Title: Error estimates for the approximation of a class of variational
inequalities
Authors: Richard S. Falk
Source: Math. of Comp., 28 (1974), 963-971.
Status: Published
Abstract: In this paper, we prove a general approximation theorem
useful in obtaining order of convergence estimates for the
approximation of the solutions of a class of variational
inequalities. The theorem is then applied to obtain an
"optimal" rate of convergence for the approximation of a
second-order elliptic problem with convex set
K = {v in H_0^1(Omega): v >= X a.e. in Omega }.