| Issue |
Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
|
|
|---|---|---|
| Page(s) | 123 - 146 | |
| DOI | https://doi.org/10.1051/mmnp/20094106 | |
| Published online | 27 January 2009 | |
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
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
Corresponding author: radek.kucera@vsb.cz
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.