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A posteriori estimates for FE-solutions of variational inequalities

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • H. Blum

    (Universität Dortmund, Fachbereich Mathematik)

  • A. Schröder

    (Universität Dortmund, Fachbereich Mathematik)

  • F. T. Suttmeier

    (Universität Dortmund, Fachbereich Mathematik)

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.

Suggested Citation

  • H. Blum & A. Schröder & F. T. Suttmeier, 2003. "A posteriori estimates for FE-solutions of variational inequalities," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 669-680, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_60
    DOI: 10.1007/978-88-470-2089-4_60
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