D. N. Arnold, R. S. Falk, and R. Winther, Multigrid in H(div) and H(curl), Numer, Maths, pp.85-197, 2000.

P. B. Bochev, C. Garasi, J. Hu, A. Robinson, and R. Tuminaro, An Improved Algebraic Multigrid Method for Solving Maxwell's Equations, SIAM Journal on Scientific Computing, vol.25, issue.2, pp.623-642, 2003.
DOI : 10.1137/S1064827502407706

C. Susanne, L. Brenner, and . Scott, The mathematical theory of finite element methods, of Texts in Applied Mathematics, 2002.

W. Paul, P. R. Gross, and . Kotiuga, Electromagnetic theory and computation: a topological approach, of Mathematical Sciences Research Institute Publications, 2004.

R. Hiptmair, Multigrid Method for Maxwell's Equations, SIAM Journal on Numerical Analysis, vol.36, issue.1, pp.204-225, 1999.
DOI : 10.1137/S0036142997326203

J. Hu, R. Tuminaro, P. Bochev, C. Garasi, and A. Robinson, Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations, SIAM Journal on Scientific Computing, vol.27, issue.5, 2005.
DOI : 10.1137/040608118

M. Kaltenbacher and S. Reitzinger, Algebraic multigrid methods for nodal and edge based discretizations of Maxwell's equations, International Compumag Society Newsletter, vol.9, pp.15-23, 2002.

J. Mandel, M. Brezina, and P. Van?k, Energy Optimization of Algebraic Multigrid Bases, Computing, vol.62, issue.3, pp.62-205, 1999.
DOI : 10.1007/s006070050022

T. Mifune, T. Iwashita, and M. Shimasaki, A fast solver for FEM analyses using the parallelized algebraic multigrid method, IEEE Transactions on Magnetics, vol.38, issue.2, pp.369-372, 2002.
DOI : 10.1109/20.996099

P. Monk, Finite element methods for Maxwell's equations, Numerical Mathematics and Scientific Computation, 2003.

F. Musy, L. Nicolas, and R. Perrussel, Gradient-prolongation commutativity and graph theory, Comptes Rendus Mathematique, vol.341, issue.11, pp.341-707, 2005.
DOI : 10.1016/j.crma.2005.09.037

URL : https://hal.archives-ouvertes.fr/hal-00125223

J. C. Nédélec, Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980.
DOI : 10.1007/BF01396415

S. Reitzinger and J. Schöberl, An algebraic multigrid method for finite element discretizations with edge elements, Numerical Linear Algebra with Applications, vol.1, issue.4, pp.223-238, 2002.
DOI : 10.1002/nla.271

P. Van?k, J. Mandel, and M. Brezina, Algebraisches Mehrgitterverfahren mittels gegl??tteter Aggregation f??r elliptische Aufgaben zweiter und vierter Ordnung, International GAMM-Workshop on Multi-level Methods (Meisdorf, pp.56-179, 1994.
DOI : 10.1007/BF02238511

W. L. Wan, T. F. Chan, and B. Smith, An Energy-minimizing Interpolation for Robust Multigrid Methods, SIAM Journal on Scientific Computing, vol.21, issue.4, pp.1632-1649, 1999.
DOI : 10.1137/S1064827598334277

K. Watanabe and H. Igarashi, On robustness of edge-based finite-element analysis using algebraic multigrid method, pp.24-408, 2005.

K. Watanabe, H. Igarashi, and T. Honma, Comparison of geometric and algebraic multigrid methods in edge-based finite-element analysis, IEEE Transactions on Magnetics, vol.41, issue.5, pp.41-1672, 2005.
DOI : 10.1109/TMAG.2005.846092

J. Xu and L. Zikatanov, On an energy minimizing basis for algebraic multigrid methods, Computing and Visualization in Science, vol.15, issue.3-4, pp.121-127, 2004.
DOI : 10.1007/s00791-004-0147-y