Journals Information
Universal Journal of Applied Mathematics Vol. 2(1), pp. 50 - 62
DOI: 10.13189/ujam.2014.020109
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Star-based a Posteriori Error Estimator for Convection Diffusion Problems
B. Achchab 1, A. Agouzal 2,*, N. Debit 2, K. Bouihat 1
1 Universite Hassan 1er, LM2CE et LAMSAD, FSEJSS et ESTB, B.P 218 Berrechid, Morocco
2 Universite de Lyon; CNRS ; Universit e Lyon 1 ; Institut Camille Jordan, B^atiment Jean Braconnier 21, Avenue Claude Bernard 69622 Villeurbanne cedex,France
ABSTRACT
In this paper, we derive an a posteriori error estimator, for nonconform- ing _nite element approximation of convection-diffusion equation. The a posteriori error estimator is based on the local problems on stars. Finally, we prove the reliability and the efficiency of the estimator without saturation assumption nor comparison with residual estimator
KEYWORDS
A posteriori error estimator, nonconforming finite elements method, convection diffusion equations
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] B. Achchab , A. Agouzal , N. Debit , K. Bouihat , "Star-based a Posteriori Error Estimator for Convection Diffusion Problems," Universal Journal of Applied Mathematics, Vol. 2, No. 1, pp. 50 - 62, 2014. DOI: 10.13189/ujam.2014.020109.
(b). APA Format:
B. Achchab , A. Agouzal , N. Debit , K. Bouihat (2014). Star-based a Posteriori Error Estimator for Convection Diffusion Problems. Universal Journal of Applied Mathematics, 2(1), 50 - 62. DOI: 10.13189/ujam.2014.020109.