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弹性接触问题的对偶混合有限元分析 被引量：5

DUAL MIXED FINITE ELEMENT METHOD FOR CONTACTPROBLEM IN ELASTICITY
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摘要 In this paper, based on the mixed variational formulation in [9], a dual mixedvariational formulation for contact problem in elasticity is presented. The existence and uniqueness of the solution of the dual variational problem are discussed,and the error bound O(he3/4) is obtained for Raviart-Thomas (k = 1) elementapproximation. In this paper, based on the mixed variational formulation in [9], a dual mixedvariational formulation for contact problem in elasticity is presented. The existence and uniqueness of the solution of the dual variational problem are discussed,and the error bound O(he3/4) is obtained for Raviart-Thomas (k = 1) elementapproximation.
作者 王烈衡 王光辉
机构地区 中科院计算数学与科学工程计算研究所
出处 《计算数学》 CSCD 北大核心 1999年第4期483-494,共12页 Mathematica Numerica Sinica
基金 国家自然科学基金
关键词 弹性接触问题 R-T元 混合有限元 弹性力学 Contact problem in elasticity,Dual mixed variationalformulation,Raviart-Thomas element
分类号 O343.3 [理学—固体力学] O242.21 [理学—计算数学]
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参考文献3

二级参考文献1

  • 1Wang Lieheng，Appl Mech Eng，1998年，167卷，275页

共引文献5

同被引文献16

  • 1Kikuchi N and Oden J T. Contact problems in elasticity: A study of variational inequalities and finite element methods.[M] Siam Philadelphia, 1988.
  • 2Ciarlet P G. The Finite Element Method for Elliptic Problem. [M] North Holland, Amsterdare,New York Oxford,1978.
  • 3Admas D A. Sobolev space.[M] Academic Press. New York,1975.
  • 4Wang Lie-heng. On the duality methods for the contact problem in elasticity.[J] Comput. Methods Appl. Mech. Engrg, 1998,167:275-283.
  • 5Brezzi F and Fortin M. Mixed and hybrid finite element method. [M] Springer-Verlag, 1991.
  • 6Glowinski R, Lions J and Tnemolieres R. Numerical analysis of variational inequalities. [M]North-Holland, 1981.
  • 7P.A.Raviart, J.M.Thomas, A mixed finite element method for second order elliptic problems.Lecture notes in Math., Berlin-Heidelberg Newyork Springer, 66(1997) 292-315.
  • 8王烈衡.Stokes问题的混合有限元分析[J].计算数学,1(1987):70-82.
  • 9Daniel Boffi, Carlo Lovadina, Analysis of new argumented Largrangian formulations for mixed finite element schemes. Numer. Math. 75(1997) 405-419.
  • 10Franco Brezzi, Michel Fortin, Mixed and Hybrid finite element methods, Spring-Verlag, 1991.

引证文献5

二级引证文献9

计算数学
1999年 第4期

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