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 - <p style="text-align: justify;">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 $\mathcal{O}(h)$. &nbsp;</p>