An Optimization-Based Domain Decomposition Method for a Two-Body Contact Problem

DOI10.1081/NFA-120023946zbMath1051.74032OpenAlexW1982895231MaRDI QIDQ4435191

Jonas Koko

Publication date: 26 November 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120023946

zbMATH Keywords

Signorini problemtwo-dimensional linear elasticityprescribed displacement problem

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10)

Related Items (2)

Uzawa block relaxation domain decomposition method for the two-body contact problem with Tresca friction ⋮ Convergence analysis of optimization-based domain decomposition methods for a bonded structure

Uses Software

• tn

Cites Work

• A Lagrange multiplier method for the finite element solution of frictionless contact problems
• A segment-to-segment contact strategy
• Numerical solution of the obstacle problem by the penalty method
• Solving the Signorini problem on the basis of domain decomposition techniques
• Solution of contact problems by FETI domain decomposition with natural coarse space projections
• A numerically scalable domain decomposition method for the solution of frictionless contact problems
• Newton-Type Minimization via the Lanczos Method
• A note on tangent stiffness for fully nonlinear contact problems
• Penalty/finite-element approximations of a class of unilateral problems in linear elasticity
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A novel finite element formulation for frictionless contact problems

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