自由边界问题的样条有限元法  

SPLINE FINITE ELEMENT METHODS FOR FREE BOUNDARY PROBLEMS

作　　者：周叔子[1] 

机构地区：[1]湖南大学应用数学研究所

出　　处：《计算数学》1989年第2期132-139,共8页Mathematica Numerica Sinica

基　　金：中国科学院科学基金

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.

关 键 词：自由边界问题 样条有限元 离散解 

分 类 号：O242.21[理学—计算数学]