no. 1
A modal synthesis method for the elastoacoustic vibration problem
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 1, pp. 121-142.

A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error estimates are given, and numerical experiments exhibiting the good performance of the method are reported.

DOI : https://doi.org/10.1051/m2an:2002005
Classification : 65N15,  65N25,  74F10
Mots clés : fluid-structure interaction, elastoacoustic, modal synthesis 
@article{M2AN_2002__36_1_121_0,
     author = {Berm\'udez, Alfredo and Hervella-Nieto, Luis and Rodr{\'\i}guez, Rodolfo},
     title = {A modal synthesis method for the elastoacoustic vibration problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     pages = {121--142},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {1},
     year = {2002},
     doi = {10.1051/m2an:2002005},
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     mrnumber = {1916295},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/m2an:2002005/}
}
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Bermúdez, Alfredo; Hervella-Nieto, Luis; Rodríguez, Rodolfo. A modal synthesis method for the elastoacoustic vibration problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 1, pp. 121-142. doi : 10.1051/m2an:2002005. http://www.numdam.org/articles/10.1051/m2an:2002005/

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