Uzawa block relaxation domain decomposition method for a two-body frictionless contact problem

DOI10.1016/j.aml.2009.03.021zbMath1171.74391OpenAlexW2009607597MaRDI QIDQ735112

Jonas Koko

Publication date: 14 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.03.021

zbMATH Keywords

domain decompositionaugmented LagrangianKuhn-Tucker conditionstwo-body frictionless contactUzawa methods

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (9)

Finite element approximation and numerical analysis of thermoelectroelastic frictional contact problem with frictional heating ⋮ High order mesh-free method for frictional contact ⋮ A domain decomposition method for two-body contact problems with Tresca friction ⋮ An accelerated Uzawa method for application to frictionless contact problem ⋮ A Decomposition Method for a Unilateral Contact Problem with Tresca Friction Arising in Electro-elastostatics ⋮ Domain decomposition method for crack problems with nonpenetration condition ⋮ Dual methods for frictional contact problem with electroelastic-locking materials ⋮ Domain Decomposition Methods for Problems of Unilateral Contact Between Elastic Bodies with Nonlinear Winkler Covers ⋮ Domain decomposition method for a model crack problem with a possible contact of crack edges

Cites Work

• The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces
• Numerical implementation of two nonconforming finite element methods for unilateral contact
• Lagrange multiplier-based domain decomposition methods for a non-linear sedimentary basin problem
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
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