This article is cited in 3 papers

Non-reflecting boundary condition on ellipsoidal boundary

H. Barucq^ab, A.-G. Dupouy St-Guirons^acb, S. Tordeux<sup>ab

a</sup> Projet Magique 3D, INRIA Bordeaux Sud-Ouest
^b LMA, UMR CNRS 5142, Université de Pau et des Pays de l'Adour
^c Basque Center for Applied Mathematics (BCAM) Bizkaia Technology Park, Derio, Basque Country, Spain

Abstract: Modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered in order to avoid spurious reflections. In this paper, we investigate some properties of the Dirichlet to Neumann map posed on a spheroidal boundary in the context of the Helmholtz equation.

Key words: Helmholtz equation, boundary value problem for second-order elliptic equation, wave propagation, scattering problems.

MSC: 35J05, 35J25, 78A40, 78A45

Received: 04.10.2011

 English version: Numerical Analysis and Applications, 2012, 5:2, 109–115

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