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A Posteriori Error Estimates for a Neumann-Neumann Domain Decomposition Algorithm Applied to Contact Problems

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Domain Decomposition Methods in Science and Engineering XXI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 98))

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Abstract

We consider a Neumann-Neumann Domain Decomposition algorithm associated to a finite element method to approximate a unilateral frictionless contact problem between two elastic bodies. We present a global error estimator that takes into acount as well of the error introduced by finite element analysis as the error committed by the iterative resolution of the domain decomposition algorithm. The control of these errors sources is based on errors indicators that estimate the contribution of each source of error. Numerical results are presented, showing the practical efficiency of the estimator.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Basse-Normandie, Caen, France

    Daniel Choï & Taoufik Sassi

  2. Laboratoire Electronique, Mécanique, Energétique, Université Paris Ouest Nanterre-La Défense, Nanterre, France

    Laurent Gallimard

Authors
  1. Daniel Choï
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  2. Laurent Gallimard
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  3. Taoufik Sassi
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Corresponding author

Correspondence to Daniel Choï .

Editor information

Editors and Affiliations

  1. INRIA, Rennes, France

    Jocelyne Erhel

  2. Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander

  3. Laboratoire Analyse, Géometrie & Applications, Université Paris XIII, Villetaneuse, France

    Laurence Halpern

  4. INRIA, Rennes, France

    Géraldine Pichot

  5. Laboratoire LMNO, Université de Caen, Caen, France

    Taoufik Sassi

  6. New York University Courant Institute, New York, New York, USA

    Olof Widlund

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Choï, D., Gallimard, L., Sassi, T. (2014). A Posteriori Error Estimates for a Neumann-Neumann Domain Decomposition Algorithm Applied to Contact Problems. In: Erhel, J., Gander, M., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-05789-7_74

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