四节点元和八节点h-收敛的比较<sup>*</sup>

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

四节点元和八节点h-收敛的比较^*

基金项目: * 国家目然科学基金;博士点基金

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

摘要: 本文从理论上比较了四边形四节点元和四边形八节点元的h-收敛性,得出八节点元较四节点元有较快收敛率的结论.并通过算例进行了验证。
- 有限元 /
- 四节点元 /
- 八节点元
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

[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).