V. Kouznetsova, M. Geers, and W. Brekelmans, Multi-scale constitutive modeling of heterogeneous materials with gradient enhanced computational homogenization scheme, International Journal for Numerical Methods in Engineering, vol.54, pp.1235-1260, 2002.

V. Kouznetsova, M. Geers, and W. Brekelmans, Multi-scale second order computational homogenization of multi-phase materials: a nested finite element solution strategy, Computer Methods in Applied Mechanics and Engineering, vol.193, pp.5525-5550, 2004.

X. Yuan and Y. Tomita, A micromechanical approach of nonlocal modeling for media with periodic microstructures, Mechanics Reasearch Communications, vol.35, p.126133, 2008.

F. Bouyge, I. Jasiuk, and M. Ostoja-starzewski, A micromechanically based couple-stress model of an elastic two-phase composite, International Journal of Solids and Structures, vol.38, pp.1721-1735, 2001.

F. Feyel, A multilevel finite element method (FE 2 ) to describe the response of highly non-linear structures using generalized continua, Computer Methods in Applied Mechanics and Engineering, vol.192, pp.3233-3244, 2003.

S. Forest and K. Sab, Cosserat overall modelling of heterogeneous materials, Mechanics Research Communications, vol.25, issue.4, pp.449-454, 1998.

T. Tran, V. Monchiet, and G. Bonnet, A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media, International Journal of Solids and Structures, vol.49, pp.783-792, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00687822

A. Tognevi, M. Guerich, and J. Yvonnet, A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme, International Journal for Numerical Methods in Engineering, vol.108, issue.1-5, pp.3-25, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01258038

T. Hui and C. Oskay, A nonlocal homogenization model for wave dispersion in dissipative composite materials, International Journal of Solids and Structures, vol.50, pp.38-48, 2013.

J. Fish and S. Kuznetsov, Computational continua, International Journal for Numerical Methods in Engineering, vol.84, issue.7, pp.774-802, 2010.

J. Fish, V. Filonova, and D. Fafalis, Computational continua revisited, Computer Methods in Applied Mechanics and Engineering, vol.102, pp.332-378, 2015.

J. Fish, P. Nayak, and M. H. Holmes, Microscale reduction error indicators and estimators for a periodic heterogeneous medium, Computational Mechanics, vol.14, issue.4, pp.323-338, 1994.

C. Farhat and F. Roux, A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.32, issue.6, pp.1205-1227, 1991.

P. L. Tallec, Y. De-roeck, and M. Vidrascu, Domain decomposition methods for large linearly elliptic three-dimensional problems, Journal of Computational and Applied Mathematics, vol.34, issue.1, pp.93-117, 1991.
URL : https://hal.archives-ouvertes.fr/inria-00075376

D. J. Rixen and C. Farhat, A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems, International Journal for Numerical Methods in Engineering, vol.44, issue.4, pp.489-516, 1999.

P. Gosselet, C. Rey, and D. J. Rixen, On the initial estimate of interface forces in FETI methods, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.25, pp.2749-2764, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00277622

N. Spillane, V. Dolean, P. Hauret, F. Nataf, and D. Rixen, Solving generalized eigenvalue problems on the interfaces to build a robust two level FETI method, International Journal for Numerical Methods in Engineering, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00756840

P. Gosselet, D. Rixen, F. Roux, N. Spillane, F. Simultaneous et al., Robust domain decomposition with multiple search directions, International Journal for Numerical Methods in Engineering, vol.104, issue.10, pp.905-927, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01056928

N. Spillane, An adaptive multipreconditioned conjugate gradient algorithm, SIAM Journal on Scientific Computing, vol.38, issue.3, pp.1896-1918, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01170059

C. Bovet, A. Parret-fréaud, N. Spillane, and P. Gosselet, Adaptive multipreconditioned FETI: scalability results and robustness assessment, Computers & Structures, vol.193, pp.1-20, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01458725

P. Ladevèze, O. Loiseau, and D. Dureisseix, A micro-macro and parallel computational strategy for highly heterogeneous structures, International Journal for Numerical Methods in Engineering, vol.52, issue.1-2, pp.121-138, 2001.

P. Ladevèze, J. Passieux, and D. Néron, The latin multiscale computational method and the proper generalized decomposition, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.1287-1296, 2010.

K. Stüben, Algebraic multigrid (AMG): experiences and comparisons, Applied mathematics and computation, vol.13, issue.3-4, pp.419-451, 1983.

J. Ruge and K. Stüben, Efficient solution of finite difference and finite element equations by algebraic multigrid AMG, 1984.

J. W. Ruge and K. Stüben, Algebraic multigrid, Multigrid methods, SIAM, pp.73-130, 1987.

K. Stüben, Numerical Analysis: Historical Developments in the 20th Century, pp.331-359, 2001.

T. I. Zohdi and P. Wriggers, A domain decomposition method for bodies with heterogeneous microstructure basedon material regularization, International Journal of Solids and Structures, vol.36, issue.17, pp.2507-2525, 1999.

T. I. Zohdi, P. Wriggers, and C. Huet, A method of substructuring large-scale computational micromechanical problems, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.5639-5656, 2001.

M. Hautefeuille, J. Colliat, A. Ibrahimbegovic, H. Matthies, and P. Villon, A multi-scale approach to model localized failure with softening, Computers & Structures, vol.94, pp.83-95, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00669446

A. Huerta, E. Nadal, and F. Chinesta, Proper generalized decomposition solutions within a domain decomposition strategy, International Journal for Numerical Methods in Engineering, vol.113, issue.13, pp.1972-1994, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01902762

E. Weinan, B. Engquist, X. Li, W. Ren, and E. Vanden-eijnden, Heterogeneous multiscale methods: a review, vol.2, pp.367-450, 2007.

A. Abdulle, E. Weinan, B. Engquist, and E. Vanden-eijnden, The heterogeneous multiscale method, Acta Numerica, vol.21, pp.1-87, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01111169

T. Y. Hou and X. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media, Journal of computational physics, vol.134, issue.1, pp.169-189, 1997.

Y. Efendiev and T. Y. Hou, Multiscale finite element methods: theory and applications, vol.4, 2009.

H. B. Dhia and G. Rateau, The arlequin method as a flexible engineering design tool, International journal for numerical methods in engineering, vol.62, issue.11, pp.1442-1462, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00018915

F. Kelley, Mesh requirements for the analysis of a stress concentration by the specified boundary displacement method, Proceedings of the second international computers in engineering conference, pp.39-42, 1982.

F. Daghia and P. Ladevèze, A micro-meso computational strategy for the prediction of the damage and failure of laminates, Composite structures, vol.94, issue.12, pp.3644-3653, 2012.

J. Bénézech and G. Couégnat, Variational segmentation of textile composite preforms from x-ray computed tomography, Composite Structures, vol.230, p.111496, 2019.

M. Wangermez, O. Allix, P. Guidault, O. Ciobanu, and C. Rey, Interface coupling method for the global-local analysis of heterogeneous models: A second-order homogenization-based strategy, Computer Methods in Applied Mechanics and Engineering, vol.365, p.113032, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02544212

J. Fish and V. Belsky, Multi-grid method for periodic heterogeneous media part 2: Multiscale modeling and quality control in multidimensional case, Computer Methods in Applied Mechanics and Engineering, vol.126, issue.1-2, pp.17-38, 1995.

J. Fish and V. Belsky, Multigrid method for periodic heterogeneous media part 1: Convergence studies for one-dimensional case, Computer Methods in Applied Mechanics and Engineering, vol.126, issue.1, pp.1-16, 1995.

C. Miehe and C. Bayreuther, On multiscale fe analyses of heterogeneous structures: from homogenization to multigrid solvers, International Journal for Numerical Methods in Engineering, vol.71, issue.10, pp.1135-1180, 2007.

N. Neuss, W. Jäger, and G. Wittum, Homogenization and multigrid, Computing, vol.66, issue.1, pp.1-26, 2001.

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, pp.69-94, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01282728

Y. Chen, L. Gélébart, C. Chateau, M. Bornert, C. Sauder et al., Analysis of the damage initiation in a sic/sic composite tube from a direct comparison between large-scale numerical simulation and synchrotron x-ray micro-computed tomography, International Journal of Solids and Structures, vol.161, pp.111-126, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02010120

A. Prakash and R. Lebensohn, Simulation of micromechanical behavior of polycrystals: finite elements versus fast fourier transforms, Modelling and Simulation in, Materials Science and Engineering, vol.17, issue.6, p.64010, 2009.

M. V. Le, J. Yvonnet, N. Feld, and F. Detrez, The coarse mesh condensation multiscale method for parallel computation of heterogeneous linear structures without scale separation, Computer Methods in Applied Mechanics and Engineering, vol.363, p.112877, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02451108

M. Abràmoff, P. Magalhães, and S. Ram, Image processing with ImageJ, Biophotonics international, vol.11, issue.7, pp.36-42, 2004.

J. Bielak and O. G. Kim, Parallel octree-based finite element method for large-scale earthquake ground motion simulation, CCMES-Comp. Model. Eng, vol.10, issue.2, p.99, 2005.

R. G. Hollister and G. Charras, The accuracy of digital image-based finite element models, J. Biomed. Eng, vol.120, pp.289-295, 1998.

T. Nguyen, J. Yvonnet, M. Bornert, C. Chateau, F. Bilteryst et al., Large-scale simulations of quasi-brittle microcracking in realistic highly heterogeneous microstructures obtained from micro ct imaging, Extreme mechanics letters, vol.17, pp.50-55, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01594674

J. Yvonnet, Computational Homogenization of Heterogeneous Materials with Finite Elements, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02265351

D. Wang, N. Naouar, E. Vidal-sallé, and P. Boisse, Longitudinal compression and poisson ratio of fiber yarns in meso-scale finite element modeling of composite reinforcements, Composites Part B: Engineering, vol.141, 2017.