Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 141-149
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In this paper, we construct an asymptotic expansion of a time-harmonic wave scattered by $N$ small spheres. This construction is based on the method of matched asymptotic expansions. Error estimates give a theoretical background to the approach.
@article{SJVM_2012_15_2_a2,
author = {A. Bendali and P.-H. Cocquet and S. Tordeux},
title = {Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {141--149},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a2/}
}
TY - JOUR AU - A. Bendali AU - P.-H. Cocquet AU - S. Tordeux TI - Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2012 SP - 141 EP - 149 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a2/ LA - ru ID - SJVM_2012_15_2_a2 ER -
%0 Journal Article %A A. Bendali %A P.-H. Cocquet %A S. Tordeux %T Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2012 %P 141-149 %V 15 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a2/ %G ru %F SJVM_2012_15_2_a2
A. Bendali; P.-H. Cocquet; S. Tordeux. Scattering of a~scalar time-harmonic wave by~$N$ small spheres by the method of matched asymptotic expansions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 141-149. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a2/