Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 1(2), pp. 24 - 46
DOI: 10.13189/ujcmj.2013.010202
Reprint (PDF) (188Kb)

A Space-Time Finite Element Approximation of a Two-Step Chemical Kinetics Model

Abdellatif Agouzal¹, Karam Allali^2,*
1 Department of Mathematics, Institut Camille Jordan, University Lyon I, 43 Bd 11 November, 69100 Villeurbanne, France
² Department of Mathematics, Faculty of Sciences and Technologies, University Hassan II, Po.Box 146, Mohammedia, Morocco

ABSTRACT

In this paper we suggest a fully discretized problem of a model describing two-step chemical kinetics. The model considered is a system of equations coupling Navier-Stokes equations with three non-linear reaction-diffusion equations. A space-time finite elements approximations are presented. The stability of the fully discretized problem is studied. Optimal error estimates are given.

KEYWORDS
A priori error estimates, Boussinesq approximation, Chemical kinetics, Mixed finite elements

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Abdellatif Agouzal , Karam Allali , "A Space-Time Finite Element Approximation of a Two-Step Chemical Kinetics Model," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 1, No. 2, pp. 24 - 46, 2013. DOI: 10.13189/ujcmj.2013.010202.

(b). APA Format:
Abdellatif Agouzal , Karam Allali (2013). A Space-Time Finite Element Approximation of a Two-Step Chemical Kinetics Model. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 1(2), 24 - 46. DOI: 10.13189/ujcmj.2013.010202.