El mètode dels elements finits

Abstract

[en] The finite element method (FEM) is one of the most widely used tools for solving different problems governed by partial differential equations (PDE’s). In this work we study the theoretical basis on which the FEM is based and we deal with two general problems: elliptic and parabolic. The main numerical and computational methods used to implement the FEM are also explained. Finally we apply the method in the one-dimensional and two-dimensional case. In the one-dimensional case we solve two examples by programming code in MATLAB language. In the two-dimensional case we solve an example using the FEATool Multiphysics software.