A Posteriori Error Estimation in Mixed Finite Element Methods for Signorini’s Problem

Andreas Schröder ()
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Andreas Schröder: Humboldt-Universität zu Berlin, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 801-808 from Springer

Abstract: Abstract This paper presents a posteriori error estimates for Signorini’s problem which is discretized via a mixed finite element approach. The error control relies on the estimation of the discretization error of an auxiliary problem given as a variational equation. The resulting error estimates capture the discretization error of the auxiliary problem, the geometrical error and the error given by the complementary condition. The estimates are applied within adaptive finite element schemes. Numerical results confirm the applicability of the theoretical findings.

Keywords: Variational Inequality; Contact Problem; Posteriori Error; Geometrical Error; Discretization Error (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_86

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DOI: 10.1007/978-3-642-11795-4_86

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