摘要
本文提出了一种解薄板弯曲问题的二元Ｂ样条有限元法．该方法相应的系数总矩阵十分简单，不需叠加而一次成型，其半带宽以块计仅为２，子块半带宽至多为２．由于二元二次样条在三角形单元上仅有６个系数，使得总体自由度数目大大小于其它各种有限元法，其计算量自然随之下降，而所得的解还是Ｃ１协调的．
In this paper, we give a finite element method with bivariate B splines. The coefficient matrix in the method is very simple, it turns out that semi belt width is 2. The sub block semi be lt width is 2 at the most. since bivariate quadratic spline on triangle unit have only 6 coefficientes, total number of degrees of freedom is less than other finite element method, the computational amount is reduced at ease, the solution obtained is C 1 coordinate at the same time.
出处
《广西民族大学学报（自然科学版）》
CAS
1998年第1期9-13,共5页
Journal of Guangxi Minzu University ：Natural Science Edition
基金
广西科委青年科学基金
关键词
薄板弯曲问题
二元B样条有限元法
边界条件
Bending problem of boards Finite element method with bivariate B splines Boundary condition
