Nonconforming mixed variational formulation and domain decomposition for unilateral contact problems

Citation
K. Lhalouani et T. Sassi, Nonconforming mixed variational formulation and domain decomposition for unilateral contact problems, CR AC S I, 327(10), 1998, pp. 901-905
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
327
Issue
10
Year of publication
1998
Pages
901 - 905
Database
ISI
SICI code
0764-4442(199811)327:10<901:NMVFAD>2.0.ZU;2-3
Abstract
In this Note, we deal with the domain decomposition method with non-matchin g grids for solving unilateral contact problem without friction between two deformable bodies. The unilateral contact conditions at the interface are expressed with a mixed formulation. The space of Lagrange multiplier define d on the contact zone is approximated by piecewise constant functions. Opti mal error bound of h 3/4 is obtained. (C) Academie des Sciences/Elsevier, P aris.