Applied Mathematics and Mechanics

, Volume 23, Issue 6, pp 619–626

Element functions of discrete operator difference method

• Tian Zhong-xu
• Tang Li-min
• Liu Zheng-xing
Article

Abstract

The discrete scheme called discrete operator difference for differential equations was given. Several difference elements for plate bending problems and plane problems were given. By investigating these elements, the ability of the discrete forms expressing to the element functions was talked about. In discrete operator difference method, the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not. According to this point, discrete operator difference method is a method with good performance.

Key words

discrete operator difference method element function reproduce exactly

O342.21

References

1. [1]
TANG Li-min, ZHANG Yun-zhen, WU Jin-xian, et al. Differential operator discrete method about numerical computing of continuous bodies (1) [J].Journal of Dalian University of Technology, 1973,13(1):7–30. (in Chinese)Google Scholar
2. [2]
TANG Li-min, ZHANG Yun-zhen, WU Jin-xian, et al. Differential operator discrete method about numerical computing of continuous bodies (2) [J].Journal of Dalian University of Technology, 1973,13(3):27–57 (in Chinese).Google Scholar
3. [3]
LI Rong-hua, CHEN Zhong-ying.General Difference Method for Differential Equations [M]. Publishing Company of Jilin University, 1994. (in Chinese)Google Scholar
4. [4]
CHEN Zhong-ying. Variational principle and numerical analysis of generalized difference method for biharmonic equation[J].Numerical Mathematics, A Journal of Chinese University, 1993,15(2): 182–194. (in Chinese)
5. [5]
TIAN Zhong-xu, TANG Li-min. A weak form discrete operator method of solving thin plate bending problems[J].Chinese Journal of Computational Mechanics, 2000,17(2):163–169. (in Chinese)Google Scholar
6. [6]
TANG Li-min, QI Zhao-hui, DING Ke-wei, et al. Establishment and applications of weak form generalized basic equations in elasticity[J].Journal of Dalian University of Technology, 2001,41 (1):1–8. (in Chinese)

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

• Tian Zhong-xu
• 1
• Tang Li-min
• 2
• Liu Zheng-xing
• 3
1. 1.Center of CIMS & RoboticsShanghai UniversityShanghaiP R China
2. 2.Department of Engineering MechanicsDalian University of TechnologyDalianP R China
3. 3.Department of Engineering MechanicsShanghai Jiaotong UniversityShanghaiP R China