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, Volume 40 (2006) no. 1, p. 63-97

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.

DOI : https://doi.org/10.1051/m2an:2006008
Classification:  35J05,  74J05,  78A45,  78M30,  78M35
Keywords: 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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {1},
     year = {2006},
     pages = {63-97},
     doi = {10.1051/m2an:2006008},
     zbl = {pre05038393},
     mrnumber = {2223505},
     language = {en},
     url = {http://www.numdam.org/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, Volume 40 (2006) no. 1, pp. 63-97. doi : 10.1051/m2an:2006008. http://www.numdam.org/item/M2AN_2006__40_1_63_0/

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