解平行四边形板弯曲问题的二元B样条有限元法  

Finite Element Method with Bivariate B Splines in Solving a Bending Problem of Parallelogram Boards

作　　者：刘焕文[1] 

机构地区：[1]广西民族学院数学系

出　　处：《广西科学》1998年第1期16-20,共5页Guangxi Sciences

基　　金：广西区科委青年基金

摘　　要：将文献［１］以二元二次Ｂ样条函数为基底，求解矩形薄板弯曲问题的二元Ｂ样条有限元的方法推广到用于求解平行四边形板弯曲问题．结果表明：该方法系数矩阵每行的非零元仅２１个，相对于朱明权和ＣｈｕｉＣ．Ｋ．等的张量积型样条有限元方法，计算量与存贮量都大大节约．A finite element method with bivariate B spline is given in to solve a bending problem of rectangular boards based on the binary quadric B spline functions.we generalize the method to the case of parallelogram boards.It turns out that the method greatly reduces the computations and memory as comparied with the finite element method with splines of tensor product type of Zhu Mingquan and Chui C.K. etc.

关 键 词：平行四边形板 弯曲问题 二元B样条有限元 

分 类 号：O241[理学—计算数学]