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Computer Methods in Applied Mechanics and Engineering 194 (2005) 2019-2041
Conjugate gradient type algorithms for frictional multi-contact problems: applications to granular materials
Mathieu Renouf 1, 2, Pierre Alart 1
(2005)

This paper presents gradient type algorithms to solve frictional multi-contact problems written as quasi-optimization problems. A single loop scheme formally close to the classical conjugate gradient method is proposed with some adaptations of the iterate corrections and gradient projections. Since the convergence is difficult to prove, various tests in the field of granular media are performed with comparison with the non-linear Gauss-Seidel scheme. (c) 2004 Elsevier B.V. All rights reserved.
1 :  Laboratoire de mécanique et génie civil (LMGC)
CNRS : UMR5508 – Université Montpellier II - Sciences et techniques
2 :  Laboratoire de Mécanique des Contacts et des Structures (LaMCoS)
CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon
Sciences de l'ingénieur/Mécanique/Mécanique des solides

Physique/Mécanique/Mécanique des solides

Mathématiques/Analyse numérique
conjugate gradient – optimization – constraints – multi-contact – granular media – NEWTON METHOD – SIMULATION – FLOWS