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On finite element approximation in theL ∞-norm of variational inequalities

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We are interested in the approximation in theL ∞-norm of variational inequalities with non-linear operators and somewhat irregular obstacles. We show that the order of convergence will be the same as that of the equation associated with the non-linear operator if the discrete maximum principle is verified.

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  1. Centre de Mathematiques Appliquées, Equipe de Recherche Associée au CNRS-747, Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    P. Cortey-Dumont

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  1. P. Cortey-Dumont
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Cortey-Dumont, P. On finite element approximation in theL ∞-norm of variational inequalities. Numer. Math. 47, 45–57 (1985). https://doi.org/10.1007/BF01389875

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