A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media
Fecha
2006Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Impacto
|
10.1051/m2an:2006033
Resumen
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 consta ...
[++]
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. [--]
Materias
Scattering of thermal waves,
Non-hommogeneous media,
Helmholtz transmission problem,
BEM-FEM coupling
Editor
EDP Sciences
Publicado en
ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 40, No 5, 2006
Departamento
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Versión del editor
Entidades Financiadoras
The authors are partially supported by MEC/FEDER Project MTM2004-01905, Gobierno de Aragón (Grupo Consolidado PDIE) and by Gobierno de Navarra Ref. 18/2005.