## 留言板

 引用本文: 徐兴, 凌道盛, 丁皓江, 杜庆华. 一种h型自适应有限单元*[J]. 应用数学和力学, 1996, 17(6): 483-489.
Xu Xing, Ling Daosheng, Ding Haojiang, Du Qinghua. An h-Type Adaptive Finite Element[J]. Applied Mathematics and Mechanics, 1996, 17(6): 483-489.
 Citation: Xu Xing, Ling Daosheng, Ding Haojiang, Du Qinghua. An h-Type Adaptive Finite Element[J]. Applied Mathematics and Mechanics, 1996, 17(6): 483-489.

## An h-Type Adaptive Finite Element

• 摘要: h型自适应有限单元在网格局部细划时。会产生非常规节点,从而破坏了一般意义上的单元连续性假定。本文利用参照节点对非常规单元进行坐标和位移插值。为保证单元之间坐标和位移的连续性,本文提出了一组修正的形函数,常用的形函数是它的一个特例。本方法应用于有限元程序时,除形函数外无须做任何改动。算例表明水文的方法具有方法简单、精度高、自由度少、计算量小等优点。
•  [1] A. K.Noor and S, N, Atluri, Advances and trends in computational structural mechanics, AIAA Tournal, 25 (1987), 977-995, [2] L, Demkowicz,J. T.Oden, W, Rachowicz and O, Hardy, Toward a universal h-p adaptive finite element strategy, Part 1; Constrained approximation and data structure, Comput, Method Appl, Mech., Engag,77(1989), 79-112, [3] J. T, Oden,L, Demkpwicz, W, Rachowica and T, A, Westermann,Toward a universal h-p adaptive finite element strategy,Part 2; A posteriors error estimation,Comput, Methods Appl.Engng,77 (1989), 113-180, [4] D, W, Kelly, J.P, DE S, R., Gago and O, C, Zienkiewicz, A posteriors error znalysis and adaptive processes in the finite element method, Part j:Error analysis, Int. J.Num, Meth, Engng,19 (1983), 1593-1619, [5] J.P, DE S, R.Gago, D, W, Kelly and O, C.Zienkiewicz, A posteriors error analysis and adaptive processes in the finite element omethod, Part j:Adaptive mesh refinement,Int, J.Num, Meth, Engng,19 (1983),1621-1858. [6] R.E, Bank and A, Werser,Some a posteriors error estimators for elliptic partial differential equations, Moth, Comput,44 (1985),283-301. [7] I.Babuska and A. Miller.A feedback finite element method with a posteriori error estimation.Part Ⅰ:The finite element method and some basic properties of the a posteriors error estimator, Comput. Methods Appl.Mech, Engng.,61(1987),1-40 [8] W.C.Rheinboldt and CH, K, Mesztenyi, On a data structxre for adaptive finite element mesh refinement.ACM Trans.,Math. Software, 6 (1980), 166-187 [9] L, Demkowicz and J, T, Oden,A review of local mesh refinement techniques and corresponding data structures in h-type adaptive finite element methods,TICOM Rept, 88-02, the Texas Institute for Computational Mechanics, the University of Teas at Austin, Texas 78-12(1983). [10] 范天佑,《断裂力学基础》,江苏科学技术出版社(1978),
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##### 出版历程
• 收稿日期:  1994-11-25
• 修回日期:  1996-01-11
• 刊出日期:  1996-06-15

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