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

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  • M. Boulbrachene
  • M. Haiour
  • S. Saadi

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).

Suggested Citation

  • M. Boulbrachene & M. Haiour & S. Saadi, 2003. "L ∞ -error estimate for a system of elliptic quasivariational inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:579135
    DOI: 10.1155/S016117120301189X
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