EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Issue Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
Page(s) 123 - 146
DOI 10.1051/mmnp/20094106
Published online 27 January 2009

Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 123-146
DOI: 10.1051/mmnp/20094106

A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation

J. Haslinger1, R. Kučera2 and 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

radek.kucera@vsb.cz

Published online: 27 January 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.


Mathematics Subject Classification. 74M15, 65Y05

Key words: contact problem -- domain decomposition method


© EDP Sciences 2009


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.