Volume 23, Issue 4
A Mixed Finite Element Method for the Contact Problem in Elasticity

J. Comp. Math., 23 (2005), pp. 441-448.

Published online: 2005-08

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• Abstract

Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from $\mathcal{O}(h^{3/4})$ to quasi-optimal $\mathcal{O}(h|logh|^{1/4})$. If stronger but reasonable regularity is available, the convergence rate can be optimal $\mathcal{O}(h)$.

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@Article{JCM-23-441, author = {}, title = {A Mixed Finite Element Method for the Contact Problem in Elasticity}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {4}, pages = {441--448}, abstract = {

Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from $\mathcal{O}(h^{3/4})$ to quasi-optimal $\mathcal{O}(h|logh|^{1/4})$. If stronger but reasonable regularity is available, the convergence rate can be optimal $\mathcal{O}(h)$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8830.html} }
TY - JOUR T1 - A Mixed Finite Element Method for the Contact Problem in Elasticity JO - Journal of Computational Mathematics VL - 4 SP - 441 EP - 448 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8830.html KW - Contact problem, Mixed finite element method. AB -

Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from $\mathcal{O}(h^{3/4})$ to quasi-optimal $\mathcal{O}(h|logh|^{1/4})$. If stronger but reasonable regularity is available, the convergence rate can be optimal $\mathcal{O}(h)$.

Dong-Ying Hua & Lie-Heng Wang. (1970). A Mixed Finite Element Method for the Contact Problem in Elasticity. Journal of Computational Mathematics. 23 (4). 441-448. doi:
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