A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements

Duan Mei; Miyamoto Yutaka; Zhou Benkuan; Chen Dapeng

Volume 17 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(1): 9-14

Duan Mei, Miyamoto Yutaka, Zhou Benkuan, Chen Dapeng. A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements[J]. Applied Mathematics and Mechanics, 1996, 17(1): 9-14.

Citation:

Duan Mei, Miyamoto Yutaka, Zhou Benkuan, Chen Dapeng. A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements[J]. Applied Mathematics and Mechanics, 1996, 17(1): 9-14.

Citation:

Duan Mei, Miyamoto Yutaka, Zhou Benkuan, Chen Dapeng. A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements[J]. Applied Mathematics and Mechanics, 1996, 17(1): 9-14.

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A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements

1.
Iwate University, Morioka, Japan:Southwest Jiaotong University, Chengdu 610031, P.R.China;
2.
Iwate University Morioka, Japan;

Received Date: 1995-03-02
Publish Date: 1996-01-15

Abstract

Abstract

The present paper is mainly,concerned theoretically with the compartive stuudy on n-convergence of 4-node versus 8-node quadrilateral elements.It is found by the present authors that 8-node quadrilateral elements provided favourably enhances convergence rate over the 4-node ones.The fact is further justified via numerical examinations.
- finite element,
- 4-node quadrilateral element,
- 8-node quadrilateral element

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References

[1]	段梅、宫本裕、陈大鹏、周本宽,四边形单元h-收敛误差估计的探讨,应用数学和力学,16(12)(1995),1043-1050.
[2]	I. Babuska, et al., Accuracy Estimates and Adaptive Refinements in Finite Element Computations, John Wiley & Sons (1986).
[3]	J. Gago, D. W. Kelly and O. C. Zienkiewicz, A posteriori error analysis and adaptive processes in the finite element method: Part II— adaptive mesh refinement, Int. J.Nutn. Meth. Engng., 19 (1983), 1621-1656.
[4]	O. C. Zienkiewicz,D. W. Kelly, J. Gago and I. Babuska, Hierarchical finite element approaches, error estimates and adaptive refinement, The Mathematics of FE and Application (Ed. J. Whiteman), New York (1981).