L∞-error Estimates for a Class of Semilinear Elliptic Variational Inequalities and Quasi-variational Inequalities
نویسندگان
چکیده
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. 2000 Mathematics Subject Classification. 49J40, 65N30, 65N15.
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