Geodesic
Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots
Patrick Joly1 ; Adrien Semin1, 2
1UMR POEMS, CNRS-ENSTA-INRIA, E-mail: patrick.joly@inria.fr
2Equipe AN-EDP, Université Paris XI, E-mail: adrien.semin@inria.fr
ESAIM. Proceedings, Tome 25 (2008), pp. 44-67
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In this paper, we analyze via the theory of matched asymptotics the propagation of a time harmonic acoustic wave in a junction of two thin slots. This allows us to propose improved Kirchoff conditions for the 1D limit problem. These conditions are analyzed and validated numerically.
DOI : 10.1051/proc:082504

Patrick Joly  1   ; Adrien Semin  1 , 2

1 UMR POEMS, CNRS-ENSTA-INRIA, E-mail: patrick.joly@inria.fr
2 Equipe AN-EDP, Université Paris XI, E-mail: adrien.semin@inria.fr 
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     author = {Patrick Joly and Adrien Semin},
     title = {Construction and analysis of improved {Kirchoff} conditions for acoustic wave propagation in a junction of thin slots},
     journal = {ESAIM. Proceedings},
     pages = {44--67},
     year = {2008},
     volume = {25},
     doi = {10.1051/proc:082504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:082504/}
}
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Patrick Joly; Adrien Semin. Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots. ESAIM. Proceedings, Tome 25 (2008), pp. 44-67. doi: 10.1051/proc:082504

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