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Error estimate for convection problem with characteristics method |
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| Authors: | J. Baranger D. Esslaoui A. Machmoum |
| Affiliation: | (1) Equipe d'Analyse Numérique, CNRS UMR 5585, Université, Lyon 1, 43, Bd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France;(2) Laboratoire SIANO, Faculté des Sciences, Université Ibn-Tofial, B.P. 133, Kenitra, Morocco;(3) Equipe de Modélisation, Equations aux Dérivées Partielles et Analyse Numérique, Université Hassan 2, Faculté des Sciences et Techniques, B.P. 146, 20650 Mohammedia |
| Abstract: | We consider the numerical approximation of a first order steady-state convective problem by the method of characteristics with pseudo-time step k and P r discontinuous finite elements on a mesh T h. We show, when the entry flow field is Ω filling and under a technical hypothesis, the existence and the uniqueness for the continuous and the discrete variational problems (Pk) and P( h k ) and we give an error estimate. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | convective problem characteristics method finite element |
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