B. Andreianov, F. Boyer, and F. Hubert, Finite volume schemes for the p-Laplacian on Cartesian meshes, M2AN), pp.931-954, 2004.
DOI : 10.1051/m2an:2004045
URL : https://hal.archives-ouvertes.fr/hal-00004088

B. Andreianov, F. Boyer, and F. Hubert, Besov regularity and new error estimates for finite volume approximations of the p-laplacian, Numerische Mathematik, vol.3, issue.4, pp.565-592, 2005.
DOI : 10.1007/s00211-005-0591-8
URL : https://hal.archives-ouvertes.fr/hal-00004419

B. Andreianov, F. Boyer, and F. Hubert, On the finite-volume approximation of regular solutions of the p-Laplacian, IMA Journal of Numerical Analysis, vol.26, issue.3
DOI : 10.1093/imanum/dri047
URL : https://hal.archives-ouvertes.fr/hal-00475905

B. Andreianov, F. Boyer, and F. Hubert, Discrete duality finite volume schemes for Leray???Lions???type elliptic problems on general 2D meshes, Numerical Methods for Partial Differential Equations, vol.152, issue.1, pp.145-195, 2007.
DOI : 10.1002/num.20170
URL : https://hal.archives-ouvertes.fr/hal-00005779

P. F. Antonietti, N. Bigoni, and M. Verani, Mimetic finite difference approximation of quasilinear elliptic problems. Calcolo, pp.45-67, 2014.

P. F. Antonietti, S. Giani, and P. Houston, $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains, SIAM Journal on Scientific Computing, vol.35, issue.3, pp.1417-1439, 2013.
DOI : 10.1137/120877246

R. Araya, C. Harder, D. Paredes, and F. Valentin, Multiscale Hybrid-Mixed Method, SIAM Journal on Numerical Analysis, vol.51, issue.6, pp.3505-3531, 2013.
DOI : 10.1137/120888223
URL : https://hal.archives-ouvertes.fr/hal-01347517

D. N. Arnold, An Interior Penalty Finite Element Method with Discontinuous Elements, SIAM Journal on Numerical Analysis, vol.19, issue.4, pp.742-760, 1982.
DOI : 10.1137/0719052

R. E. Bank and H. Yserentant, On the $${H^1}$$ H 1 -stability of the $${L_2}$$ L 2 -projection onto finite element spaces, Numerische Mathematik, vol.2, issue.2, pp.361-381, 2014.
DOI : 10.1007/s00211-013-0562-4

J. W. Barrett and W. Liu, Finite element approximation of degenerate quasi-linear elliptic and parabolic problems, Pitman Res. Notes Math. Ser, vol.303, pp.1-16, 1994.

F. Bassi, L. Botti, A. Colombo, D. A. Di-pietro, and P. Tesini, On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations, Journal of Computational Physics, vol.231, issue.1, pp.45-65, 2012.
DOI : 10.1016/j.jcp.2011.08.018
URL : https://hal.archives-ouvertes.fr/hal-00562219

L. Beirão-da-veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini et al., BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS, M3AS), pp.199199-214, 2013.
DOI : 10.1142/S0218202512500492

L. Beirão-da-veiga, F. Brezzi, and L. D. Marini, Virtual elements for linear elasticity problems, SIAM J. Numer. Anal, vol.2, issue.51, pp.794-812, 2013.

H. Blatter, Abstract, Journal of Glaciology, vol.39, issue.138, pp.333-344, 1995.
DOI : 10.1029/JC081i006p01059

L. Boccardo, T. Gallouët, and F. Murat, Unicité de la solution de certaineséquationscertaineséquations elliptiques non linéaires, C.R. Acad. Sci. Paris, vol.315, pp.1159-1164, 1992.

J. H. Bramble, J. E. Pasciak, and O. Steinbach, On the stability of the $L^2$ projection in $H^1(\Omega)$, Mathematics of Computation, vol.71, issue.237, pp.147-156, 2002.
DOI : 10.1090/S0025-5718-01-01314-X

S. C. Brenner, Functions, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.306-324, 2003.
DOI : 10.1137/S0036142902401311
URL : https://hal.archives-ouvertes.fr/hal-01093487

S. C. Brenner and L. R. Scott, The mathematical theory of finite element methods, Texts in Applied Mathematics, vol.15, 2008.

F. Brezzi, R. S. Falk, and L. D. Marini, Basic principles of mixed Virtual Element Methods, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.4, pp.1227-1240, 2014.
DOI : 10.1051/m2an/2013138

F. Brezzi, K. Lipnikov, and V. Simoncini, A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES, Mathematical Models and Methods in Applied Sciences, vol.15, issue.10, pp.1533-1551, 2005.
DOI : 10.1142/S0218202505000832

A. Buffa and C. Ortner, Compact embeddings of broken Sobolev spaces and applications, IMA Journal of Numerical Analysis, vol.29, issue.4, pp.827-855, 2009.
DOI : 10.1093/imanum/drn038

E. Burman and A. Ern, Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian, Comptes Rendus Mathematique, vol.346, issue.17-18, pp.1013-1016, 2008.
DOI : 10.1016/j.crma.2008.07.005

C. Carstensen, Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thom??e criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces, Mathematics of Computation, vol.71, issue.237, pp.71157-163, 2002.
DOI : 10.1090/S0025-5718-01-01316-3

J. Casado-diaz, F. Murat, and A. Porretta, Uniqueness results for pseudomonotone problems with, Comptes Rendus Mathematique, vol.344, issue.8, pp.344487-492, 2007.
DOI : 10.1016/j.crma.2007.02.007
URL : https://hal.archives-ouvertes.fr/hal-00139812

P. Castillo, B. Cockburn, I. Perugia, and D. Schötzau, An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems, SIAM Journal on Numerical Analysis, vol.38, issue.5, pp.1676-1706, 2000.
DOI : 10.1137/S0036142900371003

B. Cockburn, D. A. Di-pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, M2AN), pp.635-650, 2016.
DOI : 10.1051/m2an/2015051
URL : https://hal.archives-ouvertes.fr/hal-01115318

B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.47, issue.2, pp.1319-1365, 2009.
DOI : 10.1137/070706616

M. Crouzeix and V. Thomée, The stability in Lp and W 1 p of the L 2 -projection onto finite element function spaces

K. Deimling, Nonlinear functional analysis, 1985.
DOI : 10.1007/978-3-662-00547-7

D. A. Di-pietro, J. Droniou, and A. Ern, A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes, SIAM Journal on Numerical Analysis, vol.53, issue.5, pp.2135-2157, 2015.
DOI : 10.1137/140993971
URL : https://hal.archives-ouvertes.fr/hal-01079342

D. A. Di-pietro and A. Ern, Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier???Stokes equations, Mathematics of Computation, vol.79, issue.271, pp.1303-1330, 2010.
DOI : 10.1090/S0025-5718-10-02333-1
URL : https://hal.archives-ouvertes.fr/hal-00278925

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

D. A. Di-pietro, A. Ern, and S. Lemaire, Abstract, Computational Methods in Applied Mathematics, vol.14, issue.4, pp.461-472, 2014.
DOI : 10.1515/cmam-2014-0018
URL : https://hal.archives-ouvertes.fr/hal-00318390

D. A. Di-pietro and S. Lemaire, An extension of the Crouzeix???Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow, Mathematics of Computation, vol.84, issue.291, pp.1-31, 2015.
DOI : 10.1090/S0025-5718-2014-02861-5
URL : https://hal.archives-ouvertes.fr/hal-00753660

J. I. Diaz and F. De-thelin, On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows, SIAM Journal on Mathematical Analysis, vol.25, issue.4, pp.1085-1111, 1994.
DOI : 10.1137/S0036141091217731

J. Droniou, Finite volume schemes for fully non-linear elliptic equations in divergence form, M2AN), pp.1069-1100, 2006.
DOI : 10.1051/m2an:2007001
URL : https://hal.archives-ouvertes.fr/hal-00009614

J. Droniou and R. Eymard, A mixed finite volume scheme for anisotropic diffusion problems on any grid, Numerische Mathematik, vol.59, issue.1, pp.35-71, 2006.
DOI : 10.1007/s00211-006-0034-1
URL : https://hal.archives-ouvertes.fr/hal-00005565

J. Droniou and R. Eymard, Study of the mixed finite volume method for Stokes and Navier-Stokes equations, Numerical Methods for Partial Differential Equations, vol.7, issue.1, pp.137-171, 2009.
DOI : 10.1002/num.20333
URL : https://hal.archives-ouvertes.fr/hal-00110911

J. Droniou, R. Eymard, T. Gallouët, C. Guichard, and R. Herbin, The gradient discretisation method: A framework for the discretisation and numerical analysis of linear and nonlinear elliptic and parabolic problems, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01382358

J. Droniou, R. Eymard, T. Gallouët, and R. Herbin, A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS, M3AS), pp.1-31, 2010.
DOI : 10.1142/S0218202510004222
URL : https://hal.archives-ouvertes.fr/hal-00346077

J. Droniou, R. Eymard, T. Gallouët, and R. Herbin, GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS, M3AS), pp.2395-2432, 2012.
DOI : 10.1142/S0218202513500358
URL : https://hal.archives-ouvertes.fr/hal-00751551

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

R. Eymard, T. Gallouët, and R. Herbin, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1009-1043, 2010.
DOI : 10.1093/imanum/drn084

V. Girault, B. Rivì, and M. F. Wheeler, A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems, Mathematics of Computation, vol.74, issue.249, pp.53-84, 2005.
DOI : 10.1090/S0025-5718-04-01652-7
URL : https://hal.archives-ouvertes.fr/hal-00020211

R. Glowinski, Numerical methods for nonlinear variational problems, Series in Computational Physics, 1984.
DOI : 10.1115/1.3169136

R. Glowinski and J. Rappaz, Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology, M2AN), pp.175-186, 2003.
DOI : 10.1051/m2an:2003012

R. Herbin and F. Hubert, Benchmark on discretization schemes for anisotropic diffusion problems on general grids, Finite Volumes for Complex Applications V, pp.659-692, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00429843

O. A. Karakashian and W. N. Jureidini, A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations, SIAM Journal on Numerical Analysis, vol.35, issue.1, pp.93-120, 1998.
DOI : 10.1137/S0036142996297199

A. Lasis and E. Süli, Poincaré-type inequalities for broken Sobolev spaces, 2003.

J. Leray and J. Lions, Quelques résultats de Vi?ik sur lesprobì emes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France, vol.93, pp.97-107, 1965.
DOI : 10.1007/978-3-642-11030-6_1

K. Lipnikov and G. Manzini, A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation, Journal of Computational Physics, vol.272, pp.360-385, 2014.
DOI : 10.1016/j.jcp.2014.04.021

W. Liu and N. Yan, Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian, Numerische Mathematik, vol.89, issue.2, pp.341-378, 2001.
DOI : 10.1007/PL00005470

G. J. Minty, On a " monotonicity " method for the solution of non-linear equations in Banach spaces, Proc. Nat. Acad. Sci. U.S.A, pp.1038-1041, 1963.

J. Wang and X. Ye, A weak Galerkin finite element method for second-order elliptic problems, Journal of Computational and Applied Mathematics, vol.241, pp.103-115, 2013.
DOI : 10.1016/j.cam.2012.10.003

J. Wang and X. Ye, A weak Galerkin mixed finite element method for second order elliptic problems, Mathematics of Computation, vol.83, issue.289, pp.2101-2126, 2014.
DOI : 10.1090/S0025-5718-2014-02852-4