I. Babuska, F. Ihlenburg, E. Paik, and S. Sauter, A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution, Computer Methods in Applied Mechanics and Engineering, vol.128, issue.3-4, pp.325-59, 1995.
DOI : 10.1016/0045-7825(95)00890-X

P. E. Barbone, J. M. Montgomery, O. Michael, and I. Harari, Scattering by a hybrid asymptotic/finite element method, Computer Methods in Applied Mechanics and Engineering, vol.164, issue.1-2, pp.141-56, 1998.
DOI : 10.1016/S0045-7825(98)00051-6

V. D. Belov and S. A. Ryback, Applicability of the transport equation in the onedimensional wave propagation problem, Akust. Zh., Sov. Phys. Acoust, vol.21, issue.2, pp.173-80, 1975.

V. D. Belov and S. A. Ryback, Propagation of vibrational energy in absorbing structures, Sov. Phys. Acoust, vol.23, issue.2, pp.115-134, 1977.

V. V. Bolotin, The edge effect in the oscilllations of elastic shells, pp.831-874, 1960.

P. Bouillard and F. Ihlenburg, Error estimation and adaptativity for the finite element solution in acoustics, Advances in Adaptative Computational Methods in Mechanics, pp.477-92, 1998.

O. M. Bouthier and R. J. Bernhard, Simple models of the energetics of transversely vibrating plates, Journal of Sound and Vibration, vol.182, issue.1, pp.149-66, 1995.
DOI : 10.1006/jsvi.1995.0187

L. E. Buvailo and A. V. Ionov, Application of the finite element method to the investigation of the vibroacoustical characterisics of structures at high audio frequencies, Sov. Phys. Acoust, vol.26, issue.4, pp.277-286, 1980.

J. M. Cuschieri, Vibration transmission through periodic structures using a mobility power flow approach, Journal of Sound and Vibration, vol.143, issue.1, pp.65-74, 1990.
DOI : 10.1016/0022-460X(90)90568-K

E. De-langre, Fonctions de transfert de plaques en flexion par e Âquations inte Âgrales. Test de validation et de performance, 1991.

L. Demkowicz, A. Karafiat, and J. I. Oden, Solution of elastic scattering problems in linear acoustics using h-p boundary element method, Computer Methods in Applied Mechanics and Engineering, vol.101, issue.1-3, pp.251-82, 1992.
DOI : 10.1016/0045-7825(92)90025-F

A. Deraemaeker, I. Babuska, and P. Bouillard, Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions, International Journal for Numerical Methods in Engineering, vol.142, issue.4, pp.471-99, 1999.
DOI : 10.1002/(SICI)1097-0207(19991010)46:4<471::AID-NME684>3.0.CO;2-6

E. H. Dowell and Y. Kubota, Asymptotic Modal Analysis and Statistical Energy Analysis of Dynamical Systems, Journal of Applied Mechanics, vol.52, issue.4, pp.949-57, 1985.
DOI : 10.1115/1.3169174

A. Girard and H. Defosse, Frequency Response Smoothing and Structural Path Analysis: Application to Beam Trusses, Journal of Sound and Vibration, vol.165, issue.1, pp.165-70, 1993.
DOI : 10.1006/jsvi.1993.1249

J. Greenstadt, Solution of wave propagation problems by the cell discretization method, Computer Methods in Applied Mechanics and Engineering, vol.174, issue.1-2, pp.1-21, 1999.
DOI : 10.1016/S0045-7825(98)00274-6

K. Grosh and P. M. Pinsky, Galerkin Generalized Least Squares finite element methods for time-harmonic structural acoustics, Computer Methods in Applied Mechanics and Engineering, vol.154, issue.3-4, pp.299-318, 1998.
DOI : 10.1016/S0045-7825(97)00131-X

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.7018

I. Harari and S. Haham, Improved finite element methods for elastic waves, Computer Methods in Applied Mechanics and Engineering, vol.166, issue.1-2, pp.143-64, 1998.
DOI : 10.1016/S0045-7825(98)00088-7

I. Harari and J. R. Huges, Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains, Computer Methods in Applied Mechanics and Engineering, vol.98, issue.3, pp.411-54, 1992.
DOI : 10.1016/0045-7825(92)90006-6

I. Harari, K. Grosh, J. R. Huges, M. Malkostra, M. Pinsky et al., Recent developments in finite element methods for structural acoustics, Archives of Computational Methods in Engineering, vol.49, issue.4, pp.131-311, 1996.
DOI : 10.1007/BF03041209

C. Hochard, P. Ladeve-Áze, and L. Proslier, A simplified analysis of elastic structures, Eur. J. Mech. A/Solids, vol.12, issue.4, pp.509-544, 1993.

M. N. Ichchou, L. Bot, A. Je-Âze-Âquel, and L. , ENERGY MODELS OF ONE-DIMENSIONAL, MULTI-PROPAGATIVE SYSTEMS, Journal of Sound and Vibration, vol.201, issue.5, pp.535-54, 1997.
DOI : 10.1006/jsvi.1996.0780

F. Ihlenburg and I. Babuska, Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation, International Journal for Numerical Methods in Engineering, vol.38, issue.22, pp.3745-74, 1995.
DOI : 10.1002/nme.1620382203

F. Ihlenburg and I. Babuska, Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM, SIAM Journal on Numerical Analysis, vol.34, issue.1, pp.315-58, 1997.
DOI : 10.1137/S0036142994272337

L. Áze and P. , Pre Âdiction des vibrations moyennes fre Âquences: Etat de l'art et remarques'', NT Ae Ârospatiale YX, p.471, 1995.

L. Áze and P. , Une nouvelle approche pour le calcul des vibrations moyennes fre Âquences'', NT Ae Ârospatiale YX, p.639, 1996.

L. Áze and P. , A new computational approach for structure vibrations in the medium frequency range, C. R. Acad. Sci, issue.12, pp.849-56, 1996.

R. S. Langley, On the vibrational conductivity approach to high frequency dynamics for two-dimensional structural components, Journal of Sound and Vibration, vol.182, issue.4, pp.637-57, 1995.
DOI : 10.1006/jsvi.1995.0223

Y. Lase, M. N. Ichchou, J. Âze-Âquel, and L. , ENERGY FLOW ANALYSIS OF BARS AND BEAMS: THEORETICAL FORMULATIONS, Journal of Sound and Vibration, vol.192, issue.1, pp.2981-3005, 1994.
DOI : 10.1006/jsvi.1996.0188

A. Y. Leung and J. K. Chan, FOURIERp-ELEMENT FOR THE ANALYSIS OF BEAMS AND PLATES, Journal of Sound and Vibration, vol.212, issue.1, pp.179-95, 1998.
DOI : 10.1006/jsvi.1997.1423

W. K. Liu, Y. Zhang, and M. R. Ramirez, Multiple scale finite element methods, International Journal for Numerical Methods in Engineering, vol.115, issue.5, pp.969-90, 1991.
DOI : 10.1002/nme.1620320504

E. Luzzato, EDF workshop proceeding on methods in medium and high frequency: the alternative to SEA, 1989.

R. H. Lyon and G. Maidanik, Power Flow between Linearly Coupled Oscillators, The Journal of the Acoustical Society of America, vol.34, issue.5, pp.623-662, 1962.
DOI : 10.1121/1.1918177

B. R. Mace, On The Statistical Energy Analysis Hypothesis Of Coupling Power Proportionality And Some Implications Of Its Failure, Journal of Sound and Vibration, vol.178, issue.1, pp.95-112, 1994.
DOI : 10.1006/jsvi.1994.1470

J. P. Morand, A modal hybridization method for the reduction of dynamic models, New Advances Computational Structural Mechanics, pp.347-65, 1992.

D. J. Nefske and S. H. Sung, Power Flow Finite Element Analysis of Dynamic Systems: Basic Theory and Application to Beams, Journal of Vibration Acoustics Stress and Reliability in Design, vol.111, issue.1, pp.94-100, 1989.
DOI : 10.1115/1.3269830

M. Ochmann and S. N. Makarov, An iterative solver of the Helmholtz integral equation for high frequency acoustic scattering, pp.742-50, 1998.

R. Ohayon, Local and global effects in the vibration of structures. A review synthesis, ESTEC, ESA Workshop Proceeding on Modal Representation of Flexible Structures by Continuum Methods, pp.29-54, 1989.

F. J. Rizzo, D. J. Shippy, and M. Rezayat, A boundary integral equation method for radiation and scattering of elastic waves in three dimensions, International Journal for Numerical Methods in Engineering, vol.37, issue.2, pp.115-144, 1985.
DOI : 10.1002/nme.1620210110

G. Rosenhouse, J. Avrashi, and O. Michael, Steady state elastodynamics using boundary spectral line strips, Engrg Comput, vol.15, issue.2, pp.221-253, 1997.

C. Soize, The Local Effects in the Linear Dynamic Analysis of Structures in the Medium Frequency Range, Local Effects in the Analysis of Structures, pp.253-78, 1985.
DOI : 10.1016/B978-0-444-42520-1.50016-5

URL : https://hal.archives-ouvertes.fr/hal-00770413

C. Soize, Reduced models in the medium frequency range for general dissipative structural-dynamics systems, European Journal of Mechanics - A/Solids, vol.17, issue.4, 1998.
DOI : 10.1016/S0997-7538(99)80027-8

URL : https://hal.archives-ouvertes.fr/hal-00765806

N. E. Wiberg, R. Bausys, and P. Hager, Improved eigen frequencies and eigenmodes in free vibration analysis Advances in Finite Element Technology, pp.43-54, 1996.

K. Wu and J. H. Ginsberg, Mid-Frequency Range Acoustic Radiation From Slender Elastic Bodies Using the Surface Variational Principle, Journal of Vibration and Acoustics, vol.120, issue.2, pp.392-400, 1998.
DOI : 10.1115/1.2893843

Y. Young, K. , J. Hoon, and K. , Free vibration analysis of membrane using wave type base functions, JASA, vol.99, issue.5, pp.2938-2984, 1996.

A. P. Zielinski and I. Herrera, Trefftz method: Fitting boundary conditions, International Journal for Numerical Methods in Engineering, vol.14, issue.5, pp.871-91, 1987.
DOI : 10.1002/nme.1620240504