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A mixed-FEM and BEM coupling for the approximationof the scattering of thermal wavesin locally non-homogeneous media

Published online by Cambridge University Press:  16 January 2007

María-Luisa Rapún  and
Francisco-Javier Sayas
María-Luisa Rapún
Affiliation:
Dep. Matemática e Informática, Universidad Pública de Navarra. Campus de Arrosadía, 31006 Pamplona, Spain.
Francisco-Javier Sayas
Affiliation:
Dep. Matemática Aplicada, Universidad de Zaragoza. C.P.S., 50018 Zaragoza, Spain.
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Abstract

This paper proposes and analyzes a BEM-FEM scheme to approximatea time-harmonic diffusion problem in the plane with non-constantcoefficients in a bounded area. The model is set as a Helmholtztransmission problem with adsorption and with non-constantcoefficients in a bounded domain. We reformulate the problem as afour-field system. For the temperature and the heat flux we usepiecewise constant functions and lowest order Raviart-Thomaselements associated to a triangulation approximating the boundeddomain. For the boundary unknowns we take spaces of periodicsplines. We show how to transmit information from the approximateboundary to the exact one in an efficient way and provewell-posedness of the Galerkin method. Error estimates areprovided and experimentally corroborated at the end of the work.

Keywords

Couplingfinite elementsboundary elementsexteriorboundary value problemHelmholtz equation.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 40 , Issue 5 , September 2006 , pp. 871 - 896
Copyright
© EDP Sciences, SMAI, 2007

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