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 $\mathcal{O}(h)$.