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A Posteriori Estimates for a Natural Neumann–Neumann Domain Decomposition Algorithm on a Unilateral Contact Problem

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Abstract

In this paper we present an error estimator for unilateral contact problems solved by a Neumann–Neumann Domain Decomposition algorithm. This error estimator takes into account both the spatial error due to the finite element discretization and the algebraic error due to the domain decomposition algorithm. To differentiate specifically the contribution of these two error sources to the global error, two quantities are introduced: a discretization error indicator and an algebraic error indicator. The effectivity indices and the convergence of both the global error estimator and the error indicators are shown on several examples.

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Authors and Affiliations

  1. LMNO – Université de Caen Basse-Normandie, Bld Maréchal Juin, 14032, Caen Cedex, France

    D. Choï & T. Sassi

  2. LEME, Université Paris Ouest Nanterre-La Défense, 50 rue de Sèvres, 92410, Ville d’Avray, France

    L. Gallimard

Authors
  1. D. Choï
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  2. L. Gallimard
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  3. T. Sassi
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Correspondence to D. Choï.

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Choï, D., Gallimard, L. & Sassi, T. A Posteriori Estimates for a Natural Neumann–Neumann Domain Decomposition Algorithm on a Unilateral Contact Problem. J Sci Comput 64, 818–836 (2015). https://doi.org/10.1007/s10915-014-9944-8

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  • DOI: https://doi.org/10.1007/s10915-014-9944-8

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