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A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation.

Authors :
Haslinger, J.
Kučera, R.
Sassi, T.
Source :
Mathematical Modelling of Natural Phenomena. 2009, Vol. 4 Issue 1, p123-146. 24p. 1 Diagram, 8 Charts, 2 Graphs.
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09735348
Volume :
4
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Modelling of Natural Phenomena
Publication Type :
Academic Journal
Accession number :
47081892
Full Text :
https://doi.org/10.1051/mmnp/20094106