Aplicación de Técnicas de Dualidad en Elementos Finitos

Abstract

Duality techniques are applied to solve a mixed Dirichlet-Neumann problem for the Laplacian operator on a poligonal domain in lR2. Displacement and stress variational principles are presented as the primal and dual problems, respectively. Two finite element models are proposed to solve each of the above problems. Based on both solutions an approximation to the problem solution is obtained as well as estimators to the discretization error. This error may be computed exactly in certain cases.