L ∞ -error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities

M. Boulbrachene, P. Cortey-Dumont and J. C. Miellou

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-11

Abstract:

This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the solution. We prove that the approximation is optimally accurate in L ∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and QVIs. We also prove that this approach extends successfully to the corresponding noncoercive problems.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:172462

DOI: 10.1155/S0161171201010602

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