Geodesic
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
J. Haslinger1 ; R. Kučera2 ; T. Sassi3
1 Department of Numerical Mathematics, Charles University Prague, 186 75 Prague, CZ
2 Department of Mathematics and Descriptive Geometry, VŠB-TU Ostrava, 708 33 Ostrava, CZ
3 Department of Mathematics, University of Basse-Normandie, 14032 Caen, France
Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 123-146.

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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.
DOI : 10.1051/mmnp/20094106

J. Haslinger 1 ; R. Kučera 2 ; T. Sassi 3

1 Department of Numerical Mathematics, Charles University Prague, 186 75 Prague, CZ
2 Department of Mathematics and Descriptive Geometry, VŠB-TU Ostrava, 708 33 Ostrava, CZ
3 Department of Mathematics, University of Basse-Normandie, 14032 Caen, France 
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J. Haslinger; R. Kučera; T. Sassi. A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 123-146. doi : 10.1051/mmnp/20094106. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20094106/

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