Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009Modelling and numerical methods in contact mechanics
|Page(s)||123 - 146|
|Published online||27 January 2009|
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
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
Corresponding author: firstname.lastname@example.org
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.
Mathematics Subject Classification: 74M15 / 65Y05
Key words: contact problem / domain decomposition method
© EDP Sciences, 2009
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