C. Amrouche, C. Bernardi, M. Dauge, and 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/mma.1670020103
URL : http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B/pdf

I. Babu?ka and A. K. Aziz, Survey lectures on the mathematical foundations of the finite element method In The mathematical foundations of the finite element method with applications to partial differential equations, Proc. Sympos, pp.1-359, 1972.

S. Badia, R. Codina, T. Gudi, and J. Guzmán, Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity, IMA Journal of Numerical Analysis, vol.34, issue.2, pp.800-819, 2014.
DOI : 10.1093/imanum/drt022

L. Beirão-da-veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini et al., BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS, Mathematical Models and Methods in Applied Sciences, vol.61, issue.01, pp.199-214, 2013.
DOI : 10.1051/m2an:2008030

C. Bernardi and F. Hecht, Error indicators for the mortar finite element discretization of the Laplace equation, Mathematics of Computation, vol.71, issue.240, pp.1371-1403, 2002.
DOI : 10.1090/S0025-5718-01-01401-6

A. Bonito, J. Guermond, and F. Luddens, Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains, Journal of Mathematical Analysis and Applications, vol.408, issue.2, pp.498-512, 2013.
DOI : 10.1016/j.jmaa.2013.06.018
URL : https://hal.archives-ouvertes.fr/hal-01024489

D. Braess, Finite elements Theory, fast solvers, and applications in elasticity theory, 2007.

S. C. Brenner and L. R. Scott, The mathematical theory of finite element methods, Texts in Applied Mathematics, vol.15, 2002.

H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2011.
DOI : 10.1007/978-0-387-70914-7

C. Carstensen and M. Schedensack, Medius analysis and comparison results for first-order finite element methods in linear elasticity, IMA Journal of Numerical Analysis, vol.35, issue.4, pp.1591-1621, 2015.
DOI : 10.1093/imanum/dru048

J. Céa, Approximation variationnelle des probl??mes aux limites, Annales de l???institut Fourier, vol.14, issue.2, pp.345-444, 1964.
DOI : 10.5802/aif.181

D. A. Di-pietro and A. Ern, Mathematical Aspects of Discontinuous Galerkin Methods, of Mathématiques & Applications
DOI : 10.1007/978-3-642-22980-0

A. Ern and J. Guermond, Theory and Practice of Finite Elements, Applied Mathematical Sciences, vol.159, 2004.
DOI : 10.1007/978-1-4757-4355-5

A. Ern and J. Guermond, Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.753-778, 2006.
DOI : 10.1137/050624133
URL : http://cermics.enpc.fr/reports/CERMICS-2005/CERMICS-2005-290.pdf

A. Ern and J. Guermond, Abstract, Computational Methods in Applied Mathematics, vol.16, issue.1, pp.51-75, 2016.
DOI : 10.1515/cmam-2015-0034
URL : https://hal.archives-ouvertes.fr/hal-01563594

A. Ern and J. Guermond, Finite element quasi-interpolation and best approximation, M2AN Math. Model. Numer. Anal, vol.51, issue.4, pp.1367-1385, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01155412

K. O. Friedrichs, The identity of weak and strong extensions of differential operators, Transactions of the American Mathematical Society, vol.55, pp.132-151, 1944.
DOI : 10.1090/S0002-9947-1944-0009701-0

T. Gudi, A new error analysis for discontinuous finite element methods for linear elliptic problems, Mathematics of Computation, vol.79, issue.272, pp.2169-2189, 2010.
DOI : 10.1090/S0025-5718-10-02360-4
URL : http://www.ams.org/mcom/2010-79-272/S0025-5718-10-02360-4/S0025-5718-10-02360-4.pdf

S. Hofmann, M. Mitrea, and M. Taylor, Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains, Journal of Geometric Analysis, vol.59, issue.3, pp.593-647, 2007.
DOI : 10.1007/978-1-4612-1015-3

. Jochmann, Regularity of weak solutions of Maxwell's equations with mixed boundary-conditions, Mathematical Methods in the Applied Sciences, vol.2, issue.14, pp.1255-1274, 1999.
DOI : 10.1002/mma.1670020103

J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Mathematica, vol.63, issue.0, pp.193-248, 1934.
DOI : 10.1007/BF02547354
URL : http://doi.org/10.1007/bf02547354

J. Ne?as, Sur une méthode pour résoudre leséquationsleséquations aux dérivées partielles de type elliptique, voisine de la variationnelle, Ann. Scuola Norm. Sup. Pisa, vol.16, pp.305-326, 1962.

J. Schöberl, A posteriori error estimates for Maxwell equations, Mathematics of Computation, vol.77, issue.262, pp.633-649, 2008.
DOI : 10.1090/S0025-5718-07-02030-3

S. Sobolev, Sur un théorème d'analyse fonctionnelle, Rec. Math. [Mat. Sbornik] N.S, vol.4, issue.46, pp.471-497, 1938.

G. Strang, Variational crimes in the finite element method The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, 1972.

A. Veeser and P. Zanotti, Private communication, 2016.

R. Verfürth, A posteriori error estimation techniques for finite element methods. Numerical Mathematics and Scientific Computation