M. Adams, M. Brezina, J. Hu, and R. Tuminaro, Parallel multigrid smoothing: polynomial versus Gauss???Seidel, Journal of Computational Physics, vol.188, issue.2, pp.593-610, 2003.
DOI : 10.1016/S0021-9991(03)00194-3

A. H. Baker, R. D. Falgout, T. V. Kolev, and U. M. Yang, Multigrid Smoothers for Ultraparallel Computing, SIAM Journal on Scientific Computing, vol.33, issue.5, pp.2864-2887, 2011.
DOI : 10.1137/100798806

I. Babuska, F. Ihlenburg, T. Stouboulis, and S. Gangarai, Aposteriori error estimation for finite element solutions of Helmholtz' equation???Part II: estimation of the pollution error, International Journal for Numerical Methods in Engineering, vol.37, issue.21, pp.3883-3900, 1997.
DOI : 10.1002/(SICI)1097-0207(19971115)40:21<3883::AID-NME231>3.0.CO;2-V

A. Bayliss, C. I. Goldstein, and E. Turkel, On accuracy conditions for the numerical computation of waves, Journal of Computational Physics, vol.59, issue.3, pp.396-404, 1985.
DOI : 10.1016/0021-9991(85)90119-6

J. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994.
DOI : 10.1006/jcph.1994.1159

B. Bergen, T. Gradl, U. Ruede, and F. Hulsemann, A Massively Parallel Multigrid Method for Finite Elements, Computing in Science & Engineering, vol.8, issue.6, pp.56-62, 2006.
DOI : 10.1109/MCSE.2006.102

M. J. Bollhoefer, M. J. Grote, and O. Schenk, Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media, SIAM Journal on Scientific Computing, vol.31, issue.5, pp.31-3781, 2009.
DOI : 10.1137/080725702

M. Brezzina, R. Falgout, S. Maclachlan, T. Manteuffel, S. Mccormick et al., Adaptive Algebraic Multigrid, SIAM Journal on Scientific Computing, vol.27, issue.4, pp.1261-1286, 2006.
DOI : 10.1137/040614402

M. Chanaud, Un solveur linéaire haute performance de systèmes linéaires creux couplant des méthodes multigrilles et directes pour la résolution des équations de Maxwell 3D en régime harmonique, 2011.

M. Chanaud, L. Giraud, D. Goudin, J. Pesque, and J. Roman, A Parallel Full Geometric Multigrid Solver for Time Harmonic Maxwell Problems, SIAM Journal on Scientific Computing, vol.36, issue.2, 2013.
DOI : 10.1137/130909512
URL : https://hal.archives-ouvertes.fr/hal-00847966

E. Chow, An Aggregation Multilevel Method Using Smooth Error Vectors, SIAM Journal on Scientific Computing, vol.27, issue.5, pp.1727-1741, 2006.
DOI : 10.1137/040608192

E. Chow, R. Falgout, J. Hu, R. Tuminaro, and U. Yang, A survey of parallelization techniques for multigrid solvers, Frontiers of Parallel Processing For Scientific Computing, 2006.

]. H. Elman, G. Ernst, and D. Leary, A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations, SIAM Journal on Scientific Computing, vol.23, issue.4, pp.1291-1315, 2001.
DOI : 10.1137/S1064827501357190

Y. A. Erlangga, Advances in Iterative Methods and Preconditioners for the Helmholtz Equation, Archives of Computational Methods in Engineering, vol.15, issue.2, pp.37-66, 2008.
DOI : 10.1007/s11831-007-9013-7

Y. A. Erlangga, C. W. Oosterlee, and C. Vuik, A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems, SIAM Journal on Scientific Computing, vol.27, issue.4, pp.1471-1492, 2006.
DOI : 10.1137/040615195

R. D. Falgout, An introduction to algebraic multigrid solver, UCRL-JRNL-220851, 2006.

R. W. Freund and N. M. , Software for simplified Lanczos and QMR algorithms, Applied Numerical Mathematics, vol.19, issue.3, pp.319-341, 1995.
DOI : 10.1016/0168-9274(95)00089-5

M. J. Gander, Classical multigrid method: Efficient for diffusion problems but ineffective for wave propagation problems, Conf. at Inria Sophia Antipolis, 2009.

J. Gopalakrishnan, J. Pasciak, and L. Demkowicz, Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations, SIAM Journal on Numerical Analysis, vol.42, issue.1, pp.90-108, 2004.
DOI : 10.1137/S003614290139490X

T. Gradl and U. Ruede, High performance multigrid in current large scale parallel computers, 9th Workshop on Parallel Systems and Algorithms, 2008.

E. Haber and S. Maclachlan, A fast method for the solution of the Helmholtz equation, Journal of Computational Physics, vol.230, issue.12, pp.4403-4418, 2011.
DOI : 10.1016/j.jcp.2011.01.015

D. Harutyunyan, F. Izsak, J. Van-der, M. Vegt, and . Botchev, Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.17-18, pp.1620-1638, 2008.
DOI : 10.1016/j.cma.2007.12.006

P. Henon, P. Ramet, and J. Roman, PaStiX: a high-performance parallel direct solver for sparse symmetric positive definite systems, Parallel Computing, vol.28, issue.2, pp.301-321, 2002.
DOI : 10.1016/S0167-8191(01)00141-7

R. Hiptmair and J. Xu, Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2483-2509, 2007.
DOI : 10.1137/060660588

G. Houzeaux, R. Raul-de-la-cruz, H. Owen, and M. Vasquez, Parallel uniform mesh multiplication applied to Navier-Stokes solver, Computer and Fluids, p.17, 2012.
DOI : 10.1016/j.compfluid.2012.04.017

J. Hu, R. Tuminaro, P. Bochev, C. J. Garasi, and A. Robinson, Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations, SIAM Journal on Scientific Computing, vol.27, issue.5, pp.1669-1688, 2006.
DOI : 10.1137/040608118

J. Jones and B. Lee, A Multigrid Method for Variable Coefficient Maxwell's Equations, SIAM Journal on Scientific Computing, vol.27, issue.5, pp.1689-1708, 2006.
DOI : 10.1137/040608283

S. Kim and S. Kim, Multigrid Simulation for High-Frequency Solutions of the Helmholtz Problem in Heterogeneous Media, SIAM Journal on Scientific Computing, vol.24, issue.2, pp.684-701, 2002.
DOI : 10.1137/S1064827501385426

T. Kolev and P. Vassilevski, Parallel Auxiliary Space AMG For H(Curl) Problems, Journal of Computational Mathematics, vol.27, issue.5, pp.604-623, 2009.
DOI : 10.4208/jcm.2009.27.5.013

B. Lee, T. Manteuffel, S. F. Mccormick, and J. Ruge, First order system leastsquares for the Helmholtz equation, SIAM Journal on Scientific Computing, vol.21, pp.1228-1251, 2000.

I. Livshits and A. Brandt, Accuracy Properties of the Wave???Ray Multigrid Algorithm for Helmholtz Equations, SIAM Journal on Scientific Computing, vol.28, issue.4, pp.1228-1251, 2006.
DOI : 10.1137/040620461

S. Maclachlan and C. W. Oosterlee, Algebraic Multigrid Solvers for Complex-Valued Matrices, SIAM Journal on Scientific Computing, vol.30, issue.3, pp.1548-1571, 2008.
DOI : 10.1137/070687232

S. Maclachlan and Y. Saad, A Greedy Strategy for Coarse-Grid Selection, SIAM Journal on Scientific Computing, vol.29, issue.5, pp.1825-1853, 2007.
DOI : 10.1137/060654062

M. Magolu-monga-made, R. Beauwens, and G. Warzée, Preconditioning of discrete Helmholtz operators perturbed by a diagonal complex matrix, Communications in numerical methods in engineering, pp.801-817, 2000.

K. Mer, A. Bachelot, and E. Darrigrand, Coupling of a Multilevel Fast Multipole method and a Microlocal discretization for the 3D Integral Equation of Electromagnetism, C.R. Acad. Sci. Maths, pp.336-505, 2003.

L. N. Olson, J. Schoeder, R. Tuminaro, and B. Jacob, A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization, SIAM Journal on Scientific Computing, vol.33, issue.2, pp.966-991, 2011.
DOI : 10.1137/100803031

B. Reps, W. Vanroose, and H. Bin-zubair, On the indefinite Helmholtz equation: Complex stretched absorbing boundary layers, iterative analysis, and preconditioning, Journal of Computational Physics, vol.229, issue.22, pp.8384-8405, 2010.
DOI : 10.1016/j.jcp.2010.07.022

C. D. Riyanti, A. Kononov, Y. Erlangga, C. Vuik, C. Osterlee et al., A parallel multigrid based preconditioner for the 3D heterogeneous highfrequency Helmholtz equation, Journal of Computational Physics, pp.224-431, 2007.

Y. Saad and M. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986.
DOI : 10.1137/0907058

M. B. Van-gijzen, Y. A. Erlangga, and C. Vuik, Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian, SIAM Journal on Scientific Computing, vol.29, issue.5, pp.29-1942, 2007.
DOI : 10.1137/060661491