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.
@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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {40},
year = {2006},
pages = {63-97},
doi = {10.1051/m2an:2006008},
mrnumber = {2223505},
zbl = {pre05038393},
language = {en},
url = {http://dml.mathdoc.fr/item/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: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 40 (2006) pp. 63-97. doi : 10.1051/m2an:2006008. http://gdmltest.u-ga.fr/item/M2AN_2006__40_1_63_0/
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