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.
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.
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.
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).