Numerical Residual Elimination Method of Finite Differential Equations

Huang Ping; Dong Zheng-zhu

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(2): 173-179

Huang Ping, Dong Zheng-zhu. Numerical Residual Elimination Method of Finite Differential Equations[J]. Applied Mathematics and Mechanics, 1993, 14(2): 173-179.

Citation:

Huang Ping, Dong Zheng-zhu. Numerical Residual Elimination Method of Finite Differential Equations[J]. Applied Mathematics and Mechanics, 1993, 14(2): 173-179.

Citation:

Huang Ping, Dong Zheng-zhu. Numerical Residual Elimination Method of Finite Differential Equations[J]. Applied Mathematics and Mechanics, 1993, 14(2): 173-179.

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Numerical Residual Elimination Method of Finite Differential Equations

Chinese University of Mining and Technology, Xuzhou

Received Date: 1990-02-15
Publish Date: 1993-02-15

Abstract

Abstract

In this paper,a new elimination of finite differential equations has been discussed.It applies the numerical direct iteration to obtain the residual equations,in which the number of unknowns has been reduced greatly.The solution process is simple and efficient,and the solution is exact.
- finite differential method,
- finite element method,
- residual equations,
- direct iteration

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References(8)

References

[1]	冯康,《数值计算方法》,国防工业出版社(1967),492.
[2]	李大潜等,《有限元法续讲》,科学出版社(1978),135-175.
[3]	Cheung,Y.K.and M.F.Yeo,A Practical Introduction to Finite Element Analysis,中译本,《有限单元法实用导论》,罗松发等译,广西人民出版社(1982),112.
[4]	南京大学数学系计算数学专业编,《偏微分方程数值解法》,科学出版社(1979),171-227.
[5]	Bathe,K.J.and E.L.Wilson,Numerical Methods in Finite Element Analysis,Prentice-Hall,Inc.(1976),中译本,《有限单元分析中的数值方法》,林公豫、罗思译科学出版社(1987),293-307.
[6]	中国科学院沈阳计算技术研究所等编,《电子计算机常用算法》(1976),144-150.
[7]	Bathe,K.J.Nonlinear Finite element analysis and ADINA,J.Computers and Structures,13,5/6(1981).
[8]	Wunderlich,W.,E.Stein,and K.J.Bathe(eds.),Nonlinear Finite element Analysis in Structural Mechanics,Springer-Verlag,Berlin(1981).