@Article{JCM-1-2, author = {}, title = {Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {2}, pages = {99--105}, abstract = {

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].

}, issn = {1991-7139}, doi = {https://doi.org/1983-JCM-9686}, url = {https://global-sci.com/article/86307/error-estimates-for-the-finite-element-solutions-of-some-variational-inequalities-with-nonlinear-monotone-operator} }