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弹性力学问题的混合有限元分析 被引量:2

Analysis of Some Mixed Finite Elements for Elasticity Problems
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摘要 就弹性力学问题,我们给出了两种新的混合有限元格式,这两种格式都较现有的同阶格式[1,2]节省了自由度,而且论证方法也较简便.同时,该格式也适用于三维问题. Elasticity problems are studied and two new formats of mixed finite element are proposed.The formats save on freedom-degrees and are simper and more convenient than those in [1-2]. Ob viously, they are also applicable to three-dimensional problems.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 1996年第3期348-352,共5页 JUSTC
关键词 弹性力学 自由度 混合有限元 有限元 elasticity problems, freedom-degrees, mixed finite element
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  • 1Douglas N. Arnold,Jim Douglas,Chaitan P. Gupta. A family of higher order mixed finite element methods for plane elasticity[J] 1984,Numerische Mathematik(1):1~22
  • 2C. Johnson,B. Mercier. Some equilibrium finite element methods for two-dimensional elasticity problems[J] 1978,Numerische Mathematik(1):103~116

同被引文献10

  • 1罗振东.平面弹性力学问题的混合元法的泡函数稳定性及其后验误差估计[J].数学物理学报(A辑),2006,26(6):906-916. 被引量:1
  • 2石东洋,梁慧.各向异性网格下线性三角形元的超收敛性分析[J].工程数学学报,2007,24(3):487-493. 被引量:25
  • 3Fraejies de Veubeke B. Displacement and Equilibrium Models the Finite Element Method, Stress Analy- sis//Zienkiewicz O C, Holister G S, eds. New York: Wiley, 1965:145-197.
  • 4Johnson C, Mercier B. Some Equilibrium finite element methods for two-dimensional problems. Numer Math, 1978, 30:103-116.
  • 5Pikaranta J, Stenberg R. Analysis of some mixed finite element methods for plane elasticity equations. Math Comp, 1983, 41(164): 399-423.
  • 6Raviart P A, Thomas J M. A Mixed Finite Element Method for 2nd-order Elliptic Problems. Lecture Notes in Mathematics. Berlin: Springer-Verlag, 1977:292-315.
  • 7Arnold D N, Douglas Jr J, Gupta C P. A family of higher order mixed finite element methods for plane elasticity. Numer Math, 1984, 45:1-22.
  • 8Ciarlet P G. The Finite Element Method for Elliptic Problems. Amsterdam: North-Holland, 1978.
  • 9Falk R S, Osborn J E. Error estimates for mixed methods. RAIRO Numer Anal, 1980, 14:249-277.
  • 10Dongyang SHI,Hui LIANG,Caixia WANG.SUPERCONVERGENCE ANALYSIS OF A NONCONFORMING TRIANGULAR ELEMENT ON ANISOTROPIC MESHES[J].Journal of Systems Science & Complexity,2007,20(4):536-544. 被引量:8

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