Aspectos computacionales para la simulación tridimensional en electromagnetismo con el método de elementos finitos

Abstract

Based on our experience in devclopmcnt and implcmcntation in a 2-0 code of scveral algorithms regarding the applications of adaptive finite clcmcnt mcthod [ 1]. [2], we consider to extend thcse ideas to 3-0. In this direction. we present in this paper the first results obtaincd by our 3-0 codc. We put the stress on our contributions in thc 3-0 mesh gcneration, using a modificd version of thc Watson algorithm to construct the Delaunay triangulation [3], and in thc resolution of thc systcm of equations associated to the finite element method [4] and [5]. At present, we introduce in this work several ideas and applications, relative to the solution of the 3-D Poisson Equation, which prove the efficiency of our code. This is applied to analyse a transmission line in a multilyered dielectric media. Finally, sorne ideas for future research are mentioned.