P. F. Antonietti, A. Cangiani, J. Collis, Z. Dong, E. H. Georgoulis et al., Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains, pp.281-310, 2016.
DOI : 10.1007/978-3-662-03490-3

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
URL : http://dro.dur.ac.uk/15157/1/15157.pdf?DDD10+fzlv61+d700tmt

D. N. Arnold, D. Boffi, and R. S. Falk, Approximation by quadrilateral finite elements, Mathematics of Computation, vol.71, issue.239, pp.909-922, 2002.
DOI : 10.1090/S0025-5718-02-01439-4
URL : http://arxiv.org/abs/math/0005036

F. Bassi, L. Botti, and A. Colombo, Agglomeration-based physical frame dG discretizations: An attempt to be mesh free, Mathematical Models and Methods in Applied Sciences, vol.82, issue.08, pp.1495-1539, 2014.
DOI : 10.1137/S0036142998337247

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

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, S. Rebay, G. Mariotti, S. Pedinotti, and M. Savini, A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows, Proceedings of the 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, pp.99-108, 1997.

L. Beirão-da-veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini et al., BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS, Mathematical Models and Methods in Applied Sciences, vol.61, issue.01, pp.199-214, 2013.
DOI : 10.1051/m2an:2008030

L. Botti, Influence of Reference-to-Physical Frame Mappings on Approximation Properties of Discontinuous Piecewise Polynomial Spaces, Journal of Scientific Computing, vol.85, issue.239, pp.675-703, 2012.
DOI : 10.1007/s002110000104

S. C. Brenner and L. R. Scott, The Mathematical Theory of Finite Element Methods, 2008.

F. Brezzi, G. Manzini, D. Marini, P. Pietra, and A. Russo, Discontinuous Galerkin approximations for elliptic problems, Numerical Methods for Partial Differential Equations, vol.34, issue.4, pp.365-378, 2000.
DOI : 10.1090/S0025-5718-1980-0559195-7

J. Chan, R. J. Hewett, and T. Warburton, Weight-adjusted discontinuous Galerkin methods: curvilinear meshes, Preprint, 2016.

J. Chan, R. J. Hewett, and T. Warburton, Weight-adjusted discontinuous Galerkin methods: wave propagation in heterogeneous media, 2016.

M. Cicuttin, D. A. Di-pietro, and A. Ern, Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01429292

D. A. Di-pietro and J. Droniou, A Hybrid High-Order method for Leray???Lions elliptic equations on general meshes, Mathematics of Computation, vol.86, issue.307, pp.2159-2191, 2017.
DOI : 10.1090/mcom/3180
URL : https://hal.archives-ouvertes.fr/hal-01183484

D. A. Di-pietro and J. Droniou, Ws,p-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, vol.9, issue.05, pp.27879-908, 2017.
DOI : 10.1007/PL00005470

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, and S. Lemaire, Abstract, Computational Methods in Applied Mathematics, vol.14, issue.4, pp.461-472, 2017.
DOI : 10.1515/cmam-2014-0018
URL : https://hal.archives-ouvertes.fr/hal-00318390

D. A. Di-pietro and R. Tittarelli, Lectures from the fall 2016 thematic quarter at Institut Henri Poincaré, chapter An introduction to Hybrid High-Order methods Accepted for publication, 2017.

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

K. J. Fidkowski, A hybridized discontinuous galerkin method on mapped deforming domains. Computers & Fluids, 13th USNCCM International Symposium of High-Order Methods for Computational Fluid Dynamics -A special issue dedicated to the 60th birthday of Professor, pp.80-91, 2016.
DOI : 10.1016/j.compfluid.2016.04.004

G. J. Gassner, F. Lörcher, C. Munz, and J. S. Hesthaven, Polymorphic nodal elements and their application in discontinuous Galerkin methods, Journal of Computational Physics, vol.228, issue.5, pp.1573-1590, 2009.
DOI : 10.1016/j.jcp.2008.11.012
URL : https://infoscience.epfl.ch/record/190411/files/JCP2282009.pdf

K. Gobbert and S. Yang, Numerical Demonstration of Finite Element Convergence for Lagrange Elements in COMSOL Multiphysics, Proceedings of the COMSOL Conference, 2008.

C. Gürkan, E. Sala-lardies, M. Kronbichler, and S. Fernández-méndez, eXtended Hybridizable Discontinous Galerkin (X-HDG) for Void Problems, Journal of Scientific Computing, vol.247, issue.8, pp.1313-1333, 2016.
DOI : 10.1016/j.jcp.2013.03.064

A. Jaust, J. Schütz, and M. Woopen, An HDG Method for Unsteady Compressible Flows, pp.267-274
DOI : 10.1007/978-3-319-19800-2_23

G. E. Karniadakis and S. Sherwin, Spectral/hp Element Methods for Computational Fluid Dynamics, Numerical Mathematics and Scientific Computation, 2005.
DOI : 10.1093/acprof:oso/9780198528692.001.0001

C. Michoski, J. Chan, L. Engvall, and J. A. Evans, Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method, Computer Methods in Applied Mechanics and Engineering, vol.305, pp.658-681, 2016.
DOI : 10.1016/j.cma.2016.02.015

C. Nguyen and J. Peraire, An Adaptive Shock-Capturing HDG Method for Compressible Flows, 20th AIAA Computational Fluid Dynamics Conference, 2011.
DOI : 10.1063/1.1699639

T. Toulorge, C. Geuzaine, J. Remacle, and J. Lambrechts, Robust untangling of curvilinear meshes, Journal of Computational Physics, vol.254, pp.8-26, 2013.
DOI : 10.1016/j.jcp.2013.07.022

T. Warburton, A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems, SIAM Journal on Scientific Computing, vol.35, issue.4, pp.1987-2012, 2013.
DOI : 10.1137/120899662

X. Zhang, A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems, Journal of Computational Physics, vol.308, pp.153-170, 2016.
DOI : 10.1016/j.jcp.2015.12.036

X. Zhang and S. Tan, A simple and accurate discontinuous Galerkin scheme for modeling scalar-wave propagation in media with curved interfaces, GEOPHYSICS, vol.80, issue.2, pp.83-89, 2015.
DOI : 10.1190/geo2014-0164.1