THE LOCAL FORMULATION FOR THE MODIFIED GREEN´S FUNCTION METHOD

Authors

  • RENATO BARBIERI UDESC
  • ROBERTO DALLEDONE MACHADO

Keywords:

MGFM, MLGFM, MGGFM, LOCAL FORMULATION, ACCURATE FLUXES

Abstract

THE MODIFIED GLOBAL GREEN'S FUNCTION METHOD (MGGFM) IS AN INTEGRAL TECHNIQUE THAT IS CHARACTERIZED BY EXCELLENT ACCURACY IN THE EVALUATION OF THE BOUNDARY FLUXES. THIS METHOD USES ONLY PROJECTIONS OF THE GREEN'S FUNCTION FOR THE SOLUTION OF THE DISCRETE PROBLEM AND THIS IS THE ORIGIN OF THE TERM 'MODIFIED' OF ITS NAME. IN THIS PAPER THE LOCAL STRATEGY FOR CALCULATING THE PROJECTIONS OF GREEN'S FUNCTION USING DE FINITE ELEMENT METHOD (FEM) ARE DETAILED. THE NUMERICAL EXAMPLES SHOW SOME ASPECTS OF THE METHOD THAT HAD NOT YET BEEN OBSERVED AND EXCELLENT RESULTS FOR THE FLUX IN ALL NODES OF THE MESH.

Downloads

Published

2015-02-07

Issue

Section

Special issue to Prof. Barcellos