Approximation par éléments finis P1 des Equations aux Dérivées Partielles.

Abstract

In this dissertation, we explore the finite element method, our main aim being to grasp the fundamental principles of this technique and to master its use in solving certain secondorder linear partial differential equations, commonly encountered in the modeling of many natural phenomena. We'll start by reviewing the essential mathematical tools for this method in detail, then illustrate its application through two one-dimensional problems.