Proper Generalized Decomposition (PGD) applied to heat conduction prob- lem in heterogeneous materials

Resumo

In order to reduce processing time in complex simulations, several order reduction methods have been
developed. One of these methods is the Proper Generalized Decomposition (PGD). The PGD method is based

on the decomposition of unknown fields in each of the coordinates. PGD is used to solve sequences of one-
dimensional problems of the finite element method. Throughout the iterations, the spatial variables are separated

via the PGD method, resulting in an iterative sequence of global solutions, even in a linear problem. The present
work aims to evaluate the PGD method in heat conduction problems using heterogeneous materials.