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A posteriori error estimations of residual type for Signorini's problem
Authors:Patrick Hild  Serge Nicaise
Institution:1. Université de Franche-Comté, Laboratoire de Mathématiques de Besan?on, UMR CNRS 6623, 16 route de Gray, 25030, Besan?on, France
2. Université de Valenciennes et du Hainaut Cambrésis, MACS, ISTV, 59313, Valenciennes Cedex 9, France
Abstract:This paper presents an a posteriori error analysis for the linear finite element approximation of the Signorini problem in two space dimensions. A posteriori estimations of residual type are defined and upper and lower bounds of the discretization error are obtained. We perform several numerical experiments in order to compare the convergence of the terms in the error estimator with the discretization error.
Keywords:65N30  65N15
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