Uzawa block relaxation domain decomposition method for the two-body contact problem with Tresca friction

DOI10.1016/j.cma.2008.08.011zbMath1228.74086OpenAlexW2062469777MaRDI QIDQ653633

Jonas Koko

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.08.011

zbMATH Keywords

domain decompositionFenchel dualityaugmented LagrangianKuhn-Tucker conditionstwo-body contact

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (11)

Finite element approximation and numerical analysis of thermoelectroelastic frictional contact problem with frictional heating ⋮ A survey on dual decomposition methods ⋮ High order mesh-free method for frictional contact ⋮ Parallel Uzawa method for large-scale minimization of partially separable functions ⋮ An augmented Lagrangian method for \(\mathrm{TV}_g +L^1\)-norm minimization ⋮ Multilevel Uzawa and Arrow-Hurwicz algorithms for general saddle point problems ⋮ A domain decomposition method for studying the effects of missing fasteners on the behavior of structural assemblies with contact and friction ⋮ Alternating direction method of multiplier for the unilateral contact problem with an automatic penalty parameter selection ⋮ A Decomposition Method for a Unilateral Contact Problem with Tresca Friction Arising in Electro-elastostatics ⋮ Augmented Lagrangian Domain Decomposition Method for Bonded Structures ⋮ Dual methods for frictional contact problem with electroelastic-locking materials

Uses Software

• Matlab

Cites Work

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• A segment-to-segment contact strategy
• Neumann-Dirichlet algorithm for unilateral contact problems: Convergence results
• The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces
• Solving the Signorini problem on the basis of domain decomposition techniques
• Numerical implementation of two nonconforming finite element methods for unilateral contact
• On a splitting type algorithm for the numerical realization of contact problems with Coulomb friction
• Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique
• A Neumann-Neumann domain decomposition algorithm for the Signorini problem.
• Solution of contact problems by FETI domain decomposition with natural coarse space projections
• Lagrange multiplier-based domain decomposition methods for a non-linear sedimentary basin problem
• Lagrangian formulation of domain decomposition methods: a unified theory
• A numerically scalable domain decomposition method for the solution of frictionless contact problems
• Scalable FETI with optimal dual penalty for a variational inequality
• A note on tangent stiffness for fully nonlinear contact problems
• Contact Mechanics
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Real contact mechanisms and finite element formulation—a coupled thermomechanical approach
• An Optimization-Based Domain Decomposition Method for a Two-Body Contact Problem
• Sur des méthodes d'optimisation par relaxation
• Analysis of frictional contact problem using boundary element method and domain decomposition method

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