L∞-error estimate for a system of elliptic quasivariational inequalities
M. Boulbrachene,1M. Haiour,2and S. Saadi2,3
Received06 Feb 2001
Revised22 Oct 2001
Abstract
We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).