Schwarz method for dual contact problems

DOI10.1007/s40314-015-0255-yzbMath1358.74070OpenAlexW2179836374MaRDI QIDQ520325

Frédéric Lebon, Lori Badea

Publication date: 3 April 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-015-0255-y

zbMATH Keywords

variational inequalitiesdomain decomposition methodscontact problemsdual formulationsubspace correction methodsSchwarz method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Existence of solutions of Signorini problems with friction
• Stress-based finite element methods for solving contact problems: comparisons between various solution methods
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Formulation and approximation of quasistatic frictional contact
• Relaxation procedures for solving Signorini-Coulomb contact problems
• Solution of frictional contact problems using ILU and coarse/fine preconditioners
• One- and two-level Schwarz methods for variational inequalities of the second kind and their application to frictional contact
• D-PANA: a convergent block-relaxation solution method for the discretized dual formulation of the Signorini–Coulomb contact problem†
• Convergence Rate of a Schwarz Multilevel Method for the Constrained Minimization of Nonquadratic Functionals
• Computational Contact Mechanics
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