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A Domain Decomposition Algorithm for Contact Problems:Analysis and Implementation

Published online by Cambridge University Press:  27 January 2009

J. Haslinger ,
R. Kučera  and
T. Sassi
J. Haslinger
Affiliation:
Department of Numerical Mathematics, Charles University Prague, 186 75 Prague, CZ
R. Kučera*
Affiliation:
Department of Mathematics and Descriptive Geometry, VŠB-TU Ostrava, 708 33 Ostrava, CZ
T. Sassi
Affiliation:
Department of Mathematics, University of Basse-Normandie, 14032 Caen, France
*
radek.kucera@vsb.cz
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Abstract

The paper deals with an iterative method for numerical solving frictionless contact problems for two elastic bodies. Each iterative step consists of a Dirichlet problem for the one body, a contact problem for the other one and two Neumann problems to coordinate contact stresses. Convergence is proved by the Banach fixed point theorem in both continuous and discrete case. Numerical experiments indicate scalability of the algorithm for some choices of the relaxation parameter.

Keywords

contact problemdomain decomposition method
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 1: Modelling and numerical methods in contact mechanics , 2009 , pp. 123 - 146
Copyright
© EDP Sciences, 2009

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