Error Estimates for the Finite Element Solutions of Some Variational Inequalities with Nonlinear Monotone Operator
Year: 1983
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 2 : pp. 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].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9686
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 2 : pp. 99–105
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7