The h-p version of finite element method, part 1: The basic approximation results, Comp. Mech, pp.21-41, 1986. ,
Saturation estimates for hp-finite element methods, Computing and Visualization in Science, vol.7, issue.2, pp.195-217, 2013. ,
DOI : 10.1093/acprof:oso/9780199679423.001.0001
Instance optimality for hp-type approximation, Tree approximation for hp-adaptivity, IMI Preprint Series, pp.14-16, 2013. ,
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
Convergence of an adaptive hp finite element strategy in higher space-dimensions, Applied Numerical Mathematics, vol.61, issue.11, pp.1132-1146, 2011. ,
DOI : 10.1016/j.apnum.2011.07.008
Convergence and optimality of hp-AFEM, Numer. Math, pp.1-47, 2016. ,
Axioms of adaptivity, Computers & Mathematics with Applications, vol.67, issue.6, pp.1195-1253, 2014. ,
DOI : 10.1016/j.camwa.2013.12.003
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method, SIAM Journal on Numerical Analysis, vol.46, issue.5, pp.2524-2550, 2008. ,
DOI : 10.1137/07069047X
Quasioptimal cardinality of AFEM driven by nonresidual estimators, IMA Journal of Numerical Analysis, vol.32, issue.1, pp.1-29, 2012. ,
DOI : 10.1093/imanum/drr014
A fully automatic hp-adaptivity, Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01) (Uppsala), pp.117-142, 2002. ,
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
URL : http://www.ams.org/mcom/1999-68-228/S0025-5718-99-01093-5/S0025-5718-99-01093-5.pdf
$hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems, SIAM Journal on Scientific Computing, vol.38, issue.5, pp.3220-3246, 2016. ,
DOI : 10.1137/15M1026687
A Convergent Adaptive Algorithm for Poisson???s Equation, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.1106-1124, 1996. ,
DOI : 10.1137/0733054
Convergence of an adaptive hp finite element strategy in one space dimension, Applied Numerical Mathematics, vol.57, issue.10, pp.1108-1124, 2007. ,
DOI : 10.1016/j.apnum.2006.10.003
An adaptive strategy for hp-FEM based on testing for analyticity, Computational Mechanics, vol.190, issue.1???4, pp.575-595, 2007. ,
DOI : 10.1007/978-1-4612-4248-2_17
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
Theh, p andh-p versions of the finite element method in 1 dimension, Numerische Mathematik, vol.36, issue.6, pp.613-657, 1986. ,
DOI : 10.1007/BF01389734
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
Decay rates of adaptive finite elements with D??rfler marking, Numerische Mathematik, vol.24, issue.3, pp.679-716, 2011. ,
DOI : 10.1002/nme.1620240206
A comparison of hp-adaptive strategies for elliptic partial differential equations, ACM Trans. Math. Software, issue.2, pp.41-80, 2014. ,
Convergence of adaptive finite element methods, SIAM Rev Revised reprint of " Data oscillation and convergence of adaptive FEM, [SIAM J. Numer. Anal, vol.44, issue.38 2, pp.631-658, 2000. ,
Theory of adaptive finite element methods: An introduction, Multiscale, nonlinear and adaptive approximation, pp.409-542, 2009. ,
DOI : 10.1007/978-3-642-03413-8_12
Automatic generation of triangulations for piecewise polynomial approximation, Pro- Quest LLC, Thesis (Ph.D.)?Purdue University, 1972. ,
Optimality of a standard adaptive finite element method, Found, Comput. Math, vol.7, pp.245-269, 2007. ,
hp-finite element methods for hyperbolic problems, in The mathematics of finite elements and applications, X, MAFELAP, pp.143-162, 1999. ,