A posteriori estimates for FE-solutions of variational inequalities

H. Blum, A. Schröder and F. T. Suttmeier
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H. Blum: Universität Dortmund, Fachbereich Mathematik
A. Schröder: Universität Dortmund, Fachbereich Mathematik
F. T. Suttmeier: Universität Dortmund, Fachbereich Mathematik

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 669-680 from Springer

Abstract: Summary The concept of weighted residual based estimators for a posteriori error control is extended in two respects: first, variational inequalities arising from problems in structural mechanics are treated by a suitable adaptation of Natterer’s duality argument; second, the arguments are carried over to p- and hp-finite element spaces, for which we propose an adaptive hp-algorithm. Several numerical tests confirm the robustness and efficiency of our results.

Keywords: Variational Inequality; Posteriori Error; Obstacle Problem; Posteriori Error Estimate; Finite Element Space (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_60

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DOI: 10.1007/978-88-470-2089-4_60

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