Non-reflecting boundary condition on ellipsoidal boundary

The 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 prope...

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Bibliographic Details
Published in:Numerical analysis and applications Vol. 5; no. 2; pp. 109 - 115
Main Authors: Barucq, H., Dupouy St-Guirons, A. -G., Tordeux, S.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.04.2012
Springer
Subjects:
Analysis of PDEs
Mathematics
Mathematics and Statistics
Numerical Analysis
Helmholtz equation
waves propagation
boundary value problem for second-order elliptic equation
scattering problems
ISSN:1995-4239, 1995-4247
Online Access:Get full text
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Summary:The 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.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423912020024