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

C. Amrouche and V. Girault, On the existence and regularity of the solution of Stokes problem in arbitrary dimension, Proc. Japan. Acad, pp.171-175, 1991.
DOI : 10.3792/pjaa.67.171

D. Boffi, F. Brezzi, and M. Fortin, Mixed finite element methods and applications, 2013.
DOI : 10.1007/978-3-642-36519-5

J. Bonelle and A. Ern, Analysis of compatible discrete operator schemes for Stokes problems on polyhedral meshes, IMA J. Numer. Anal, vol.34, issue.4, pp.553-581, 2014.

M. A. Case, V. J. Ervin, A. Linke, and L. G. Rebholz, A Connection Between Scott???Vogelius and Grad-Div Stabilized Taylor???Hood FE Approximations of the Navier???Stokes Equations, SIAM Journal on Numerical Analysis, vol.49, issue.4, pp.1461-1481, 2011.
DOI : 10.1137/100794250

L. Cattabriga, Su un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova, vol.31, pp.308-340, 1961.

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

P. G. Ciarlet, J. Roberts, J. E. , and T. , Handbook of numerical analysis Handbook of Numerical Analysis, II. North-Holland Finite element methods, Mixed and Hybrid Methods, 1991.

B. Cockburn, D. A. Di-pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, M2AN), 2015.
DOI : 10.1051/m2an/2015051
URL : https://hal.archives-ouvertes.fr/hal-01115318

B. Cockburn and J. Gopalakrishnan, The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow, SIAM Journal on Numerical Analysis, vol.47, issue.2, pp.1092-1125, 2009.
DOI : 10.1137/080726653

B. Cockburn and K. Shi, Devising methods for Stokes flow: An overview, Computers & Fluids, vol.98, pp.221-229, 2014.
DOI : 10.1016/j.compfluid.2013.11.017

D. A. Di-pietro and J. Droniou, A Hybrid High-Order method for Leray???Lions elliptic equations on general meshes, Mathematics of Computation, 2015.
DOI : 10.1090/mcom/3180
URL : https://hal.archives-ouvertes.fr/hal-01183484

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, Mathematical Aspects of Discontinuous Galerkin Methods, Mathématiques & Applications, vol.69
DOI : 10.1007/978-3-642-22980-0

D. A. Di-pietro and A. Ern, Equilibrated tractions for the Hybrid High-Order method, Comptes Rendus Mathematique, vol.353, issue.3, pp.279-282, 2015.
DOI : 10.1016/j.crma.2014.12.009
URL : https://hal.archives-ouvertes.fr/hal-01079026

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

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

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

K. J. Galvin, A. Linke, L. G. Rebholz, and N. E. Wilson, Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection, Computer Methods in Applied Mechanics and Engineering, vol.237, issue.240, pp.166-176, 2012.
DOI : 10.1016/j.cma.2012.05.008

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations Theory and algorithms, of Springer Series in Computational Mathematics, 1986.

E. W. Jenkins, J. Volker, A. Linke, and L. G. Rebholz, On the parameter choice in grad-div stabilization for the Stokes equations, Advances in Computational Mathematics, vol.26, issue.3, pp.491-516, 2014.
DOI : 10.1007/s10444-013-9316-1

Y. Jeon and E. Park, New locally conservative finite element methods on a rectangular mesh, Numerische Mathematik, vol.15, issue.3, pp.97-119, 2013.
DOI : 10.1007/s00211-012-0477-5

Y. Jeon, E. Park, and D. Sheen, A hybridized finite element method for the Stokes problem, Computers & Mathematics with Applications, vol.68, issue.12, pp.2222-2232, 2014.
DOI : 10.1016/j.camwa.2014.08.005

V. John, A. Linke, C. Merdon, M. Neilan, and L. Rebholz, On the divergence constraint in mixed finite element methods for incompressible flows, 2015.

R. J. Labeur and G. N. Wells, Energy Stable and Momentum Conserving Hybrid Finite Element Method for the Incompressible Navier???Stokes Equations, SIAM Journal on Scientific Computing, vol.34, issue.2, pp.889-913, 2012.
DOI : 10.1137/100818583

C. Lehrenfeld and J. Schöberl, High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows, Computer Methods in Applied Mechanics and Engineering, vol.307, issue.27, 2015.
DOI : 10.1016/j.cma.2016.04.025

A. Linke, Collision in a cross-shaped domain ??? A steady 2d Navier???Stokes example demonstrating the importance of mass conservation in CFD, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.41-44, pp.41-443278, 2009.
DOI : 10.1016/j.cma.2009.06.016

A. Linke, A divergence-free velocity reconstruction for incompressible flows, Comptes Rendus Mathematique, vol.350, issue.17-18, pp.17-18837, 2012.
DOI : 10.1016/j.crma.2012.10.010

A. Linke, On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime, Computer Methods in Applied Mechanics and Engineering, vol.268, pp.782-800, 2014.
DOI : 10.1016/j.cma.2013.10.011

A. Linke, G. Matthies, and L. Tobiska, Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.1, pp.289-309, 2016.
DOI : 10.1051/m2an/2015044

A. Linke and C. Merdon, On velocity errors due to irrotational forces in the Navier???Stokes momentum balance, Journal of Computational Physics, vol.313, pp.654-661, 2016.
DOI : 10.1016/j.jcp.2016.02.070

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

L. Mu, X. Wang, and X. Ye, A modified weak Galerkin finite element method for the Stokes equations, Journal of Computational and Applied Mathematics, vol.275, pp.79-90, 2015.
DOI : 10.1016/j.cam.2014.08.006

N. C. Nguyen, J. Peraire, and B. Cockburn, A hybridizable discontinuous Galerkin method for Stokes flow, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.9-12, pp.582-597, 2010.
DOI : 10.1016/j.cma.2009.10.007

M. Olshanskii, G. Lube, T. Heister, and J. Löwe, Grad???div stabilization and subgrid pressure models for the incompressible Navier???Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.49-52, pp.49-523975, 2009.
DOI : 10.1016/j.cma.2009.09.005

M. A. Olshanskii and A. Reusken, Grad-div stablilization for Stokes equations, Mathematics of Computation, vol.73, issue.248, pp.1699-1718, 2004.
DOI : 10.1090/S0025-5718-03-01629-6

J. R. Shewchuk, Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator, Applied Computational Geometry: Towards Geometric Engineering From the First ACM Workshop on Applied Computational Geometry, pp.203-222, 1996.
DOI : 10.1007/BFb0014497

H. Si, TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator, ACM Transactions on Mathematical Software, vol.41, issue.2, pp.11-12, 2015.
DOI : 10.1145/2629697

T. Streckenbach, J. Fuhrmann, H. Langmach, and M. Uhle, Pdelib ? a software toolbox for numerical computations, 2009.

B. Wang and B. C. Khoo, Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow, Journal of Computational Physics, vol.247, pp.262-278, 2013.
DOI : 10.1016/j.jcp.2013.03.064