D. N. Arnold, R. S. Falk, and R. Winther, Finite element exterior calculus, homological techniques, and applications, Acta Numerica, vol.15, pp.1-55, 2006.
DOI : 10.1017/S0962492906210018
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.9322

D. Boffi, Fortin operator and discrete compactness for edge elements, Numerische Mathematik, vol.87, issue.2, pp.229-246, 2000.
DOI : 10.1007/s002110000182

D. Boffi, F. Brezzi, and M. Fortin, Mixed finite element methods and applications, 2013.
DOI : 10.1007/978-3-642-36519-5

D. Boffi, A. Buffa, and L. Gastaldi, Convergence analysis for hyperbolic evolution problems in mixed form, Numerical Linear Algebra with Applications, vol.82, issue.2, pp.541-556, 2013.
DOI : 10.1002/nla.1861

D. Boffi, P. Fernandes, L. Gastaldi, and I. Perugia, Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation, SIAM Journal on Numerical Analysis, vol.36, issue.4, pp.1264-1290, 1999.
DOI : 10.1137/S003614299731853X

A. Bossavit, Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism, Physical Science, Measurement and Instrumentation, Management and Education -Reviews, IEE Proceedings A, pp.493-500, 1988.

S. C. Brenner, F. Li, and L. Sung, A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems, SIAM Journal on Numerical Analysis, vol.46, issue.3, pp.1190-1211, 2008.
DOI : 10.1137/060671760

A. Buffa and I. Perugia, Discontinuous Galerkin Approximation of the Maxwell Eigenproblem, SIAM Journal on Numerical Analysis, vol.44, issue.5, pp.2198-2226, 2006.
DOI : 10.1137/050636887

A. Buffa, G. Sangalli, and R. Vázquez, Isogeometric analysis in electromagnetics: B-splines approximation, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.17-20, pp.1143-1152, 2010.
DOI : 10.1016/j.cma.2009.12.002

M. C. Pinto, S. Jund, S. Salmon, and E. Sonnendrücker, Charge-conserving FEM???PIC schemes on general grids, Comptes Rendus M??canique, vol.342, issue.10-11, pp.10-11, 2014.
DOI : 10.1016/j.crme.2014.06.011
URL : https://hal.archives-ouvertes.fr/hal-00311429

M. C. Pinto, M. Lutz, and E. Sonnendrücker, Compatible Maxwell solvers with particles in 2d. I: conforming and non-conforming schemes with a strong Ampere law, in preparation Compatible Maxwell solvers with particles in 2d. II: conforming and non-conforming schemes with a strong Faraday law

S. Caorsi, P. Fernandes, and M. Raffetto, Towards a good characterization of spectrally correct finite element methods in electromagnetics, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.15, issue.4, pp.21-35, 1996.
DOI : 10.1108/03321649610154195

M. Cessenat, Mathematical methods in electromagnetism, Series on Advances in Mathematics for Applied Sciences Linear theory and applications. MR 1409140, p.78001, 1996.
DOI : 10.1142/2938

M. Costabel and M. Dauge, Computation of resonance frequencies for Maxwell equations in non-smooth domains, Topics in computational wave propagation, pp.125-161, 2003.

S. Depeyre and D. Issautier, A new constrained formulation of the Maxwell system, Rairo- Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, pp.31-327, 1997.

L. Fezoui, S. Lanteri, S. Lohrengel, and S. Piperno, Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6, pp.1149-1176, 2005.
DOI : 10.1051/m2an:2005049
URL : https://hal.archives-ouvertes.fr/hal-00210500

V. Girault and P. Raviart, Finite Element Methods for Navier-Stokes Equations ? Theory and Algorithms, 1986.

E. Gjonaj, T. Lau, and T. Weiland, Conservation Properties of the Discontinuous Galerkin Method for Maxwell Equations, 2007 International Conference on Electromagnetics in Advanced Applications, pp.356-359, 2007.
DOI : 10.1109/ICEAA.2007.4387311

J. S. Hesthaven and T. Warburton, High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1816, pp.493-524, 2004.
DOI : 10.1098/rsta.2003.1332

R. Hiptmair, Finite elements in computational electromagnetism, Acta Numerica, vol.11, pp.237-339, 2002.

D. Issautier, F. Poupaud, J. Cioni, and L. Fezoui, A 2-D Vlasov-Maxwell solver on unstructured meshes, Third international conference on mathematical and numerical aspects of wave propagation, pp.355-371, 1995.

G. B. Jacobs and J. S. Hesthaven, Implicit???explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning, Computer Physics Communications, vol.180, issue.10, pp.1760-1767, 2009.
DOI : 10.1016/j.cpc.2009.05.020

. G. Ch, P. Makridakis, and . Monk, Time-discrete finite element schemes for Maxwell's equations, RAIRO Modél Math Anal Numér, vol.29, issue.2, pp.171-197, 1995.

P. Monk, A Mixed Method for Approximating Maxwell???s Equations, SIAM Journal on Numerical Analysis, vol.28, issue.6, pp.1610-1634, 1991.
DOI : 10.1137/0728081

P. Monk and L. Demkowicz, Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$, Mathematics of Computation, vol.70, issue.234, pp.507-523, 2001.
DOI : 10.1090/S0025-5718-00-01229-1

C. Munz, P. Omnes, R. Schneider, E. Sonnendrücker, and U. Voß, Divergence Correction Techniques for Maxwell Solvers Based on a Hyperbolic Model, Journal of Computational Physics, vol.161, issue.2, pp.484-511, 2000.
DOI : 10.1006/jcph.2000.6507

C. Munz, R. Schneider, E. Sonnendrücker, and U. Voß, Maxwell's equations when the charge conservation is not satisfied, Comptes Rendus de l'Académie des Sciences-Series I, Mathematics, vol.328, issue.5, pp.431-436, 1999.

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

A. Pazy, Semigroups of linear operators and applications to partial differential equations, 1983.
DOI : 10.1007/978-1-4612-5561-1

R. Picard, On a selfadjoint realization of curl and some of its applications, Ricerche di Matematica, vol.47, issue.1, pp.153-180, 1998.

R. N. Rieben, G. H. Rodrigue, and D. A. White, A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids, Journal of Computational Physics, vol.204, issue.2, pp.490-519, 2005.
DOI : 10.1016/j.jcp.2004.10.030

A. Stock, J. Neudorfer, R. Schneider, C. Altmann, and C. Munz, Investigation of the Purely Hyperbolic Maxwell System for Divergence Cleaning in Discontinuous Galerkin based Particle- In-Cell Methods, COUPLED PROBLEMS 2011 IV International Conference on Computational Methods for Coupled Problems in Science and Engineering, 2011.

T. Warburton and M. Embree, The role of the penalty in the local discontinuous Galerkin method for Maxwell???s eigenvalue problem, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.25-28, pp.25-28, 2006.
DOI : 10.1016/j.cma.2005.06.011

D. A. White, J. M. Koning, and R. N. Rieben, Development and application of compatible discretizations of Maxwell's equations, Compatible Spatial Discretizations, pp.209-234, 2006.

K. Yosida, Functional analysis, Classics in Mathematics, vol.123, 1995.

S. Zaglmayr, High order finite element methods for electromagnetic field computation, 2006.