References
- Ainsworth , M. and Oden , J. T. 1993 . A unified approach to a posteriori error estimation using element residual methods . Mathematics of Computation , 65 : 25 – 30 .
- Babuska , I. and Rheinhold , W. C. 1978 . Error estimates for adaptive finite element computations . SIAM Journal on Numererical Analysis , 18 : 736 – 754 .
- Bank , R. E. and Weiser , A. 1985 . Some a posteriori error estimators for elliptic partial differential equations . Mathematics of Computation , 44 : 283 – 301 .
- Bonet , J. , Huerta , A. and Peraire , J. 2002 . The efficient computation of bounds for functionals of finite element solutions in large strain elasticity . Computer Methods in Applied Mechanics and Engineering , 191 : 4807 – 4826 .
- Cartensen , C. and Funken , S. A. 1999 . Fully reliable localised error control in FEM . SIAM Journal on Scientific Computing , 21 ( 4 ) : 1465 – 1484 . 2000
- Díez , P. , Parés , N. and Huerta , A. 2003 . Recovering lower bounds of the error postprocessing implicit residual a posteriori error estimates . International Journal for Numerical Methods in Engineering , 56 : 1465 – 1488 .
- Huerta , A. and Díez , P. 2000 . Error Estimation Including Pollution Assessment for Nonlinear Finite Element Analysis . Computer Methods in Applied Mechanics and Engineering , 181 : 21 – 41 .
- Machiels , L. , Maday , Y. and Patera , A. T. 2000 . A “Flux-Free” Nodal Neumann Subproblem Approach to Output Bounds for Partial Differential Equations . C. R. Acad. Sci. Paris, Série I , 330 ( 3 ) : 249 – 254 .
- Morin , P. , Nochetto , R. and Siebert , K. 2003 . Local problems on stars: a posteriori error estimators, convergence and performance . Mathematics of Computation , 72 : 1067 – 1097 .
- Paraschivoiu , M. , Peraire , J. and Patera , A. T. 1997 . A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations . Computer Methods in Applied Mechanics and Engineering , 150 : 289 – 312 .
- Prudhomme , S. and Oden , J. T. 1999 . On Goal-Oriented Error Estimation for Elliptic Problems: Application to the Control of Pointwise Errors . Computer Methods in Applied Mechanics and Engineering , 176 : 313 – 331 .
- Prudhomme , S. , Nobile , F. , Chamoin , L. and Oden , J. T. 2002 . Analysis of a subdomainbased error estimator for finite element approximations of elliptic problems , TICAM . internal report, num. 34