In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.
Mots-clés : slit, slot, wave equation, Helmholtz equation, approximate model
@article{M2AN_2006__40_1_63_0,
author = {Joly, Patrick and Tordeux, S\'ebastien},
title = {Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {63--97},
publisher = {EDP-Sciences},
volume = {40},
number = {1},
year = {2006},
doi = {10.1051/m2an:2006008},
mrnumber = {2223505},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2006008/}
}
TY - JOUR AU - Joly, Patrick AU - Tordeux, Sébastien TI - Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2006 SP - 63 EP - 97 VL - 40 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2006008/ DO - 10.1051/m2an:2006008 LA - en ID - M2AN_2006__40_1_63_0 ER -
%0 Journal Article %A Joly, Patrick %A Tordeux, Sébastien %T Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots %J ESAIM: Modélisation mathématique et analyse numérique %D 2006 %P 63-97 %V 40 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2006008/ %R 10.1051/m2an:2006008 %G en %F M2AN_2006__40_1_63_0
Joly, Patrick; Tordeux, Sébastien. Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 1, pp. 63-97. doi : 10.1051/m2an:2006008. http://www.numdam.org/articles/10.1051/m2an:2006008/
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