Y. Achdou, C. Bernardi, and F. Coquel, A priori and a posteriori analysis of finite volume discretizations of Darcy?s equations, Numerische Mathematik, vol.96, issue.1, pp.17-42, 2003.
DOI : 10.1007/s00211-002-0436-7

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

C. Bernardi and V. Girault, A Local Regularization Operator for Triangular and Quadrilateral Finite Elements, SIAM Journal on Numerical Analysis, vol.35, issue.5, pp.1893-1916, 1998.
DOI : 10.1137/S0036142995293766
URL : http://eprints.iisc.ernet.in/55/1/BERNARDI.pdf

J. H. Bramble and S. R. Hilbert, Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation, SIAM Journal on Numerical Analysis, vol.7, issue.1, pp.112-124, 1970.
DOI : 10.1137/0707006

E. Burman and A. Ern, Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations, Mathematics of Computation, vol.76, issue.259, pp.1119-1140, 2007.
DOI : 10.1090/S0025-5718-07-01951-5
URL : http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01951-5/S0025-5718-07-01951-5.pdf

M. , C. Pinto, and E. Sonnendrücker, Gauss-compatible Galerkin schemes for time-dependent Maxwell equations, Math. Comp, vol.302, pp.2651-2685, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00969326

P. Ciarlet and J. , Analysis of the Scott???Zhang interpolation in the fractional order Sobolev spaces, Journal of Numerical Mathematics, vol.21, issue.3, pp.173-180, 2013.
DOI : 10.1515/jnum-2013-0007
URL : https://hal.archives-ouvertes.fr/hal-00937677

P. G. Ciarlet, The finite element method for elliptic problems, #25001)], p.520174, 1958.

P. Clément, Approximation by finite element functions using local regularization, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.9, issue.R2, pp.77-84, 1975.
DOI : 10.1090/S0025-5718-1973-0331715-3

B. Cockburn, G. Kanschat, and D. Schötzau, A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier???Stokes Equations, Journal of Scientific Computing, vol.40, issue.1-2, pp.61-73, 2007.
DOI : 10.1007/s10915-006-9107-7

D. , D. Pietro, and A. Ern, Mathematical aspects of discontinuous Galerkin methods, ) [Mathematics & Applications

T. Dupont and R. Scott, Polynomial approximation of functions in Sobolev spaces, Mathematics of Computation, vol.34, issue.150, pp.441-463, 1980.
DOI : 10.1090/S0025-5718-1980-0559195-7

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, A. F. Stephansen, and M. Vohralík, Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection???diffusion???reaction problems, Journal of Computational and Applied Mathematics, vol.234, issue.1, pp.114-130, 2010.
DOI : 10.1016/j.cam.2009.12.009
URL : https://hal.archives-ouvertes.fr/hal-00193540

V. Girault and J. Lions, Two-grid finite-element schemes for the transient Navier-Stokes problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.5, pp.945-980, 2001.
DOI : 10.1137/S0036142992232949
URL : http://www.esaim-m2an.org/articles/m2an/pdf/2001/05/m2an0141.pdf

P. Grisvard, Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics, vol.24, 1985.
DOI : 10.1137/1.9781611972030

N. Heuer, On the equivalence of fractional-order Sobolev semi-norms, Journal of Mathematical Analysis and Applications, vol.417, issue.2, pp.505-518, 2014.
DOI : 10.1016/j.jmaa.2014.03.047

O. A. Karakashian and F. Pascal, A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.41, issue.6, pp.2374-2399, 2003.
DOI : 10.1137/S0036142902405217

C. B. Morrey and J. , Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften, 1966.

P. Oswald, ??ber einen BPX-Vorkonditionierer f??r P1-Elemente, Computing, vol.63, issue.2, pp.125-133, 1993.
DOI : 10.1007/BF02243847

A. C. Ponce and J. Van-schaftingen, The continuity of functions with N -th derivative measure, Houston J. Math, vol.33, issue.3, pp.927-939, 2007.

J. Schöberl and C. Lehrenfeld, Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes, Advanced finite element methods and applications, pp.27-56, 2013.
DOI : 10.1007/978-3-642-30316-6_2

R. L. Scott and S. Zhang, Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.483-493, 1990.
DOI : 10.1090/S0025-5718-1990-1011446-7
URL : http://www.ams.org/mcom/1990-54-190/S0025-5718-1990-1011446-7/S0025-5718-1990-1011446-7.pdf

L. Tartar, An introduction to Sobolev spaces and interpolation spaces, of Lecture Notes of the Unione Matematica Italiana, 2007.