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 and F. Brezzi, Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates, ESAIM: Mathematical Modelling and Numerical Analysis, vol.19, issue.1, pp.7-32, 1985.
DOI : 10.1051/m2an/1985190100071

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.

L. Beirão-da-veiga, F. Brezzi, L. D. Marini, A. Russo, and I. Tech, Hpdivq and Hpcurlq-conforming VEM, 2014.

L. Beirão-da-veiga, K. Lipnikov, and G. Manzini, Arbitrary-order nodal mimetic discretizations of elliptic problems on general meshes, SIAM J. Numer. Anal, vol.5, issue.49, pp.1737-1760, 2011.

L. Beirão-da-veiga, K. Lipnikov, and G. Manzini, The Mimetic Finite Difference Method for Elliptic Problems, volume 11 of Modeling, Simulation and Applications, 2014.

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

J. Bonelle, D. A. Di-pietro, and A. Ern, Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes, Computer Aided Geometric Design, vol.35, issue.36, pp.35-3627, 2015.
DOI : 10.1016/j.cagd.2015.03.015

URL : https://hal.archives-ouvertes.fr/hal-01097311

J. Bonelle and A. Ern, Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.2, pp.553-581, 2014.
DOI : 10.1051/m2an/2013104

URL : https://hal.archives-ouvertes.fr/hal-00751284

J. Bonelle and A. Ern, Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes, IMA Journal of Numerical Analysis, vol.35, issue.4, 2015.
DOI : 10.1093/imanum/dru051

URL : https://hal.archives-ouvertes.fr/hal-00939164

A. Bossavit, A uniform rationale for Whitney forms on various supporting shapes, Mathematics and Computers in Simulation, vol.80, issue.8, pp.1567-1577, 2010.
DOI : 10.1016/j.matcom.2008.11.005

URL : https://hal.archives-ouvertes.fr/hal-00555665

F. Brezzi, A. Buffa, and K. Lipnikov, Mimetic finite differences for elliptic problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.2, pp.277-295, 2009.
DOI : 10.1051/m2an:2008046

URL : http://www.numdam.org/article/M2AN_2009__43_2_277_0.pdf

F. Brezzi, A. Buffa, and G. Manzini, Mimetic scalar products of discrete differential forms, Journal of Computational Physics, vol.257, pp.1228-1259, 2014.
DOI : 10.1016/j.jcp.2013.08.017

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 M. Shashkov, Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes, SIAM Journal on Numerical Analysis, vol.43, issue.5, pp.1872-1896, 2005.
DOI : 10.1137/040613950

F. Brezzi, K. Lipnikov, M. Shashkov, and V. Simoncini, A new discretization methodology for diffusion problems on generalized polyhedral meshes, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.37-40, pp.37-403682, 2007.
DOI : 10.1016/j.cma.2006.10.028

A. Cangiani, E. H. Georgoulis, and P. Houston, hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes, Mathematical Models and Methods in Applied Sciences, vol.24, issue.10, pp.2009-2041, 2014.
DOI : 10.1142/S0218202514500146

URL : http://eprints.nottingham.ac.uk/29669/1/hp-DG_polygonal_elements_v13.pdf

S. H. Christiansen, A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES, Mathematical Models and Methods in Applied Sciences, vol.18, issue.05, pp.739-757, 2008.
DOI : 10.1142/S021820250800284X

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, p.2015
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, J. Gopalakrishnan, and F. Sayas, A projection-based error analysis of HDG methods, Mathematics of Computation, vol.79, issue.271, pp.1351-1367, 2010.
DOI : 10.1090/S0025-5718-10-02334-3

B. Cockburn, W. Qiu, and K. Shi, Conditions for superconvergence of HDG methods for second-order elliptic problems, Mathematics of Computation, vol.81, issue.279, pp.1327-1353, 2012.
DOI : 10.1090/S0025-5718-2011-02550-0

L. Codecasa, R. Specogna, and F. Trevisan, A new set of basis functions for the discrete geometric approach, Journal of Computational Physics, vol.229, issue.19, pp.7401-7410, 2010.
DOI : 10.1016/j.jcp.2010.06.023

D. A. Di-pietro, Cell centered Galerkin methods for diffusive problems, M2AN), pp.111-144, 2012.
DOI : 10.1051/m2an/2011016

URL : https://hal.archives-ouvertes.fr/hal-00511125

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 and A. Ern, Hybrid high-order methods for variable-diffusion problems on general meshes, Comptes Rendus Mathematique, vol.353, issue.1, pp.31-34, 2015.
DOI : 10.1016/j.crma.2014.10.013

URL : https://hal.archives-ouvertes.fr/hal-01023302

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. Droniou, Finite volume schemes for diffusion equations: Introduction to and review of modern methods, Mathematical Models and Methods in Applied Sciences, vol.24, issue.08, pp.1575-1619, 2014.
DOI : 10.1142/S0218202514400041

URL : https://hal.archives-ouvertes.fr/hal-00813613

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, 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. Gallouet, and R. Herbin, GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.13, pp.2395-2432, 2013.
DOI : 10.1142/S0218202513500358

URL : https://hal.archives-ouvertes.fr/hal-00751551

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, C. Guichard, and R. Herbin, Small-stencil 3D schemes for diffusive flows in porous media, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.2, pp.265-290, 2012.
DOI : 10.1051/m2an/2011040

URL : https://hal.archives-ouvertes.fr/hal-00542667

C. Harder, D. Paredes, and F. Valentin, A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients, Journal of Computational Physics, vol.245, pp.107-130, 2013.
DOI : 10.1016/j.jcp.2013.03.019

Y. Kuznetsov, K. Lipnikov, and M. Shashkov, The mimetic finite difference method on polygonal meshes for diffusion-type problems, Computational Geosciences, vol.88, issue.3/4, pp.301-324, 2004.
DOI : 10.1007/s10596-004-3771-1

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

M. Vohralík and B. I. Wohlmuth, MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.05, pp.803-838, 2013.
DOI : 10.1142/S0218202512500613

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