Construção de um Pré-Condicionador Usando Bases Hierárquicas

Abstract

The solution of very large scale problems requires specialized methods. The most recent tool is the parallel processing. This tool is used together with the substructuring technique, which consists in splitting the domain of the problem, generating a coarse mesh. The coarse mesh is assembled into a system of equations named the reduced system. This system is solved by using the pre-conditioned conjugate gradient. This work is devoted to the construction of a pre-conditioner resulting from the modification of the shape functions on the contours of the substructures into hierarchical basis functions.