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.
Mots clés : Helmholtz equation, acoustics, integral equations, generalized impedance boundary conditions, existence and uniqueness results
@article{M2AN_2005__39_5_1041_0, author = {Antoine, Xavier and Barucq, H\'el\`ene}, title = {Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1041--1059}, publisher = {EDP-Sciences}, volume = {39}, number = {5}, year = {2005}, doi = {10.1051/m2an:2005037}, mrnumber = {2178572}, zbl = {1074.78004}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2005037/} }
TY - JOUR AU - Antoine, Xavier AU - Barucq, Hélène TI - Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2005 SP - 1041 EP - 1059 VL - 39 IS - 5 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2005037/ DO - 10.1051/m2an:2005037 LA - en ID - M2AN_2005__39_5_1041_0 ER -
%0 Journal Article %A Antoine, Xavier %A Barucq, Hélène %T Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering %J ESAIM: Modélisation mathématique et analyse numérique %D 2005 %P 1041-1059 %V 39 %N 5 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2005037/ %R 10.1051/m2an:2005037 %G en %F M2AN_2005__39_5_1041_0
Antoine, Xavier; Barucq, Hélène. Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 5, pp. 1041-1059. doi : 10.1051/m2an:2005037. http://www.numdam.org/articles/10.1051/m2an:2005037/
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