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Volume 18, Issue 6
On the Error Estimate of Linear Finite Element Approximation to the Elastic Contact Problem with Curved Contact Boundary

Lie-Heng Wang

J. Comp. Math., 18 (2000), pp. 561-566.

Published online: 2000-12

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  • Abstract

In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound $O(h^{1/2})$ 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 $O(h^{3/4})$ with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]).  

  • Keywords

Contact problem, Finite element approximation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-561, author = {Wang , Lie-Heng}, title = {On the Error Estimate of Linear Finite Element Approximation to the Elastic Contact Problem with Curved Contact Boundary}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {561--566}, abstract = {

In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound $O(h^{1/2})$ 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 $O(h^{3/4})$ with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]).  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9066.html} }
TY - JOUR T1 - On the Error Estimate of Linear Finite Element Approximation to the Elastic Contact Problem with Curved Contact Boundary AU - Wang , Lie-Heng JO - Journal of Computational Mathematics VL - 6 SP - 561 EP - 566 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9066.html KW - Contact problem, Finite element approximation. AB -

In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound $O(h^{1/2})$ 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 $O(h^{3/4})$ with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]).  

Lie-Heng Wang. (1970). On the Error Estimate of Linear Finite Element Approximation to the Elastic Contact Problem with Curved Contact Boundary. Journal of Computational Mathematics. 18 (6). 561-566. doi:
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