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General approach for a posteriori error estimates for finite element solutions of variational inequalities

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Abstract

  A general approach for a posteriori error estimates for finite element solutions of variational inequalities is proposed. The ideas are based on the experiences in Blum and Suttmeier [3, 4]. The bounds for controlling arbitrary functionals of the discretisation error are constructed by using a duality argument, similar to the concept proposed, e.g., in Becker and Rannacher [2] for variational equalities. The application of the abstract framework is illustrated at a plasticity, the obstacle and Signorini's problem.

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  1. Universität Dortmund, Fachbereich Mathematik, Vogelpothsweg 87, 44221 Dortmund, Germany, , , , , , DE

    F.-T. Suttmeier

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  1. F.-T. Suttmeier
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Received 9 July 2000

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Suttmeier, FT. General approach for a posteriori error estimates for finite element solutions of variational inequalities. Computational Mechanics 27, 317–323 (2001). https://doi.org/10.1007/s004660100246

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  • DOI: https://doi.org/10.1007/s004660100246

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