一个四边形非协调新模式及其收敛性研究

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

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.

Abstract: This paper presents a new quadrilateral nonconforming finite element. We deal with its convergence by using generalized patch teat. The error on stresses and displacements are obtained and numerical compulations for plane elastic problems are given.

[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).