Geodesic
Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 1, pp. 63-97 Cet article a éte moissonné depuis la source Numdam

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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 : 10.1051/m2an:2006008
Classification : 35J05, 74J05, 78A45, 78M30, 78M35
Keywords: slit, slot, wave equation, Helmholtz equation, approximate model 
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     title = {Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {63--97},
     year = {2006},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {1},
     doi = {10.1051/m2an:2006008},
     mrnumber = {2223505},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006008/}
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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 , Tome 40 (2006) no. 1, pp. 63-97. doi: 10.1051/m2an:2006008

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