Geodesic
A Posteriori Error Estimates on Stars for Convection Diffusion Problem
B. Achchab1 ; A. Agouzal2 ; K. Bouihat1
1 LM2CE, ESTB and FSJES, Hassan 1st University, B.P. 218, Berrechid, Morocco
2 University Lyon1, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 67-72.

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In this paper, a new a posteriori error estimator for nonconforming convection diffusion approximation problem, which relies on the small discrete problems solution in stars, has been established. It is equivalent to the energy error up to data oscillation without any saturation assumption nor comparison with residual estimator
DOI : 10.1051/mmnp/20105711

B. Achchab 1 ; A. Agouzal 2 ; K. Bouihat 1

1 LM2CE, ESTB and FSJES, Hassan 1st University, B.P. 218, Berrechid, Morocco
2 University Lyon1, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France 
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B. Achchab; A. Agouzal; K. Bouihat. A Posteriori Error Estimates on Stars for Convection Diffusion Problem. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 67-72. doi : 10.1051/mmnp/20105711. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105711/

[1] B. Achchab, A. Agouzal, A. El Fatini, A. Souissi. Robust hierarchical a posteriori error estimates for stabilized convection-diffusion problem. Numer. Meth. Part. Diff. Equats., to appear.

[2] A. Agouzal A posteriori error estimator for nonconforming finite element methods Appl. Math. Lett. 1994 61 66

[3] M. Ainsworth, I. Babuska Reliable and robust a posteriori error estimating for singularly perturbed reaction-diffusion problems SIAM J. Numer. Anal. 1999 331 353

[4] R.E. Bank, A. Weiser Some a posteriori error estimators for elliptic partial differential equations Math. Comp. 1985 283 301

[5] E. Dari, R. Durán, C. Padra Error estimators for nonconforming finite element approximations of the Stokes problem Math. Comput. 1995 1017 1033

[6] P. Morin, R.H. Nochetto, K.G. Siebert Local problems on stars: a posteriori error estimators, convergence and performance Math. Comp. 2003 1067 1097

[7] R.H. Nochetto Removing the saturation assumption in a posteriori error analysis Istit. Lombardo. Sci. Lett. Rend. A. 1993 67 82

[8] R. Verfürth Robust a posteriori error estimates for stationary convection-diffusion equations SIAM J. Numer. Anal. 2005 1766 1782

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