四节点元和八节点h-收敛的比较*
A Comparative Study on the h-Convergence of 4-Node and 8-Node Quadrilateral Elements
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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.
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[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).
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