TY - JOUR T1 - Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator JO - Journal of Computational Mathematics VL - 2 SP - 99 EP - 105 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9686.html KW - AB -

In this paper, we estimate the error of the linear finite element solutions of the obstacle problem and the unilateral problem with monotone operator. We obtained $O(h)$ error bound for the obstacle problem and $O(h^{3/4})$ error bound for the unilateral problem. And if the solution $u^*$ of the unilateral problem possesses more smoothness, then $O(h)$ error bound can be obtained in the same way as [2].