Solution of frictional contact problems using ILU and coarse/fine preconditioners

DOI10.1007/BF00365863zbMath0826.73053MaRDI QIDQ1894398

Pierre Alart, Frédéric Lebon

Publication date: 24 July 1995

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

ill-conditioned linear systemsgeneralized Newton methodmixed formulationmultilevel interpolation

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Iterative numerical methods for linear systems (65F10) Theories of friction (tribology) (74A55)

Related Items (9)

Generalized Newton method in contact mechanics ⋮ Toward an optimal a priori reduced basis strategy for frictional contact problems with LATIN solver ⋮ A multiscale large time increment/FAS algorithm with time-space model reduction for frictional contact problems ⋮ Existence and multiplicity of solutions in frictional contact mechanics. I: A simplified criterion ⋮ Parallel frictional contact algorithms and industrial applications ⋮ Schwarz method for dual contact problems ⋮ Surface smoothing procedures in computational contact mechanics ⋮ Numerical study of a stratified composite coupling homogenization and frictional contact ⋮ On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics

Cites Work

• Large-scale vectorized implicit calculations in solid mechanics on a Cray X-MP/48 utilizing EBE preconitioned conjugate gradients
• Space-times of low differentiability and singularities
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Block Preconditioning for the Conjugate Gradient Method
• Comparison of Fast Iterative Methods for Symmetric Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A coarse/fine preconditioner for very ill‐conditioned finite element problems
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations

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