International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 24, Pages 1547-1561
doi:10.1155/S016117120301189X
L∞-error estimate for a system of elliptic quasivariational inequalities
M. Boulbrachene1
, M. Haiour2
and S. Saadi2
1Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khad, 123, Oman
2Département de Mathématiques, Faculté des Sciences, Université de Annaba, BP 12, Annaba 23000, Algeria
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).