G. Chavent and J. Jaffre, Mathematical models and Finite Elements for Reservoir Simulation, vol.17, 1986.

F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, 1991.

P. Raviart and J. Thomas, A mixed finite element method for second order elliptic problems, Mahematical Aspects of Finite Element Method, pp.292-315, 1977.

D. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates, RAIRO Modél. Math. Anal. Numér, vol.19, issue.1, pp.7-32, 1985.

V. Fontaine and A. Younes, Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media, Computational Geosciences, vol.14, issue.1, pp.171-181, 2010.
URL : https://hal.archives-ouvertes.fr/insu-00578745

A. Younes and V. Fontaine, Hybrid and multi-point formulations of the lowest-order mixed methods for Darcy's flow on triangles, International Journal for Numerical Methods in Fluids, vol.58, issue.9, pp.1041-1062, 2008.

D. Arnold, F. Brezzi, B. Cockburn, and L. Marini, Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems, SIAM Journal on Numerical Analysis, vol.39, issue.5, pp.1749-1779, 2002.

R. M. Kirby, S. J. Sherwin, and B. Cockburn, To CG or to HDG: A Comparative Study, Journal of Scientific Computing, vol.51, issue.1, pp.183-212, 2012.

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.

B. Cockburn and J. Gopalakrishnan, A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.42, issue.1, pp.283-301, 2004.

B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems, vol.47, pp.1319-1365, 2009.

B. Cockburn, B. Dong, and J. Guzmán, A superconvergent LDG-hybridizable Galerkin method for secondorder elliptic problems, Mathematics of Computation, vol.77, issue.264, pp.1887-1916, 2008.

B. Cockburn, Static Condensation, Hybridization, and the Devising of the HDG Methods, pp.129-177, 2016.

D. Boffi and D. D. Pietro, Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes, ESAIM: M2AN, vol.52, issue.1, pp.1-28, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01365938

D. D. Pietro, J. Droniou, and G. Manzini, Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes, Journal of Computational Physics, vol.355, pp.397-425, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01564598

B. Cockburn, D. D. Pietro, and A. Ern, Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods, vol.50, pp.635-650, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01115318

D. D. Pietro, A. Ern, and S. Lemaire, A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods, pp.205-236, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01163569

I. Oikawa, A Hybridized Discontinuous Galerkin Method with Reduced Stabilization, Journal of Scientific Computing, vol.65, issue.1, pp.327-340, 2015.

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

N. Nguyen, J. Peraire, and B. Cockburn, A hybridizable discontinuous Galerkin method for Stokes flow, vol.199, pp.582-597, 2010.

N. Nguyen, J. Peraire, and B. Cockburn, An Implicit High-order Hybridizable Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations, J. Comput. Phys, vol.230, issue.4, pp.21-9991, 2011.

W. Qiu and K. Shi, An HDG Method for Convection Diffusion Equation, Journal of Scientific Computing, vol.66, issue.1, pp.346-357, 2016.

N. Nguyen, J. Peraire, and B. Cockburn, An Implicit High-order Hybridizable Discontinuous Galerkin Method for Linear Convection-diffusion Equations, J. Comput. Phys, vol.228, issue.9, pp.21-9991, 2009.

C. Lehrenfeld and J. Schöberl, High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows, vol.307, pp.339-361, 2016.

D. D. Pietro and A. Ern, Hybrid High-Order methods for variable diffusion problems on general meshes, Comptes Rendus Mathématique, vol.353, pp.31-34, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01023302

P. L. Lederer, C. Lehrenfeld, and J. Schöberl, Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows, vol.56, pp.2070-2094, 2018.

P. L. Lederer, C. Lehrenfeld, and J. Schöberl, Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II, ESAIM: M2AN

T. A. Davis, Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms), Society for Industrial and Applied Mathematic, ISBN 9780898716139, p.898716136, 2006.

A. Samii, C. Michoski, and C. Dawson, A parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusion, Computer Methods in Applied Mechanics and Engineering, vol.304, pp.118-139, 2016.

R. Herbin and F. Hubert, Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids, pp.659-692, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00429843