R. Aitbayev, X. Cai, and M. Paraschivoiu, Parallel two-level methods for three-dimensional transonic compressible flow simulations on unstructured meshes, Proceedings of Parallel CFD'99, 1999.
DOI : 10.1016/B978-044482851-4.50012-8

R. Aubry, F. Mut, R. Löhner, and J. R. , Deflated preconditioned conjugate gradient solvers for the Pressure???Poisson equation, Journal of Computational Physics, vol.227, issue.24, pp.2410196-10208, 2008.
DOI : 10.1016/j.jcp.2008.08.025

J. Bramble, J. Pasciak, and J. Xu, Parallel multilevel preconditioners, Mathematics of Computation, vol.55, issue.191, pp.1-22, 1990.
DOI : 10.1090/S0025-5718-1990-1023042-6

URL : http://www.osti.gov/scitech/servlets/purl/6473411

S. C. Brenner, Two-level additive Schwarz preconditioners for plate elements, Wuhan University Journal of Natural Sciences, vol.15, issue.3-4, pp.658-667, 1996.
DOI : 10.1007/BF02900902

X. Cai, C. Farhat, and M. Sarkis, A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations, The Tenth International Conference on Domain Decomposition Methods for Partial Differential Equations, 1997.
DOI : 10.1090/conm/218/03046

X. C. Cai, W. D. Gropp, D. E. Keyes, and M. D. Tidriri, Newton-Krylov-Schwarz Methods in CFD, Proceedings of the International Workshop on Numerical Methods for the Navier-Stokes Equations, Notes in Numerical Fluid Dynamics, pp.17-30, 1994.
DOI : 10.1007/978-3-663-14007-8_3

X. Cai and M. Sarkis, A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.792-797, 1999.
DOI : 10.1137/S106482759732678X

S. Camarri, B. Koobus, M. Salvetti, and A. Dervieux, A low-diffusion MUSCL scheme for LES on unstructured grids, Computers & Fluids, vol.33, issue.9, pp.1101-1129, 2004.
DOI : 10.1016/j.compfluid.2003.10.002

URL : https://hal.archives-ouvertes.fr/hal-00372840

G. Carré, L. Fournier, and S. Lanteri, Parallel linear multigrid algorithms for the acceleration of compressible flow calculations, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.22427-448, 2000.
DOI : 10.1016/S0045-7825(99)00238-8

F. Courty and A. Dervieux, Multilevel functional preconditioning for shape optimisation, International Journal of Computational Fluid Dynamics, vol.280, issue.7, pp.481-490, 2006.
DOI : 10.1007/BF01389538

R. Walters, E. Nielsen, W. K. Anderson, and D. Keyes, Application of Newton-Krylov methodology to a three dimensional unstructured Euler code, AIAA 95-1733-CP, 1995.

A. Frommer and D. B. Szyld, An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms, SIAM Journal on Numerical Analysis, vol.39, issue.2, pp.463-479, 2001.
DOI : 10.1137/S0036142900370824

H. Guillard, A. Janka, and P. Vanek, Analysis of an algebraic Petrov???Galerkin smoothed aggregation multigrid method, Applied Numerical Mathematics, vol.58, issue.12, p.18611874, 2008.
DOI : 10.1016/j.apnum.2007.11.008

URL : https://hal.archives-ouvertes.fr/hal-00871721

J. L. Hennessy and D. A. Patterson, Computer Architecture: A Quantitative Approach, 2011.

D. E. Keyes, How scalable is domain decomposition in practice, Proceedings of the 11 th International Conference on Domain Decomposition Methods, 1998.

B. Koobus, S. Camarri, M. V. Salvetti, S. Wornom, and A. Dervieux, Parallel simulation of three-dimensional complex flows: Application to two-phase compressible flows and turbulent wakes Advances in Engineering Software, pp.328-337, 2007.

B. Koobus and C. Farhat, A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes??????application to vortex shedding, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.15-16, pp.1367-1383, 2004.
DOI : 10.1016/j.cma.2003.12.028

URL : https://hal.archives-ouvertes.fr/hal-00372839

B. Koobus, M. Lallemand, and A. Dervieux, Unstructured volume-agglomeration MG: Solution of the Poisson equation, International Journal for Numerical Methods in Fluids, vol.21, issue.1, pp.27-42, 1994.
DOI : 10.1002/fld.1650180103

URL : https://hal.archives-ouvertes.fr/inria-00074727

R. Löhner, F. Mut, J. R. Cebral, R. Aubry, and G. Houzeaux, Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation: Extensions and improvements, International Journal for Numerical Methods in Engineering, vol.24, issue.1, pp.1-52, 2011.
DOI : 10.1002/nme.2932

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

N. Marco, B. Koobus, and A. Dervieux, An additive multilevel preconditioning method and its application to unstructured meshes, Journal of Scientific Computing, vol.12, issue.3, pp.233-251, 1997.
DOI : 10.1023/A:1025697310775

C. R. Nastase and D. J. Mavriplis, High-order discontinuous Galerkin methods using an hp-multigrid approach, Journal of Computational Physics, vol.213, issue.1, pp.330-357, 2006.
DOI : 10.1016/j.jcp.2005.08.022

F. Nataf, H. Xiang, and V. Dolean, A two level domain decomposition preconditioner based on local Dirichletto-Neumann maps. Comptes Rendus de l'Académie des Sciences Paris, pp.21-221163, 2010.

F. Nataf, H. Xiang, V. Dolean, and N. Spillane, A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps, SIAM Journal on Scientific Computing, vol.33, issue.4, pp.1623-1642, 2011.
DOI : 10.1137/100796376

URL : https://hal.archives-ouvertes.fr/hal-00491919

R. A. Nicolaides, Deflation of Conjugate Gradients with Applications to Boundary Value Problems, SIAM Journal on Numerical Analysis, vol.24, issue.2, pp.355-365, 1987.
DOI : 10.1137/0724027

I. S. Duff, P. R. Amestoy, and J. Excellent, Multifrontal parallel distributed symmetric and unsymmetric solvers, Computer Methods in Applied Mechanics and Engineering, vol.184, pp.501-520, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00856651

Y. Saad, M. Yeung, J. Erhel, and F. Guyomarc-'h, A Deflated Version of the Conjugate Gradient Algorithm, SIAM Journal on Scientific Computing, vol.21, issue.5, pp.1909-1926, 2000.
DOI : 10.1137/S1064829598339761

URL : https://hal.archives-ouvertes.fr/inria-00523686

M. Sala, An algebraic 2-level domain decomposition preconditioner with applications to the compressible Euler equations, International Journal for Numerical Methods in Fluids, vol.33, issue.12, pp.1551-1560, 2002.
DOI : 10.1002/fld.411

M. Sarkis and B. Koobus, A scaled and minimum overlap restricted additive Schwarz method with application to aerodynamics, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.391-400, 2000.
DOI : 10.1016/S0045-7825(99)00236-4

URL : https://hal.archives-ouvertes.fr/hal-00378940

P. , L. Tallec, J. Mandel, and M. Vidrascu, Balancing domain decomposition for plates, Eigth International Symposium on Domain Decomposition Methods for Partial Differential Equations, Penn State, pp.515-524, 1993.

J. M. Tang, S. P. Maclachlan, R. Nabben, and C. Vuik, A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation, SIAM Journal on Matrix Analysis and Applications, vol.31, issue.4, pp.1715-1739, 2010.
DOI : 10.1137/08072084X

C. Vuik and R. Nabben, A comparison of deflation and the balancing preconditionner, SIAM Journal on Scientific Computing, vol.27, issue.5, pp.1742-1759, 2006.