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Numerical Mathematics and Advanced Applications 2009 pp 297–305Cite as

Domain Decomposition Schemes for Frictionless Multibody Contact Problems of Elasticity

Abstract

The class of parallel Robin (Poincaré) domain decomposition schemes which are based on the penalty method and the simple iteration method for variational equations is proposed for solution of frictionless multibody contact problems of elasticity. The convergence of these schemes is proved. The numerical analysis is made for 2D contact problems using FEM approximations.

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Author information

Authors and Affiliations

  1. Ivan Franko National University of Lviv, Lviv, Ukraine

    Ivan I. Dyyak & Ihor I. Prokopyshyn

Authors
  1. Ivan I. Dyyak
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  2. Ihor I. Prokopyshyn
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Corresponding author

Correspondence to Ivan I. Dyyak .

Editor information

Editors and Affiliations

  1. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Gunilla Kreiss

  2. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Per Lötstedt

  3. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Axel Målqvist

  4. Dept. of Information Technology, Uppsala University, Uppsala, 751 05, Sweden

    Maya Neytcheva

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Dyyak, I.I., Prokopyshyn, I.I. (2010). Domain Decomposition Schemes for Frictionless Multibody Contact Problems of Elasticity. In: Kreiss, G., Lötstedt, P., Målqvist, A., Neytcheva, M. (eds) Numerical Mathematics and Advanced Applications 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11795-4_31

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