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ON THE ERROR ESTIMATE OF LINEAR FINITE ELEMENT APPROXIMATION TO THE ELASTIC CONTACT PROBLEM WITH CURVED CONTACT BOUNDARY

ON THE ERROR ESTIMATE OF LINEAR FINITE ELEMENT APPROXIMATION TO THE ELASTIC CONTACT PROBLEM WITH CURVED CONTACT BOUNDARY
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摘要 In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound O(h[sup ?]) is obtained with requirements of two times continuously differentiable for contact boundary and the usual regular triangulation, while I.Hlavacek et. al. Obtained the error bound O(h[sup ?]) with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]). [ABSTRACT FROM AUTHOR] In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound O(h[sup ?]) is obtained with requirements of two times continuously differentiable for contact boundary and the usual regular triangulation, while I.Hlavacek et. al. Obtained the error bound O(h[sup ?]) with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]). [ABSTRACT FROM AUTHOR]
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2000年第6期561-566,共6页 计算数学(英文)
基金 National Fundation of Sciences of China.
关键词 contact problem finite element approximation contact problem finite element approximation
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参考文献3

  • 1P. G. Ciarlet.The finite element method for elliptic problems[]..1978
  • 2Hlavacek I,Haslinger J,Necas J. Lovisek.Solution of Variational Inequalities in Mechanics[]..1988
  • 3F. Stummel.The generalized patch test[].SIAM Journal on Numerical Analysis.1979

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