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Multigrid Methods for Mixed Finite Element Discretizations of Variational Inequalities

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Multigrid Methods IV

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 116))

Abstract

We present a scheme for solving variational inequalities of obstacle type using mixed finite elements for discretization and we show the equivalence to a modified nonconforming method. This is solved using suitable multigrid methods. Numerical results are given for the elastic-plastic torsion of a cylindrical bar and the dam problem.

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Author information

Authors and Affiliations

  1. Institut für Informatik, Technische Universität München, D-80290, München, Germany

    Tilman Neunhoeffer

Authors
  1. Tilman Neunhoeffer
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Editor information

Editors and Affiliations

  1. Dept. of Numerical Mathematics, CWI, Kruislaan 413, 1098 SJ, Amsterdam, Netherlands

    P. W. Hemker

  2. Faculty of Techn. Mathematics & Informatics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, Netherlands

    P. Wesseling

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© 1994 Springer Basel AG

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Neunhoeffer, T. (1994). Multigrid Methods for Mixed Finite Element Discretizations of Variational Inequalities. In: Hemker, P.W., Wesseling, P. (eds) Multigrid Methods IV. ISNM International Series of Numerical Mathematics, vol 116. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8524-9_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8524-9_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9664-1

  • Online ISBN: 978-3-0348-8524-9

  • eBook Packages: Springer Book Archive

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