J. Comp. Math., 1 (1983), pp. 99-105.


Error Estimates For The Finite Element Solutions Of Some Variational Inequalities With Nonlinear Monotone Operator

Lie-Heng Wang 1

1 Computing Center, Academia Sinica, China

Received 1992-1-18 Revised Online 2006-11-16
Abstract

In this paper, we estimate the error of the linear finite element solutions of the obstacle problem and the nuilateral problem with monotone operator. we obationed $O(h)$ 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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