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一个四边形非协调新模式及其收敛性研究

李镛 吴长春

李镛, 吴长春. 一个四边形非协调新模式及其收敛性研究[J]. 应用数学和力学, 1986, 7(7): 647-654.
引用本文: 李镛, 吴长春. 一个四边形非协调新模式及其收敛性研究[J]. 应用数学和力学, 1986, 7(7): 647-654.
Li Yong, Wu Chang-chun. A New Quadrilateral Nonconforming Model and Its Convergence[J]. Applied Mathematics and Mechanics, 1986, 7(7): 647-654.
Citation: Li Yong, Wu Chang-chun. A New Quadrilateral Nonconforming Model and Its Convergence[J]. Applied Mathematics and Mechanics, 1986, 7(7): 647-654.

一个四边形非协调新模式及其收敛性研究

A New Quadrilateral Nonconforming Model and Its Convergence

  • 摘要: 本文给出了一个新的四边形非协调元,利用广义分片检查,对其收敛性进行了研究并给出了应力和位移的误差估计.最后,对弹性力学平面问题做了数值计算.
  • [1] Arantes e Oliveira,E.R.The patch test and general convergence criteria of the finite element method,Int.J.Solids,Structure,13(1977),159-179.
    [2] Ciarlet,P.G..The Finile Element Method for Elliptic Problems,North-Holland.Amsterdam(1978).
    [3] Irons,B.M,.and A.Razzaque.Experience with the patch test for convergence of finite elements,Proc.Symp on the Mathematical Foundations of the Finite Element Method with Application to Partial Differential Operators(Baltimore 1972).A.K.Aziz,ed.,Academic Press.New York(1972),557-587.
    [4] Strang,G.and G Fix.An Analysis of the Fintle Element Methods.Prentice-Hall,Englewood Cliffs(1973).
    [5] Stumncl.F.,The generalized patch test.SIAM J.Numer.Anal.,16(1979),449-471.
    [6] Stummcl.F.,The limitations of the patch test,Int.J.Numer.Meth.Eng.,15(1980)177-188.
    [7] Stummel.F.,Basic compaciness properties of nonconforming and hybrid finite element spaces.RAIRO Anal Numer.,14(1980),81-115.
    [8] Taylor,R.L.et al.A nonconforming element for stress analysis.Int.J.Numer.Meth.,Eng.10(1976).1211-1219.
    [9] Wilson,E.L.et al.Incompatibte displacementwoodels,Numerical and Computer Methods in Structural Mechanics.Fenves,S.J.et al ed.,Academic Press,New York,(1973)43-57.
    [10] Shi Zhong-ci.A convergence condition for the quadrilateral Wilson elemeht,Numer.Math.
    [11] 吴长春,关于二维弹性力学中非协调模式的若干问题(待发表).
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出版历程
  • 收稿日期:  1985-01-18
  • 刊出日期:  1986-07-15

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