Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem

In this article, we consider the convection-diffusion-reaction problem coupled Darcy-Forchheimer by a non-linear external force depending on concentration. We establish existence of solution using Galerkin method and prove uniqueness. introduce analyse numerical scheme based finite element method. An optimal priori error estimate is then derived for each scheme. Numerical investigation are performed to confirm theoretical accuracy discretization.