S. Adjerid, M. Aiffa, and J. E. Flaherty, Computational methods for singularly perturbed systems, Proc. Sympos. Appl. Math., Amer. Math. Soc, vol.56, pp.47-83, 1998.
DOI : 10.1090/psapm/056/1718897

M. Ainsworth and R. Rankin, Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes, SIAM Journal on Numerical Analysis, vol.47, issue.6, pp.47-4112, 2010.
DOI : 10.1137/080725945

I. Babu?ka and M. Suri, The $h-p$ version of the finite element method with quasiuniform meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.21, issue.2, pp.199-238, 1987.
DOI : 10.1051/m2an/1987210201991

I. Babu?ka and M. Suri, Versions of the Finite Element Method, Basic Principles and Properties, SIAM Review, vol.36, issue.4, pp.578-632, 1994.
DOI : 10.1137/1036141

D. Braess, V. Pillwein, and J. Schöberl, Equilibrated residual error estimates are p-robust, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.13-14, pp.1189-1197, 2009.
DOI : 10.1016/j.cma.2008.12.010

S. C. Brenner, Functions, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.306-324, 2003.
DOI : 10.1137/S0036142902401311

URL : https://hal.archives-ouvertes.fr/hal-01093487

F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, of Springer Series in Computational Mathematics, 1991.
DOI : 10.1007/978-1-4612-3172-1

C. Carstensen and C. Merdon, Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem, Journal of Computational and Applied Mathematics, vol.249, pp.74-94, 2013.
DOI : 10.1016/j.cam.2012.12.021

P. Ciarlet, J. , and M. Vohralík, Robust a posteriori error control for transmission problems with sign changing coefficients using localization of dual norms, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01148476

M. Costabel and A. Mcintosh, On Bogovski?? and regularized Poincar?? integral operators for de Rham complexes on Lipschitz domains, Mathematische Zeitschrift, vol.254, issue.6, pp.297-320, 2010.
DOI : 10.1007/s00209-009-0517-8

L. Demkowicz, J. Gopalakrishnan, and J. Schöberl, Polynomial extension operators, Part III, Math. Comp, vol.81, pp.1289-1326, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00163158

L. F. Demkowicz, Computing with hp-adaptive finite elements Oneand two-dimensional elliptic and Maxwell problems, Applied Mathematics and Nonlinear Science Series, 2007.

L. F. Demkowicz, J. Kurtz, D. Pardo, M. Paszy´nskipaszy´nski, W. Rachowicz et al., Computing with hp-adaptive finite elements II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications, Applied Mathematics and Nonlinear Science Series, 2008.

P. Destuynder and B. Métivet, Explicit error bounds in a conforming finite element method, Mathematics of Computation, vol.68, issue.228, pp.1379-1396, 1999.
DOI : 10.1090/S0025-5718-99-01093-5

D. A. Di-pietro and A. Ern, [18] V. Dolej?í and P. ? Solín, hp-discontinuous Galerkin method based on local higher order reconstruction, of Mathématiques & Applications, pp.279-219, 2011.

T. Eibner and J. M. Melenk, An adaptive strategy for hp-FEM based on testing for analyticity, Computational Mechanics, vol.190, issue.1???4, pp.575-595, 2007.
DOI : 10.1007/s00466-006-0107-0

A. Ern, A. F. Stephansen, and M. Vohralík, Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection???diffusion???reaction problems, Journal of Computational and Applied Mathematics, vol.234, issue.1, pp.114-130, 2010.
DOI : 10.1016/j.cam.2009.12.009

URL : https://hal.archives-ouvertes.fr/hal-00193540

A. Ern and M. Vohralík, Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations, SIAM Journal on Numerical Analysis, vol.53, issue.2, pp.1058-1081, 2015.
DOI : 10.1137/130950100

URL : https://hal.archives-ouvertes.fr/hal-00921583

T. Fankhauser, T. P. Wihler, and M. Wirz, The -adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements, Computers & Mathematics with Applications, vol.67, issue.4, pp.854-868, 2014.
DOI : 10.1016/j.camwa.2013.05.024

W. Gui and I. Babu?ka, Theh, p andh-p versions of the finite element method in 1 dimension, Numerische Mathematik, vol.44, issue.6, pp.659-683, 1986.
DOI : 10.1007/BF01389735

P. Houston, D. Schötzau, and T. P. Wihler, ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.01, pp.33-62, 2007.
DOI : 10.1142/S0218202507001826

P. Houston and E. Süli, A note on the design of hp-adaptive finite element methods for elliptic partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.2-5, pp.229-243, 2005.
DOI : 10.1016/j.cma.2004.04.009

K. Kim, A posteriori error analysis for locally conservative mixed methods, Mathematics of Computation, vol.76, issue.257, pp.43-66, 2007.
DOI : 10.1090/S0025-5718-06-01903-X

P. Ladevèze and D. Leguillon, Error Estimate Procedure in the Finite Element Method and Applications, SIAM Journal on Numerical Analysis, vol.20, issue.3, pp.485-509, 1983.
DOI : 10.1137/0720033

J. M. Melenk, -A posteriori Error Estimation, SIAM Journal on Numerical Analysis, vol.43, issue.1, pp.127-155, 2005.
DOI : 10.1137/S0036142903432930

J. M. Melenk and B. I. Wohlmuth, On residual-based a posteriori error estimation in hp-FEM A posteriori error estimation and adaptive computational methods, Advances in Computational Mathematics, vol.15, issue.1/4, pp.311-331, 2001.
DOI : 10.1023/A:1014268310921

W. F. Mitchell, A collection of 2D elliptic problems for testing adaptive grid refinement algorithms, Applied Mathematics and Computation, vol.220, pp.350-364, 2013.
DOI : 10.1016/j.amc.2013.05.068

W. F. Mitchell and M. A. Mcclain, A comparison of hp-adaptive strategies for elliptic partial differential equations, ACM Trans. Math. Software, issue.2, pp.41-80, 2014.

S. Nicaise, A posteriori error estimations of some cell-centered finite volume methods, SIAM Journal on Numerical Analysis, vol.43, issue.4, pp.1481-1503, 2005.
DOI : 10.1137/S0036142903437787

G. V. Pencheva, M. Vohralík, M. F. Wheeler, and T. Wildey, Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling, SIAM Journal on Numerical Analysis, vol.51, issue.1, pp.526-554, 2013.
DOI : 10.1137/110839047

URL : https://hal.archives-ouvertes.fr/hal-00467738

W. Prager and J. L. Synge, Approximations in elasticity based on the concept of function space, Quarterly of Applied Mathematics, vol.5, issue.3, pp.241-269, 1947.
DOI : 10.1090/qam/25902

S. I. Repin, A posteriori estimates for partial differential equations, of Radon Series on Computational and Applied Mathematics, 2008.
DOI : 10.1515/9783110203042

J. E. Roberts and J. Thomas, Mixed and hybrid methods, Handbook of Numerical Analysis, pp.523-639, 1991.
DOI : 10.1016/S1570-8659(05)80041-9

URL : https://hal.archives-ouvertes.fr/inria-00075815

C. Schwab, [38] P. ? Solín, Partial differential equations and the finite element method [39] P. ? Solín and L. Demkowicz, Goal-oriented hp-adaptivity for elliptic problems, Pure and Applied Mathematics Comput. Methods Appl. Mech. Engrg, pp.193-449, 1998.

P. Solín and K. , Segeth, and I. Dole?el, Higher-order finite element methods, Studies in Advanced Mathematics, 2004.

E. Süli, P. Houston, and C. Schwab, hp-finite element methods for hyperbolic problems, in The mathematics of finite elements and applications, X, MAFELAP, pp.143-162, 1999.

A. Veeser and R. Verfürth, Poincare constants for finite element stars, IMA Journal of Numerical Analysis, vol.32, issue.1, pp.30-47, 2012.
DOI : 10.1093/imanum/drr011

R. Verfürth, A posteriori error estimation techniques for finite element methods, Numerical Mathematics and Scientific Computation
DOI : 10.1093/acprof:oso/9780199679423.001.0001

M. Vohralík, Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods, Mathematics of Computation, vol.79, issue.272, pp.2001-2032, 2010.
DOI : 10.1090/S0025-5718-2010-02375-0