一种h型自适应有限单元<sup>*</sup>

徐兴; 凌道盛; 丁皓江; 杜庆华

一种h型自适应有限单元^*

1.
浙江大学力学系, 杭州310027;
2.
清华大学力学系, 北京100084

基金项目: * 国家自然科学基金

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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

An h-Type Adaptive Finite Element

1.
Zhejiang University, Hangzhou 310027, P. R. China;
2.
Qinghua University, Beijing 100084, P. R. China

摘要

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。
- 自适应网格 /
- 有限单元 /
- 误差估计
Abstract: For h-lype adaptive finite element method, the local mesh refinement introduces irregular nodes and destroys the standard continuity between elements. The reference nodes of the irregular are used to interpolate element coordinates and displacements.The improved shape functions, of which the conventional shape functions. are a particular case, are presented to guarantee the continuity, No changes but the shape functions are needed when the mcthod is applied in finite element programs.the computational results the features of the method higher accuracy,simplicity.fewer degrees of freedom and less computation effort.
- adaptivc mesh /
- finite element /
- error estimation

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参考文献(10)

[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),