Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering

Xavier Antoine; Hélène Barucq

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2005)

  • Volume: 39, Issue: 5, page 1041-1059
  • ISSN: 0764-583X

Abstract

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This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted and scattered waves. Theoretical aspects of the problem and numerical experiments are reported to analyze the efficiency of the method and precise its validity domain.

How to cite

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Antoine, Xavier, and Barucq, Hélène. "Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 39.5 (2005): 1041-1059. <http://eudml.org/doc/244799>.

@article{Antoine2005,
abstract = {This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted and scattered waves. Theoretical aspects of the problem and numerical experiments are reported to analyze the efficiency of the method and precise its validity domain.},
author = {Antoine, Xavier, Barucq, Hélène},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Helmholtz equation; acoustics; integral equations; generalized impedance boundary conditions; existence and uniqueness results; existence and uniqueness results.},
language = {eng},
number = {5},
pages = {1041-1059},
publisher = {EDP-Sciences},
title = {Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering},
url = {http://eudml.org/doc/244799},
volume = {39},
year = {2005},
}

TY - JOUR
AU - Antoine, Xavier
AU - Barucq, Hélène
TI - Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2005
PB - EDP-Sciences
VL - 39
IS - 5
SP - 1041
EP - 1059
AB - This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted and scattered waves. Theoretical aspects of the problem and numerical experiments are reported to analyze the efficiency of the method and precise its validity domain.
LA - eng
KW - Helmholtz equation; acoustics; integral equations; generalized impedance boundary conditions; existence and uniqueness results; existence and uniqueness results.
UR - http://eudml.org/doc/244799
ER -

References

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