In this work we develop the a priori and a posteriori error analyses of a mixed finite element
method for Darcy's equations with porosity depending exponentially on the pressure. A …

This work aims to introduce and analyze an adaptive stabilized finite element method to
solve a nonlinear Darcy equation with a pressure-dependent viscosity and mixed boundary …

We consider the non stationary flow of a viscous incompressible fluid in a rigid
homogeneous porous medium provided with mixed boundary conditions. Since the …

In this thesis, we have proposed and analysed PDE-based fluid models such as Navier-
Stokes, Oseen and nonlinear Darcy. We have proved their solvability using the classical …

On considère le couplage de l'équation de Darcy avec l'équation de convection-diffusion-
réaction instationnaire. On présente deux formulations variationnelles continues. On s' …

Dans cette thèse, nous étudions l'équation de la chaleur couplée avec la loi de Darcy à
travers de la viscosité non-linéaire qui dépend de la température pour les dimensions d= 2 …

We propose and analyze an augmented mixed formulation for the time-dependent Brinkman–
Forchheimer equations written in terms of vorticity, velocity and pressure. The weak …

In many fields of scientific computing, the equations are well known but the coefficients are
usually empirical functions which depend on some parameters difficult the evaluate exactly …

This dissertation aims at gathering some contributions of my research activity devoted to the
development and implementation of mathematical and High Performance Computing (HPC) …

This thesis aims to show that the numerical simulation of heat and mass transfer in porous
media can be effectively treated by a numerical program which is based on a space …