Método de Elementos Finitos hp con Adaptabilidad Automática Orientada a un Objetivo para Problemas Abiertos en 2D

Abstract

In this paper, we describe a fully automatic goaloriented hp-adaptive Finite Element strategy, which is applied to open problems (radiation and scattering). The methodology produces exponential convergence rates in terms of an upper bound of an user-prescribed quantity of interest (in our case, the S-parameter, the far radiated field or far scattering field) against the problem size (number of degrees of freedom). We illustrate the efficiency of the method with 2D numerical simulations of open problems (radiation and scattering). Applications include the far scattering (radiated) field by an object (antenna) and the computation of mutual coupling of the antennas (S-parameters). Results show that self-adaptive goal-oriented hp obtains more accuracy in the quantity of interest than self-adaptive energynorm hp with the same number of degrees of freedom.