L ∞ -error estimate for a system of elliptic quasivariational inequalities

M. Boulbrachene, M. Haiour and S. Saadi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-15

Abstract:

We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W 2 , 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).

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:579135

DOI: 10.1155/S016117120301189X

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