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Adaptive Finite Element Methods for Elastostatic Contact Problems

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Grid Generation and Adaptive Algorithms

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 113))

Abstract

We prove an a posteriori error estimate for the Signorini problem in elastostatics using a penalty approach. We design a corresponding adaptive algorithm and present some numerical results.

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References

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Author information

Authors and Affiliations

  1. NADA, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Peter Hansbo

  2. Department of Mathematics, Chalmers University of Technology, S-413 96, Göteborg, Sweden

    Claes Johnson

Authors
  1. Peter Hansbo
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  2. Claes Johnson
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Editor information

Editors and Affiliations

  1. Xerox Palo Alto Research Center, 3333 Coyote Hill Road, Palo Alto, CA, 94304-1314, USA

    Marshall W. Bern

  2. Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, New York, 12180-3590, USA

    Joseph E. Flaherty

  3. School of Mathematics, University of Minnesota, 206 Church St. SE, Minneapolis, MN, 55455, USA

    Mitchell Luskin

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© 1999 Springer Science+Business Media New York

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Hansbo, P., Johnson, C. (1999). Adaptive Finite Element Methods for Elastostatic Contact Problems. In: Bern, M.W., Flaherty, J.E., Luskin, M. (eds) Grid Generation and Adaptive Algorithms. The IMA Volumes in Mathematics and its Applications, vol 113. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1556-1_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1556-1_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7191-8

  • Online ISBN: 978-1-4612-1556-1

  • eBook Packages: Springer Book Archive

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