Analyse d'erreur a-posteriori pour quelques méthodes d'éléments finis mixtes pour le problème de transmission Stokes-Darcy : Discrétisations isotrope et anisotrope

摘要

In this thesis, we develop an a posteriori error analysis of a mixed finites elements methods for the coupling of fluid flow with porous media flow; The approach utilizes isotropic and anisotropic discretizations on the entire domain. The a posteriori error estimates are based on a suitable evaluation on the residual of the finite element solution.