TY - JOUR T1 - The Dual Mixed Method for an Unilateral Problem AU - Wang , Lie-Heng JO - Journal of Computational Mathematics VL - 6 SP - 733 EP - 746 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10231.html KW - Dual Mixed Method, Unilateral Problem. AB -
In this paper, the dual mixed method for an unilateral problem, which is the simplified modelling of scalar function for the friction-free contact problem, is considered. The dual mixed problem is introduced, the existence and uniqueness of the solution of the problem are presented, and error bounds $O(h^{\frac{3}{4}})$ and $O(h^{\frac{3}{2}})$ are obtained for the dual mixed finite element approximations of Raviart-Thomas elements for $k=0$ and $k=1$ respectively.