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A posteriori estimates for FE-solutions of variational inequalities

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Numerical Mathematics and Advanced Applications

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.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    H. Blum, A. Schröder & F. T. Suttmeier

Authors
  1. H. Blum
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  2. A. Schröder
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  3. F. T. Suttmeier
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Editor information

Editors and Affiliations

  1. e Tecnologie Informatiche IMATI-CNR, Università di Pavia and Istituto di Matematica Applicata, Pavia, Italy

    Franco Brezzi

  2. e Tecnologie Informatiche IMATI-CNR, Istituto di Matematica Applicata, Pavia, Italy

    Annalisa Buffa

  3. e Reti ad Alte Prestazioni ICAR-CNR, Istituto per il Calcolo, Napoli, Italy

    Stefania Corsaro

  4. e Reti ad Alte Prestazioni ICAR-CNR, Università di Napoli and Istituto per il Calcolo, Napoli, Italy

    Almerico Murli

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© 2003 Springer-Verlag Italia

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Blum, H., Schröder, A., Suttmeier, F.T. (2003). A posteriori estimates for FE-solutions of variational inequalities. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_60

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_60

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

  • eBook Packages: Springer Book Archive

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