P. Alart, How to overcome indetermination and interpenetration in granular systems via nonsmooth contact dynamics. An exploratory investigation, Computer Methods in Applied Mechanics and Engineering, vol.270, issue.0, pp.37-56, 2014.
DOI : 10.1016/j.cma.2013.11.020

P. Alart and D. Dureisseix, A scalable multiscale LATIN method adapted to nonsmooth discrete media, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.5, pp.319-331, 2008.
DOI : 10.1016/j.cma.2007.05.002
URL : https://hal.archives-ouvertes.fr/hal-00184829

P. Alart, D. Iceta, and D. Dureisseix, A nonlinear domain decomposition formulation with application to granular dynamics, Computer Methods in Applied Mechanics and Engineering, vol.205, issue.208, pp.205-20859, 2012.
DOI : 10.1016/j.cma.2011.04.024
URL : https://hal.archives-ouvertes.fr/hal-00597519

P. R. Amestoy, I. S. Duff, J. Koster, and J. Excellent, A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling, SIAM Journal on Matrix Analysis and Applications, vol.23, issue.1, pp.15-41, 2001.
DOI : 10.1137/S0895479899358194
URL : https://hal.archives-ouvertes.fr/hal-00808293

P. Avery and C. Farhat, The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.21-26, pp.1673-1683, 2009.
DOI : 10.1016/j.cma.2008.12.014

P. Breitkopf and M. Jean, Modélisationparalì ele des matériaux granulaires, 4e Colloque National en Calcul des Structures, pp.387-392, 1999.

Z. Dostál, T. Kozubek, A. Markopoulos, T. Brzobohat-`-brzobohat-`-y, V. Vondrák et al., A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction, Computer Methods in Applied Mechanics and Engineering, vol.205, issue.208, pp.110-120, 2012.
DOI : 10.1016/j.cma.2011.02.015

D. Dureisseix and C. Farhat, A numerically scalable domain decomposition method for the solution of frictionless contact problems, International Journal for Numerical Methods in Engineering, vol.28, issue.12, pp.2643-2666, 2001.
DOI : 10.1090/conm/218/03003
URL : https://hal.archives-ouvertes.fr/hal-00321391

C. Farhat, A lagrange multiplier based divide and conquer finite element algorithm, Computing Systems in Engineering, vol.2, issue.2-3, pp.149-156, 1991.
DOI : 10.1016/0956-0521(91)90015-W

C. Farhat, P. S. Chen, and J. Mandel, A scalable Lagrange multiplier based domain decomposition method for time-dependent problems, International Journal for Numerical Methods in Engineering, vol.38, issue.22, pp.3831-3854, 1995.
DOI : 10.1002/nme.1620382207

C. Farhat, M. Lesoinne, and K. Pierson, A scalable dual-primal domain decomposition method, Numerical Linear Algebra with Applications, vol.46, issue.7-8, pp.687-714, 2000.
DOI : 10.1137/1.9781611971057.ch4

T. M. Hoang, P. Alart, D. Dureisseix, and G. Saussine, A domain decomposition method for granular dynamics using discrete elements and application to railway ballast, Annals of Solid and Structural Mechanics, pp.87-98, 2011.
DOI : 10.1007/s12356-011-0020-x

M. Jean, The non-smooth contact dynamics method, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.235-257, 1999.
DOI : 10.1016/S0045-7825(98)00383-1
URL : https://hal.archives-ouvertes.fr/hal-01390459

F. Jourdan, P. Alart, and M. Jean, A Gauss-Seidel like algorithm to solve frictional contact problems, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.1-2, pp.31-47, 1998.
DOI : 10.1016/S0045-7825(97)00137-0

T. Koziara and N. Bi´cani´cbi´cani´bi´cani´c, A distributed memory parallel multibody Contact Dynamics code, International Journal for Numerical Methods in Engineering, vol.43, issue.9, pp.437-456, 2011.
DOI : 10.1002/nme.3158

L. Tallec, Domain-decomposition methods in computational mechanics, Computational Mechanics Advances, vol.1, issue.2, pp.121-220, 1994.

J. Mandel, Balancing domain decomposition, Communications in Numerical Methods in Engineering, vol.13, issue.3, pp.233-241, 1993.
DOI : 10.1002/cnm.1640090307
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.876

J. Mandel, R. Tezaur, and C. Farhat, A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems, SIAM Journal on Numerical Analysis, vol.36, issue.5, pp.1370-1391, 1999.
DOI : 10.1137/S0036142997289896
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.9637

J. J. Moreau, Numerical aspects of the sweeping process, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.329-349, 1999.
DOI : 10.1016/S0045-7825(98)00387-9
URL : https://hal.archives-ouvertes.fr/hal-01349847

S. Nineb, P. Alart, and D. Dureisseix, Domain decomposition approach for non-smooth discrete problems, example of a tensegrity structure, Computers & Structures, vol.85, issue.9, pp.499-511, 2007.
DOI : 10.1016/j.compstruc.2006.08.027

F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Bimodal Character of Stress Transmission in Granular Packings, Physical Review Letters, vol.54, issue.1, pp.61-64, 1998.
DOI : 10.1103/PhysRevE.54.861
URL : https://hal.archives-ouvertes.fr/hal-01407369

Z. Shojaaee, M. R. Shaebani, L. Brendel, J. Török, and D. E. Wolf, An adaptive hierarchical domain decomposition method for parallel contact dynamics simulations of granular materials, Journal of Computational Physics, vol.231, issue.2, pp.612-628, 2012.
DOI : 10.1016/j.jcp.2011.09.024

V. Visseq, P. Alart, and D. Dureisseix, High performance computing of discrete nonsmooth contact dynamics with domain decomposition, International Journal for Numerical Methods in Engineering, vol.76, issue.4, pp.584-598, 2013.
DOI : 10.1002/nme.4578
URL : https://hal.archives-ouvertes.fr/hal-00918064

V. Visseq, A. Martin, D. Iceta, E. Azema, D. Dureisseix et al., Dense granular dynamics analysis by a domain decomposition approach, Computational Mechanics, vol.102, issue.19-22, pp.709-723, 2012.
DOI : 10.1007/s00466-012-0699-5
URL : https://hal.archives-ouvertes.fr/hal-00689838