%0 Journal Article
%T Conjugate gradient type algorithms for frictional multi-contact problems: applications to granular materials
%+ Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS)
%+ Laboratoire de Mécanique et Génie Civil (LMGC)
%+ Modélisation Mathématique en Mécanique (M3)
%A Renouf, Mathieu
%A Alart, Pierre
%< avec comité de lecture
%@ 0045-7825
%J Computer Methods in Applied Mechanics and Engineering
%I Elsevier
%V 194
%N 18-20
%P 2019 - 2041
%8 2005
%D 2005
%R 10.1016/j.cma.2004.07.009
%K Granular media
%K Multi contact
%K Constraints
%K Conjugate gradient
%K Optimization
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]Journal articles
%X 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 adap tations 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.
%G English
%2 https://hal.science/hal-01393138/document
%2 https://hal.science/hal-01393138/file/RA.pdf
%L hal-01393138
%U https://hal.science/hal-01393138
%~ CNRS
%~ INSA-LYON
%~ LAMCOS
%~ LMGC
%~ MIPS
%~ UNIV-MONTPELLIER
%~ INSA-GROUPE
%~ UDL
%~ UM-2015-2021