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Contribution à l’approximation des inéquations variationnelles en norme $$L^{\infty}$$. (English) Zbl 0535.65044
By invoking the Hahn-Banach theorem, the author has obtained an optimal error estimate for the approximate solution of a class of variational inequalities, which is of the form $$u\leq u_ h+Ch^ 2| Log h|^ 2$$. Also an estimate of the behaviour of the approximate solution of the variational inequality near the discrete free boundary is obtained.
Reviewer: M.A.Noor

##### MSC:
 65K10 Numerical optimization and variational techniques 49J40 Variational inequalities