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Domain Decomposition Methods in Science and Engineering XVIII pp 145–152Cite as

A Robin Domain Decomposition Algorithm for Contact Problems: Convergence Results

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 70))

Summary

In this paper, we propose and study a Robin domain decomposition algorithm to approximate a frictionless unilateral problem between two elastic bodies. Indeed this algorithm combines, in the contact zone, the Dirichlet and Neumann boundaries conditions (Robin boundary condition). The primary feature of this algorithm is the resolution on each sub-domain of variational inequality.

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References

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Nicolas Oresme, LMNO, Université de Caen Bâtiment Science 3, avenue du Maréchal Juin, 14032, Caen Cedex, France

    Mohamed Ipopa & Taoufik Sassi

Authors
  1. Mohamed Ipopa
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  2. Taoufik Sassi
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Corresponding author

Correspondence to Mohamed Ipopa .

Editor information

Editors and Affiliations

  1. School of Computer Science and Engineering, The Hebrew University of Jerusalem, Ross Building - Givat Ram Campus, 91904, Jerusalem, Israel

    Michel Bercovier

  2. Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, 1211, Genève 24, Switzerland

    Martin J. Gander

  3. Institut für Mathematik, Freie Universität Berlin, Arnimallee 6, 14195, Berlin-Dahlem, Germany

    Ralf Kornhuber

  4. Courant Institute, 251 Mercer Street, New York, NY, 10012, USA

    Olof Widlund

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Ipopa, M., Sassi, T. (2009). A Robin Domain Decomposition Algorithm for Contact Problems: Convergence Results. In: Bercovier, M., Gander, M.J., Kornhuber, R., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02677-5_14

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