A new solver for the elastic normal contact problem using conjugate gradients, deflation, and an FFT-based preconditioner

DOI10.1016/j.jcp.2013.10.005zbMath1349.74338OpenAlexW2098936603MaRDI QIDQ348456

Edwin A. H. Vollebregt

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.10.005

zbMATH Keywords

fast Fourier transformpreconditionersToeplitz matricescontact mechanicsactive set strategyconjugate gradients method

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Symbolic multibody methods for real-time simulation of railway vehicles ⋮ State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches ⋮ Modulus-based circulant and skew-circulant splitting iteration method for the linear complementarity problem with a Toeplitz matrix ⋮ A preconditioned modulus-based matrix multisplitting block iteration method for the linear complementarity problems with Toeplitz matrix ⋮ Numerical calculation of the elastic field in a half-space using bilinear elements ⋮ The bound-constrained conjugate gradient method for non-negative matrices ⋮ A fast nonlinear conjugate gradient based method for 3D concentrated frictional contact problems ⋮ Detailed wheel/rail geometry processing with the conformal contact approach ⋮ Multigrid with FFT smoother for a simplified 2D frictional contact problem ⋮ A FULL MULTIGRID METHOD FOR LINEAR COMPLEMENTARITY PROBLEMS ARISING FROM ELASTIC NORMAL CONTACT PROBLEMS ⋮ EXTENDING THE BEM FOR ELASTIC CONTACT PROBLEMS BEYOND THE HALF-SPACE APPROACH

Uses Software

• FFTW
• CONTACT
• BCCG+FAI

Cites Work

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• A generalized conjugate gradient algorithm for solving a class of quadratic programming problems
• Three-dimensional elastic bodies in rolling contact
• An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients
• On the portability and efficiency of parallel algorithms and software
• Elasticity solutions for constant and linearly varying loads applied to a rectangular surface patch on the elastic half-space
• A Gauss-Seidel type solver for special convex programs, with application to frictional contact mechanics
• A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems
• The computation of three-dimensional rolling contact with dry friction
• The Simplex Method for Quadratic Programming
• Contact Mechanics and Friction
• A New Active Set Algorithm for Box Constrained Optimization
• Contact Mechanics
• A Proposal for Toeplitz Matrix Calculations
• An Optimal Circulant Preconditioner for Toeplitz Systems
• On the Solution of Large Quadratic Programming Problems with Bound Constraints
• Solution of Sparse Indefinite Systems of Linear Equations
• Simulation of Rough, Elastic Contacts
• Conjugate Gradient Methods for Toeplitz Systems
• Railroad Vehicle Dynamics
• Computational Contact Mechanics
• The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation

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