英文)  

A NEW MIXED FORMULATION FOR THE SHELL MODEL WITH FREE EDGE BOUNDARY CONDITIONS

作　　者：段火元[1] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所,北京100080

出　　处：《纯粹数学与应用数学》1999年第4期13-19,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金

摘　　要：针对自由边界条件壳体问题的经典混合变分模型发展局部bubble函数稳定化有限元逼近方法:逐单元附加带嵌入bubble函数的局部双线性型的稳定化法.已证明离散方程具有一致稳定性,从而经典InfSup条件被避免;A stabilized finite element method is presented embedded with local bubble function based on the classical mixed formulation of the shell problem with free edge boundary conditions. It is proved that the new mixed formulation is stable, which implies the well known K ellipticity and the Inf Sup condition are circumvented. The optimal rate of convergence for this methodology is obtained.

关 键 词：Koiter壳体 稳定化混合有限元逼近 局部bubble-函数 

分 类 号：O343.2[理学—固体力学]