, A-posteriori error estimates for the finite element method, International Journal for Numerical Methods in Engineering, vol.15, issue.10, pp.1597-1615, 1978.
DOI : 10.1002/nme.1620121010
, 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 simple error estimator and adaptive procedure for practical engineerng analysis, International Journal for Numerical Methods in Engineering, vol.7, issue.18, pp.337-357, 1987.
DOI : 10.1016/B978-0-12-747255-3.50049-6
, The post-processing approach in the finite element method???Part 2: The calculation of stress intensity factors, International Journal for Numerical Methods in Engineering, vol.9, issue.6, pp.1111-1129, 1982.
DOI : 10.1002/nme.1620200611
, Procedures for residual equilibration and local error estimation in the finite element method, Communications in Applied Numerical Methods, vol.19, issue.18, pp.497-505, 1989.
DOI : 10.1002/cnm.1630050803
, A feed-back approach to error control in finite element methods: application to linear elasticity, Computational Mechanics, vol.19, issue.5, pp.434-446, 1997.
DOI : 10.1007/s004660050191
, Bounds for Linear???Functional Outputs of Coercive Partial Differential Equations : Local Indicators and Adaptive Refinement, Advances in Adaptive Computational Methods, pp.199-216, 1998.
DOI : 10.1016/S0922-5382(98)80011-1
, On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.313-331, 1999.
DOI : 10.1016/S0045-7825(98)00343-0
, Local error estimators for finite element linear analysis, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.231-246, 1999.
DOI : 10.1016/S0045-7825(98)00339-9
, Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems, International Journal for Numerical Methods in Engineering, vol.4, issue.7, pp.727-746, 2001.
DOI : 10.1090/S0025-5718-1985-0777265-X
, Practical methods fora posteriori error estimation in engineering applications, International Journal for Numerical Methods in Engineering, vol.47, issue.8, pp.1193-1224, 2003.
DOI : 10.1002/9781118032824
, Error estimation of stress intensity factors for mixed-mode cracks, International Journal for Numerical Methods in Engineering, vol.12, issue.3, pp.299-316, 2006.
DOI : 10.1115/1.3629665
URL : https://hal.archives-ouvertes.fr/hal-00109713
, ERROR ESTIMATION AND MESH OPTIMIZATION FOR CLASSICAL FINITE ELEMENTS, Engineering Computations, vol.8, issue.1, pp.69-80, 1991.
DOI : 10.1002/nme.1620240206
, A 'flux-free' nodal Neumann subproblem approach to output bounds for partial differential equations. Comptes Rendus de l, Académie des Sciences, Série I, vol.330, issue.3, pp.249-254, 2000.
, A Posteriori Error Estimation in Finite Element Analysis, 2000.
, A Local A Posteriori Error Estimator Based on Equilibrated Fluxes, SIAM Journal on Numerical Analysis, vol.42, issue.4, pp.1394-1414, 2004.
DOI : 10.1137/S0036142903433790
URL : https://hal.archives-ouvertes.fr/inria-00343040
, Subdomain-based flux-free a posteriori error estimators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.4-6, pp.4-6297, 2006.
DOI : 10.1016/j.cma.2004.06.047
, An a posteriori error estimator for the Lame equation based on equilibrated fluxes, IMA Journal of Numerical Analysis, vol.28, issue.2, pp.331-353, 2008.
DOI : 10.1093/imanum/drm008
, An enhanced error estimator on the constitutive relation for plasticity problems, Computers & Structures, vol.78, issue.6, pp.801-810, 2000.
DOI : 10.1016/S0045-7949(00)00056-0
URL : https://hal.archives-ouvertes.fr/hal-01689614
, Evaluation of the local quality of stresses in 3D finite element analysis, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.39-40, pp.18-191751, 2002.
DOI : 10.1016/S0045-7825(02)00389-4
URL : https://hal.archives-ouvertes.fr/hal-01689638
, Approximations in elasticity based on the concept of function space, Quarterly of Applied Mathematics, vol.5, issue.3, pp.261-269, 1947.
DOI : 10.1090/qam/25902
, The Finite Element Methods and Its Reliability, 2001.
, Local problems on stars: A posteriori error estimators, convergence, and performance, Mathematics of Computation, vol.72, issue.243, pp.1067-1097, 2003.
DOI : 10.1090/S0025-5718-02-01463-1
URL : http://www.ams.org/journals/mcom/2003-72-243/S0025-5718-02-01463-1/S0025-5718-02-01463-1.pdf
, Adaptive computations of a posteriori finite element output bounds: a comparison of the ???hybrid-flux??? approach and the ???flux-free??? approach, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.36-38, pp.36-384001, 2004.
DOI : 10.1016/j.cma.2004.02.012
, A posteriori estimation and adaptative control of the error in the quantity of interest. Part 1: a posteriori estimation of the error in the von Mises stress and the stress intensity factor, Computer Methods in Applied Mechanics and Engineering, vol.180, pp.261-274, 2000.
, An optimal control approach to a posteriori error estimation in finite element methods, Acta Numerica, vol.10, pp.1-102, 2001.
DOI : 10.1017/S0962492901000010
, On adaptive strategies and error control in fracture mechanics, Computers & Structures, vol.82, issue.6, pp.485-497, 2004.
DOI : 10.1016/j.compstruc.2003.10.013
URL : http://www.phi.chalmers.se/pub/preprints/ps/phiprint-2002-14.ps
, Goal-oriented a posteriori error estimates in linear elastic fracture mechanics, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.4-6, pp.251-278, 2006.
DOI : 10.1016/j.cma.2004.05.032
, Evaluation of the local quality of the von mises's stress and l2-norm of the stress, Engineering Computations, vol.23, pp.7-8876, 2006.
, Bounds for Linear???Functional Outputs of Coercive Partial Differential Equations : Local Indicators and Adaptive Refinement, Studies in Applied Mechanics, vol.47, pp.199-216, 1998.
DOI : 10.1016/S0922-5382(98)80011-1