C. Amrouche, C. Bernardi, M. Dauge, and A. V. Girault, Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.2, issue.9, pp.823-864, 1998.
DOI : 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B

P. Anselone, Collectively Compact Operator Approximation Theory and Applications to Integral Equations, 1971.

D. Arnold, Differential complexes and numerical stability, Proceedings of the International Congress of Mathematicians, pp.137-157, 2002.

D. Arnold, R. Falk, and A. R. Winther, Finite element exterior calculus, homological techniques, and applications, Acta Numerica, vol.15, pp.1-155, 2006.
DOI : 10.1017/S0962492906210018

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.9322

A. Bespalov-and-n and . Heuer, Optimal error estimation for H(curl)conforming p-interpolation in two dimensions, 2009.

A. Bespalov, N. Heuer, and A. R. Hiptmair, Convergence of the Natural $hp$-BEM for the Electric Field Integral Equation on Polyhedral Surfaces, SIAM Journal on Numerical Analysis, vol.48, issue.4, pp.1518-1529, 2010.
DOI : 10.1137/090766620

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, M. Costabel, M. Dauge, and A. L. Demkowicz, Discrete Compactness for the hp Version of Rectangular Edge Finite Elements, SIAM Journal on Numerical Analysis, vol.44, issue.3, pp.979-1004, 2006.
DOI : 10.1137/04061550X

URL : https://hal.archives-ouvertes.fr/hal-00012191

D. Boffi, L. Demkowicz, and A. M. Costabel, DISCRETE COMPACTNESS FOR p AND hp 2D EDGE FINITE ELEMENTS, Mathematical Models and Methods in Applied Sciences, vol.13, issue.11, pp.1673-1687, 2003.
DOI : 10.1142/S0218202503003070

D. Boffi, P. Fernandes, L. Gastaldi, and A. 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 and W. Forms, A class of finite elements for three-dimensional computations in electromagnetism, Proc. A, pp.493-500, 1988.

A. Buffa, Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations, SIAM Journal on Numerical Analysis, vol.43, issue.1, pp.1-18, 2005.
DOI : 10.1137/S003614290342385X

A. Buffa, P. Ciarlet, J. , and A. E. Jamelot, Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements, Numerische Mathematik, vol.2, issue.4, pp.497-518, 2009.
DOI : 10.1007/s00211-009-0246-2

URL : https://hal.archives-ouvertes.fr/hal-00873069

W. Cao-and-l and . Demkowicz, Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions, Comput. Math. Appl, vol.50, pp.359-366, 2005.

S. Caorsi, P. Fernandes, and A. M. Raffetto, On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems, SIAM Journal on Numerical Analysis, vol.38, issue.2, pp.580-607, 2000.
DOI : 10.1137/S0036142999357506

S. H. Christiansen, Foundations of Finite Element Methods for Wave Equations of Maxwell Type, Applied wave mathematics, pp.335-393, 2009.
DOI : 10.1007/978-3-642-00585-5_17

S. H. Christiansen and R. Winther, Smoothed projections in finite element exterior calculus, Mathematics of Computation, vol.77, issue.262, pp.813-829, 2008.
DOI : 10.1090/S0025-5718-07-02081-9

P. Ciarlet, The Finite Element Method for Elliptic Problems, of Studies in Mathematics and its Applications, 1978.

M. Costabel-and-m and . Dauge, Weighted regularization of Maxwell equations in polyhedral domains, Numerische Mathematik, vol.93, issue.2, pp.239-277, 2002.
DOI : 10.1007/s002110100388

M. Costabel, M. Dauge, and A. C. Schwab, EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS, Mathematical Models and Methods in Applied Sciences, vol.15, issue.04, pp.575-622, 2005.
DOI : 10.1142/S0218202505000480

M. A. Costabel and . Mcintosh, On Bogovski?? and regularized Poincar?? integral operators for de Rham complexes on Lipschitz domains, Mathematische Zeitschrift, vol.254, issue.6, pp.297-320, 2010.
DOI : 10.1007/s00209-009-0517-8

L. Demkowicz, Polynomial Exact Sequences and Projection-Based Interpolation with Application to Maxwell Equations, Lecture Notes in Mathematics, vol.1939, pp.101-158, 2008.
DOI : 10.1007/978-3-540-78319-0_3

L. Demkowicz and I. , Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions, SIAM Journal on Numerical Analysis, vol.41, issue.4, pp.1195-1208, 2003.
DOI : 10.1137/S0036142901387932

L. A. Demkowicz and . Buffa, H(curl), and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates, Comput. Meth. Appl. Mech. Engr, vol.1, issue.194, pp.267-296, 2005.

L. J. Demkowicz and . Kurtz, Projection-based interpolation and automatic hpadaptivity for finite element discretizations of elliptic and Maxwell problems, Proceedings of Journées d'Analyse Fonctionnelle et Numérique en l'honneur de Michel Crouzeix of ESAIM Proceedings, Les Ulis, pp.1-15, 2007.

L. Demkowicz, P. Monk, C. Schwab, and A. L. Vardapetyan, Maxwell eigenvalues and discrete compactness in two dimensions, Computers & Mathematics with Applications, vol.40, issue.4-5, pp.589-605, 2000.
DOI : 10.1016/S0898-1221(00)00182-6

J. Descloux, N. Nassif, and A. J. Rappaz, On spectral approximation. Part I. The problem of convergence, RAIRO Anal, Numér, vol.12, pp.97-112, 1978.

V. Girault-and-p and . Raviart, Finite element methods for Navier?Stokes equations, 1986.
DOI : 10.1007/978-3-642-61623-5

J. Gopalakrishnan-and-l and . Demkowicz, Quasioptimality of some spectral mixed methods, Journal of Computational and Applied Mathematics, vol.167, issue.1, pp.163-182, 2004.
DOI : 10.1016/j.cam.2003.10.001

R. Hiptmair, Canonical construction of finite elements, Mathematics of Computation, vol.68, issue.228, pp.1325-1346, 1999.
DOI : 10.1090/S0025-5718-99-01166-7

F. Kikuchi, On a discrete compactness property for the Nédélec finite elements, J. Fac. Sci., Univ. Tokyo, Sect. I A, vol.36, pp.479-490, 1989.

A. J. Knyazev and . Osborn, New A Priori FEM Error Estimates for Eigenvalues, SIAM Journal on Numerical Analysis, vol.43, issue.6, pp.2647-2667, 2006.
DOI : 10.1137/040613044

P. Monk, Finite Element Methods for Maxwell's Equations, 2003.
DOI : 10.1093/acprof:oso/9780198508885.001.0001

P. Monk-and-l and . Demkowicz, Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$, Mathematics of Computation, vol.70, issue.234, pp.507-523, 2000.
DOI : 10.1090/S0025-5718-00-01229-1

J. Edéleced´edélec, Mixed finite elements in R 3, Numer. Math, vol.35, pp.315-341, 1980.

R. Picard, An elementary proof for a compact imbedding result in generalized electromagnetic theory, Mathematische Zeitschrift, vol.56, issue.100, pp.151-161, 1984.
DOI : 10.1007/BF01161700

P. A. Raviart and J. M. Thomas, A mixed finite element method for 2-nd order elliptic problems, Springer Lecture Notes in Mathematics, vol.9, pp.292-315, 1977.
DOI : 10.1007/BF01436186

H. Whitney, Geometric Integration Theory, 1957.
DOI : 10.1515/9781400877577