• 论文 •

### 样条有限元

1. 中国科技大学,
• 出版日期:1979-01-14 发布日期:1979-01-14

### ON SPLINE FINITE ELEMENT METHOD

1. Shih Chung-tze (China University of Science and Technology)
• Online:1979-01-14 Published:1979-01-14

In this paper a finite element method based on cubic B-spline is presented to obtainnig approximate solution for the equilibrium problems of elastic composite structures on regular regions.A computational scheme well suited for various types of boundary conditions is derived.It is easily carried out by a computer.In comparison with the usual nodal finite element method, the main features of the present method are higher accuracy and more economy in computing storage and time requirements.The effect of imposing natural boundary condition as constraints is considered and it is shown by a plate bending problem that this effect is quite superficial.Several numerical results are presented.
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 [1] 冯康,基于变分原理的差分格式,应用数学与计算数学,2:4(1965) ,238-262． [2] O. C. Zienkiewicz. The Finite Element Method in Engineering Science, 1971． [3] G. Strang, G. J. Fix. An Analysis of the Finite Element Method. 1973
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