Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation, SIAM Journal on Numerical Analysis, vol.42, issue.6, pp.2320-2341, 2005. ,
DOI : 10.1137/S0036142903425112
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
A stopping criterion for the conjugate gradient algorithm in a finite element method framework, Numerische Mathematik, vol.97, issue.1, pp.1-24, 2004. ,
DOI : 10.1007/s00211-003-0500-y
Stopping Criteria for Adaptive Finite Element Solvers, SIAM Journal on Scientific Computing, vol.35, issue.3, pp.1537-1559, 2013. ,
DOI : 10.1137/120867421
Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems, GAMM-Mitteilungen, vol.36, issue.1, pp.102-129, 2013. ,
DOI : 10.1002/gamm.201310006
Stopping criteria for mixed finite element problems, Electron. Trans. Numer. Anal, vol.29, pp.178-192, 2007. ,
Stopping criteria for iterations in finite element methods, Numerische Mathematik, vol.15, issue.3, pp.381-410, 2005. ,
DOI : 10.1007/s00211-004-0568-z
Adaptive error control for multigrid finite element methods, Computing, pp.55-271, 1995. ,
Mixed and hybrid finite element methods, of Springer Series in Computational Mathematics, 1991. ,
DOI : 10.1007/978-1-4612-3172-1
Computable a posteriori error estimates in the finite element
method based on its local conservativity: improvements using local
minimization, ESAIM: Proceedings, vol.24, pp.77-96, 2008. ,
DOI : 10.1051/proc:2008031
Equilibrated error estimators for discontinuous Galerkin methods, Numerical Methods for Partial Differential Equations, vol.33, issue.23, pp.1236-1252, 2008. ,
DOI : 10.1002/num.20315
Mathematical aspects of discontinuous Galerkin methods, of Mathématiques & Applications (Berlin) [Mathematics & Applications ,
DOI : 10.1007/978-3-642-22980-0
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
Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids, Comptes Rendus Mathematique, vol.347, issue.7-8, pp.347-441, 2009. ,
DOI : 10.1016/j.crma.2009.01.017
Numerical behaviour of the modified gram-schmidt GMRES implementation, BIT Numerical Mathematics, vol.13, issue.89, pp.706-719, 1997. ,
DOI : 10.1007/BF02510248
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers, SIAM Journal on Scientific Computing, vol.32, issue.3, pp.1567-1590, 2010. ,
DOI : 10.1137/08073706X
A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.41, issue.6, pp.41-2374, 2003. ,
DOI : 10.1137/S0036142902405217
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
Goal-oriented error control of the iterative solution of finite element equations, Journal of Numerical Mathematics, vol.17, issue.2, pp.143-172, 2009. ,
DOI : 10.1515/JNUM.2009.009
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
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES, SIAM Journal on Matrix Analysis and Applications, vol.28, issue.1, pp.264-284, 2006. ,
DOI : 10.1137/050630416
An optimal Poincar?? inequality for convex domains, Archive for Rational Mechanics and Analysis, vol.5, issue.1, pp.286-292, 1960. ,
DOI : 10.1007/BF00252910
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
Numerical approximation of partial differential equations, of Springer Series in Computational Mathematics, 1994. ,
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error, Journal of Numerical Mathematics, vol.18, issue.4, pp.303-327, 2010. ,
DOI : 10.1515/jnum.2010.015
Variational methods in mathematics, science and engineering, 1977. ,
DOI : 10.1007/978-94-011-6450-4
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986. ,
DOI : 10.1137/0907058
Symmetric quadrature formulae for simplexes, Mathematics of Computation, vol.24, issue.109, pp.95-100, 1970. ,
DOI : 10.1090/S0025-5718-1970-0258283-6
Error Estimation in Preconditioned Conjugate Gradients, BIT Numerical Mathematics, vol.45, issue.4, pp.45-789, 2005. ,
DOI : 10.1007/s10543-005-0032-1
A review of a posteriori error estimation and adaptive mesh-refinement techniques, 1996. ,
A Posteriori Error Estimates for the Mortar Mixed Finite Element Method, SIAM Journal on Numerical Analysis, vol.43, issue.3, pp.1021-1042, 2005. ,
DOI : 10.1137/S0036142903431687