摘要
众知周所,解板弯曲问题的Zienkiewicz不协调三次元只对特殊的单元剖分才收敛.但由于这种元采用单元顶点的函数值及二个一阶导数值作为节点参数,计算简单,总体自由度少,所以相继出现一些对Zienkiewicz元的改进形式,使之对任意剖分均收敛,如拟协调元,TRUNC元,Specht元.对这些元的分析见[7—9].
The mathematical formulation of a nine parameter generalized conforming element ispresented, which was proposed by Long Yu-qiu and Xin Ke-qui recently. It is shown that thenew element uses the same finite element space as Zienkiewicz's incompatible cubic element,but the nodal parameters are different, namely, they are the function values and the two sli-ghtly perturbed first partial derivatives at the vertices of the triangle. The convergence of theelement is proved and the error estimates are derived.
出处
《计算数学》
CSCD
北大核心
1991年第2期193-203,共11页
Mathematica Numerica Sinica
