解矩形薄板弯曲问题的二元B样条有限元法  

Finite Element Method with Bivariate B Splines in Solving A Bending Problem of Rectangular Boards

作　　者：刘焕文[1] 何登旭[1] 

机构地区：[1]广西民族学院数学与计算机科学系

出　　处：《广西民族大学学报（自然科学版）》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

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.

关 键 词：薄板弯曲问题 二元B样条有限元法 边界条件 

分 类 号：O241[理学—计算数学]