(EDP Sciences, 2006) Rapún Araiz, María Luisa; Sayas, Francisco Javier; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza; Gobierno de Navarra / Nafarroako Gobernua, 18/2005
This paper proposes and analyzes a BEM-FEM scheme to approximate a time-harmonic
diffusion problem in the plane with non-constant coefficients in a bounded area. The model is set as
a Helmholtz transmission problem with adsorption and with non-constant coefficients in a bounded
domain. We reformulate the problem as a four-field system. For the temperature and the heat flux
we use piecewise constant functions and lowest order Raviart-Thomas elements associated to a triangulation
approximating the bounded domain. For the boundary unknowns we take spaces of periodic
splines. We show how to transmit information from the approximate boundary to the exact one in
an efficient way and prove well-posedness of the Galerkin method. Error estimates are provided and
experimentally corroborated at the end of the work.
