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
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
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
Versions of the Finite Element Method, Basic Principles and Properties, SIAM Review, vol.36, issue.4, pp.578-632, 1994. ,
DOI : 10.1137/1036141
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
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
Mixed and hybrid finite element methods, of Springer Series in Computational Mathematics, 1991. ,
DOI : 10.1007/978-1-4612-3172-1
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
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
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
Polynomial extension operators, Part III, Math. Comp, vol.81, pp.1289-1326, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00163158
Computing with hp-adaptive finite elements Oneand two-dimensional elliptic and Maxwell problems, Applied Mathematics and Nonlinear Science Series, 2007. ,
Computing with hp-adaptive finite elements II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications, Applied Mathematics and Nonlinear Science Series, 2008. ,
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
[18] V. Dolej?í and P. ? Solín, hp-discontinuous Galerkin method based on local higher order reconstruction, of Mathématiques & Applications, pp.279-219, 2011. ,
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
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
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
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
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
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
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
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
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
-A posteriori Error Estimation, SIAM Journal on Numerical Analysis, vol.43, issue.1, pp.127-155, 2005. ,
DOI : 10.1137/S0036142903432930
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
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
A comparison of hp-adaptive strategies for elliptic partial differential equations, ACM Trans. Math. Software, issue.2, pp.41-80, 2014. ,
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
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
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
A posteriori estimates for partial differential equations, of Radon Series on Computational and Applied Mathematics, 2008. ,
DOI : 10.1515/9783110203042
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
[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. ,
Segeth, and I. Dole?el, Higher-order finite element methods, Studies in Advanced Mathematics, 2004. ,
hp-finite element methods for hyperbolic problems, in The mathematics of finite elements and applications, X, MAFELAP, pp.143-162, 1999. ,
Poincare constants for finite element stars, IMA Journal of Numerical Analysis, vol.32, issue.1, pp.30-47, 2012. ,
DOI : 10.1093/imanum/drr011
A posteriori error estimation techniques for finite element methods, Numerical Mathematics and Scientific Computation ,
DOI : 10.1093/acprof:oso/9780199679423.001.0001
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