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An analysis of Feng's and other symmetric local absorbing boundary conditions

Schmidt, Kersten and Heier, Christian :
An analysis of Feng's and other symmetric local absorbing boundary conditions.
[Online-Edition: http://dx.doi.org/10.1051/m2an/2014029]
In: ESAIM: Math. Model. Numer. Anal., 49 (1) pp. 257-273.
[Article] , (2015)

Official URL: http://dx.doi.org/10.1051/m2an/2014029

Abstract

With symmetric local absorbing boundary conditions for the Helmholtz equation scattering problems can be solved on a truncated domain, where the outgoing radiation condition is approximated by a Dirichlet-to-Neumann map with higher tangential derivatives on its outer boundary. Feng's conditions are symmetric local absorbing boundary conditions, which are based on an asymptotic expansion of the coefficients of the exact Dirichlet-to-Neumann map for large radia of the circular outer boundary. In this article we analyse the well-posedness of variational formulations with symmetric local absorbing boundary conditions in general and show how the modelling error introduced by Feng's conditions depends on the radius of the truncated domain.

Item Type: Article
Erschienen: 2015
Creators: Schmidt, Kersten and Heier, Christian
Title: An analysis of Feng's and other symmetric local absorbing boundary conditions
Language: English
Abstract:

With symmetric local absorbing boundary conditions for the Helmholtz equation scattering problems can be solved on a truncated domain, where the outgoing radiation condition is approximated by a Dirichlet-to-Neumann map with higher tangential derivatives on its outer boundary. Feng's conditions are symmetric local absorbing boundary conditions, which are based on an asymptotic expansion of the coefficients of the exact Dirichlet-to-Neumann map for large radia of the circular outer boundary. In this article we analyse the well-posedness of variational formulations with symmetric local absorbing boundary conditions in general and show how the modelling error introduced by Feng's conditions depends on the radius of the truncated domain.

Journal or Publication Title: ESAIM: Math. Model. Numer. Anal.
Volume: 49
Number: 1
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:24
DOI: 10.1051/m2an/2014029
Official URL: http://dx.doi.org/10.1051/m2an/2014029
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