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

M. Boulbrachene, M. Haiour, S. Saadi

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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).

Original languageEnglish
Pages (from-to)1547-1561
Number of pages15
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2003
Issue number24
DOIs
Publication statusPublished - 2003

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ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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