Mixed Finite Element Approximation of Reaction Front Propagation in Porous Media

Karam Allali; Siham Binna

Mixed Finite Element Approximation of Reaction Front Propagation in Porous Media

Karam Allali, Siham Binna

Abstract

Mixed nite element approximation of reaction front propagation model in porous media is presented. The model consists of system of reaction-diffusion equations coupled with the equations of motion under the Darcy law. The existence of solution for the semi-discrete problem is established. The stability of the fully-discrete problem is
analyzed. Optimal error estimates are proved for both semi-discrete and fully-discrete approximate schemes.

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