Domain decomposition for generalized unilateral semi-coercive contact problem with given friction in elasticity

DOI10.1016/j.matcom.2004.12.007zbMath1177.74297OpenAlexW1974075019MaRDI QIDQ1780459

Ivan Hlaváček, Jiří Nedoma, Josef Daněk

Publication date: 13 June 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.12.007

zbMATH Keywords

Domain decompositionUnilateral contactFormulation in displacementsLinear finite elementsTresca's friction model

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Geological problems (86A60) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (7)

Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion ⋮ Contact on Multiprocessor Environment: from Multicontact Problems to Multiscale Approaches ⋮ A domain decomposition method for studying the effects of missing fasteners on the behavior of structural assemblies with contact and friction ⋮ Mixed finite element analysis of semi-coercive unilateral contact problems with given friction. ⋮ Numerical modelling of the weight-bearing total knee joint replacement and usage in practice ⋮ Domain decomposition method for crack problems with nonpenetration condition ⋮ Domain decomposition method for a model crack problem with a possible contact of crack edges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of variational inequalities in mechanics
• Solving the Signorini problem on the basis of domain decomposition techniques
• Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique
• Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7--8. 2001
• On a solution of a generalized semi-coercive contact problem in thermo-elasticity
• Domain decomposition method for contact problems with small range contact
• A numerically scalable domain decomposition method for the solution of frictionless contact problems
• Approximation of the signorini problem with friction, obeying the coulomb law
• Scalable FETI with optimal dual penalty for a variational inequality
• Analysis of frictional contact problem using boundary element method and domain decomposition method
• Computational Science and Its Applications – ICCSA 2004
• Duality-based domain decomposition with natural coarse-space for variational inequalities
• A domain decomposition strategy for nonclassical frictional multi-contact problems

This page was built for publication: Domain decomposition for generalized unilateral semi-coercive contact problem with given friction in elasticity