摘要
本文讨论薄板弯曲自由边界问题的样条有限元法,对障碍问题和“弹塑性”弯曲问题,采用三次B样条元及二次多结点Hermite元,比较其优劣,证明离散解的收敛性.
The spline finite element methods for free boundary problems of plate bending are discussedin this paper. The cubic spline finite element and the quadratic multi-knot Hermite splinefinite element are applied to the obstacle problem and 'elastic-plastic' problem for rectangularplate bending. The advantages and disadvantages of these finite elements are pointed out and theconvergence of the discrete solutions is proved.
出处
《计算数学》
CSCD
北大核心
1989年第2期132-139,共8页
Mathematica Numerica Sinica
基金
中国科学院科学基金
