L∞-error Estimates for the Obstacle Problem Revisited
نویسنده
چکیده
Abstract. In this paper, we present an alternative approach to a priori L∞-error estimates for the piecewise linear nite element approximation of the classical obstacle problem. Our approach is based on stability results for discretized obstacle problems and on error estimates for the nite element approximation of functions under pointwise inequality constraints. As an outcome, we obtain the same order of convergence proven in several works before. In contrast to prior results, our estimates can, for example, also be used to study the situation where the function space is discretized but the obstacle is not modi ed at all.
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تاریخ انتشار 2016