Mixed Finite Element Method and numerical analysis of a convection-diffusion-reaction model in a porous medium
Numerical Analysis
2020-06-05 v1 Numerical Analysis
Abstract
A hydrogeological model for the spread of pollution in an aquifer is considered. The model consists in a convection-diffusion-reaction equation involving the dispersion tensor which depends nonlinearly of the fluid velocity. We introduce an explicit flux in the model and use a mixed Finite Element Method for the discretization. We provide existence, uniqueness and stability results for the discrete model. A convergence result is obtained for the semi-discretized in time problem and for the fully discretization.
Keywords
Cite
@article{arxiv.2006.02502,
title = {Mixed Finite Element Method and numerical analysis of a convection-diffusion-reaction model in a porous medium},
author = {Éloïse Comte},
journal= {arXiv preprint arXiv:2006.02502},
year = {2020}
}