R. A. Adams and J. J. Fournier, Sobolev spaces, Pure and Applied Mathematics, vol.140, 2003.

J. Aghili, S. Boyaval, and D. A. Di-pietro, Abstract, Computational Methods in Applied Mathematics, vol.15, issue.2, pp.111-134, 2015.
DOI : 10.1515/cmam-2015-0004

F. Bassi, L. Botti, A. Colombo, and S. Rebay, Agglomeration based discontinuous Galerkin discretization of the Euler and Navier???Stokes equations, Computers & Fluids, vol.61, pp.77-85, 2012.
DOI : 10.1016/j.compfluid.2011.11.002

F. Bassi, A. Crivellini, D. A. Di-pietro, and S. Rebay, An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier???Stokes equations, Journal of Computational Physics, vol.218, issue.2, pp.794-815, 2006.
DOI : 10.1016/j.jcp.2006.03.006

F. Bassi, A. Crivellini, D. A. Di-pietro, and S. Rebay, An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows, Computers & Fluids, vol.36, issue.10, pp.1529-1546, 2007.
DOI : 10.1016/j.compfluid.2007.03.012

L. Beirão-da-veiga, C. Lovadina, and G. Vacca, Divergence free Virtual Elements for the Stokes problem on polygonal meshes, M2AN), 2016.

D. Boffi, M. Botti, and D. A. Di-pietro, A Nonconforming High-Order Method for the Biot Problem on General Meshes, SIAM Journal on Scientific Computing, vol.38, issue.3, pp.1508-1537, 2016.
DOI : 10.1137/15M1025505

URL : https://hal.archives-ouvertes.fr/hal-01162976

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

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

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

A. C. E¸smelio?e¸smelio?-glu, B. Cockburn, and W. Qiu, Analysis of an HDG method for the incompressible Navier?Stokes equations, Math. Comp, p.3195, 2016.

C. Chainais-hillairet, S. Krell, and A. Mouton, Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media, Numerical Methods for Partial Differential Equations, vol.50, issue.3, pp.31723-760, 2015.
DOI : 10.1002/num.21913

URL : https://hal.archives-ouvertes.fr/hal-00929823

B. Cockburn, D. A. Di-pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.3, 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

B. Cockburn, G. Kanschat, and D. Schötzau, A locally conservative LDG method for the incompressible Navier-Stokes equations, Mathematics of Computation, vol.74, issue.251, pp.1067-1095, 2005.
DOI : 10.1090/S0025-5718-04-01718-1

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

D. A. Di-pietro and J. Droniou, A Hybrid High-Order method for Leray???Lions elliptic equations on general meshes, Mathematics of Computation, 2016.
DOI : 10.1090/mcom/3180

URL : https://hal.archives-ouvertes.fr/hal-01183484

D. A. Di-pietro and J. Droniou, -approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray???Lions problems, Mathematical Models and Methods in Applied Sciences, 2016.
DOI : 10.1142/S0218202517500191

URL : https://hal.archives-ouvertes.fr/hal-01179426

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 and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.1-21, 2015.
DOI : 10.1016/j.cma.2014.09.009

URL : https://hal.archives-ouvertes.fr/hal-00979435

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, A. Ern, A. Linke, and F. Schieweck, A discontinuous skeletal method for the viscosity-dependent Stokes problem, Computer Methods in Applied Mechanics and Engineering, vol.306, pp.175-195, 2016.
DOI : 10.1016/j.cma.2016.03.033

URL : https://hal.archives-ouvertes.fr/hal-01244387

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

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

H. Egger and C. Waluga, hp analysis of a hybrid DG method for Stokes flow, IMA Journal of Numerical Analysis, vol.33, issue.2, pp.687-721, 2013.
DOI : 10.1093/imanum/drs018

R. Eymard, T. Gallouët, M. Ghilani, and R. Herbin, Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes, IMA Journal of Numerical Analysis, vol.18, issue.4, pp.563-594, 1998.
DOI : 10.1093/imanum/18.4.563

R. Eymard, T. Gallouët, and R. Herbin, Finite volume methods, VII, Handb. Numer. Anal., VII, pp.713-1020, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00346077

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

R. Eymard, R. Herbin, and J. Latché, Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier???Stokes Equations on General 2D or 3D Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.1-36, 2007.
DOI : 10.1137/040613081

URL : https://hal.archives-ouvertes.fr/hal-00004841

G. Giorgiani, S. Fernández-méndez, and A. Huerta, Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier???Stokes equations, Computers & Fluids, vol.98, pp.196-208, 2014.
DOI : 10.1016/j.compfluid.2014.01.011

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

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. Herbin and F. Hubert, Benchmark on discretization schemes for anisotropic diffusion problems on general grids, Finite Volumes for Complex Applications V, pp.659-692
URL : https://hal.archives-ouvertes.fr/hal-00580549

O. Karakashian and T. Katsaounis, A Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations, Discontinuous Galerkin methods, pp.157-166, 1999.
DOI : 10.1007/978-3-642-59721-3_11

L. S. Kovasznay, Laminar flow behind a two-dimensional grid, Proc. Camb, pp.58-62, 1948.
DOI : 10.1098/rspa.1933.0188

C. Lehrenfeld, Hybrid Discontinuous Galerkin methods for solving incompressible flow problems, 2010.

C. Liu and N. J. Walkington, Convergence of Numerical Approximations of the Incompressible Navier???Stokes Equations with Variable Density and Viscosity, SIAM Journal on Numerical Analysis, vol.45, issue.3, pp.1287-1304, 2007.
DOI : 10.1137/050629008

N. C. Nguyen, J. Peraire, and B. Cockburn, An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier???Stokes equations, Journal of Computational Physics, vol.230, issue.4, pp.1147-1170, 2011.
DOI : 10.1016/j.jcp.2010.10.032

I. Oikawa, A Hybridized Discontinuous Galerkin Method with Reduced Stabilization, Journal of Scientific Computing, vol.2, issue.3, pp.327-340, 2015.
DOI : 10.1007/s10915-014-9962-6

W. Qiu and K. Shi, A superconvergent HDG method for the incompressible Navier???Stokes equations on general polyhedral meshes, IMA Journal of Numerical Analysis, vol.36, issue.4, pp.1943-1967, 2016.
DOI : 10.1093/imanum/drv067

B. Rivì-ere and S. Sardar, Penalty-free discontinuous Galerkin methods for incompressible Navier???Stokes equations, Mathematical Models and Methods in Applied Sciences, vol.24, issue.06, pp.1217-1236, 2014.
DOI : 10.1142/S0218202513500826

M. Tavelli and M. Dumbser, A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier???Stokes equations, Applied Mathematics and Computation, vol.248, pp.70-92, 2014.
DOI : 10.1016/j.amc.2014.09.089

M. P. Ueckermann and P. F. Lermusiaux, Hybridizable discontinuous Galerkin projection methods for Navier???Stokes and Boussinesq equations, Journal of Computational Physics, vol.306, pp.390-421, 2016.
DOI : 10.1016/j.jcp.2015.11.028

J. Wang and X. Ye, A weak Galerkin finite element method for the stokes equations, Advances in Computational Mathematics, vol.83, issue.289, pp.155-174, 2016.
DOI : 10.1007/s10444-015-9415-2