J. Argyris, I. Fried, and D. Sharpf, The TUBA family of plate elements for thematrix displacement method, The Aeronaultical Journal of the Royal Aeronautical Society, pp.72-701, 1968.

G. P. Astrakhantsev, Method of fictitious domains for a second-order elliptic equation with natural boundary conditions, USSR Computational Mathematics and Mathematical Physics, vol.18, issue.1, pp.114-121, 1978.
DOI : 10.1016/0041-5553(78)90012-5

I. Babuska, The finite element method with Lagrangian multipliers, Numerische Mathematik, vol.12, issue.3, pp.179-192, 1973.
DOI : 10.1090/trans2/057/08

A. Bamberger, G. Chavent, and P. Lailly, Etude de schémas numériques pour leséquationsleséquations de l' ´ elastodynamique linéaire, 1980.

J. Batoz, K. Bathe, and L. Ho, A study of three-node triangular plate bending elements, International Journal for Numerical Methods in Engineering, vol.31, issue.12, 1980.
DOI : 10.1002/nme.1620151205

E. Bécache, A. Chaigne, G. Derveaux, and P. Joly, Numerical simulation of the acoustic guitar. DVD, VHS and RealPlayer document, 2003.

E. Bécache, P. Joly, and C. Tsogka, FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION, Journal of Computational Acoustics, vol.28, issue.2, pp.1175-1203, 2001.
DOI : 10.1007/BF01397550

F. Brezzi and M. Fortin, Numerical approximation of Mindlin-Reissner plates, Mathematics of Computation, vol.47, issue.175, pp.151-158, 1986.
DOI : 10.1090/S0025-5718-1986-0842127-7

A. Chaigne, On the use of finite differences for musical synthesis. Application to plucked string instruments, J. Acoust, vol.5, pp.181-211, 1992.

A. Chaigne and C. Lambourg, Time-domain simulation of damped impacted plates. I. Theory and experiments, The Journal of the Acoustical Society of America, vol.109, issue.4, pp.1422-1432, 2001.
DOI : 10.1121/1.1354200
URL : https://hal.archives-ouvertes.fr/hal-00830699

D. Chapelle, Une formulation mixte de plaque ou l'effort tranchant est approché dans son espace naturel, 1993.

P. Ciarlet, The finite element method for elliptic problems, 1978.

G. Cohen, Higher-Order Numerical Methods for Transient Wave Equations, 2002.
DOI : 10.1121/1.1577548
URL : https://hal.archives-ouvertes.fr/hal-01166961

G. Cohen, P. Joly, J. E. Roberts, and N. Tordjman, Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation, SIAM Journal on Numerical Analysis, vol.38, issue.6, pp.2047-2078, 2001.
DOI : 10.1137/S0036142997329554
URL : https://hal.archives-ouvertes.fr/hal-01010373

F. Collino, Conditions absorbantes d'ordré elevé pour des modèles de propagation d'onde dans des domaines rectangulaires, 1992.

G. Derveaux, Modélisation numérique de la guitare acoustique, 2002.

G. Derveaux, A. Chaigne, P. Joly, and E. Bécache, Time-domain simulation of a guitar: Model and method, The Journal of the Acoustical Society of America, vol.114, issue.6, pp.3368-3383, 2003.
DOI : 10.1121/1.1629302
URL : https://hal.archives-ouvertes.fr/hal-00989042

P. Destuynder and T. Nevers, A new finite element scheme for bending plates, Computer Methods in Applied Mechanics and Engineering, vol.68, issue.2, p.68, 1988.
DOI : 10.1016/0045-7825(88)90111-9

P. Destuynder and M. Salaun, Mathematical analysis of thin plate models, of Mathématiques & Applications (Berlin) [Mathematics & Applications, 1996.
DOI : 10.1007/978-3-642-51761-7

B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp, pp.31-629, 1977.

P. C. Et and P. A. Raviart, A mixed finite element method for the biharmonic equation, in Mathematical Aspects of Finite Elements in Partial Differential Equations, pp.125-145, 1974.

N. H. Fletcher and T. D. Rossing, The physics of musical instruments, 1998.

P. J. Frey, Medit: An interactive mesh visualization software. www
URL : https://hal.archives-ouvertes.fr/inria-00069921

V. Girault and R. Glowinski, Error analysis of a fictitious domain method applied to a Dirichlet problem, Japan Journal of Industrial and Applied Mathematics, vol.33, issue.3, pp.487-514, 1995.
DOI : 10.1007/BF03167240

R. Glowinski, Approximations externes,parélémentsparéléments finis de lagrange d'ordre un et deux, duprobì eme de dirichlet pour l'opérateur biharmonique. méthodes itératives de résolution desprobì emes approchés., in Topics in Numerical Analysis, pp.123-171, 1973.

R. Glowinski, T. Pan, and J. Periaux, A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.112, issue.1-4, pp.133-148, 1994.
DOI : 10.1016/0045-7825(94)90022-1

R. Glowinski, T. Pan, and J. Periaux, A fictitious domain method for Dirichlet problem and applications, Computer Methods in Applied Mechanics and Engineering, vol.111, issue.3-4, pp.283-304, 1994.
DOI : 10.1016/0045-7825(94)90135-X

T. Hughes, The finite element method: Linear static and dynamic finite element analysis, 1987.

E. Jannson, A study of acoustical and hologram interferometric measurements on the top plate vibrations of of a guitar, Acustica, p.25, 1971.

P. Joly and L. Rhaouti, Domaines fictifs, ??l??ments finis H(div) et condition de Neumann: le probl??me de la condition inf-sup, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.12, pp.1225-1230, 1999.
DOI : 10.1016/S0764-4442(99)80444-3

Y. A. Kuznetsov, Fictitious component and domain decomposition methods for the solution of eigenvalue problems, Computing methods in applied sciences and engineering, VII (Versailles, pp.155-172, 1985.

A. W. Leissa, Vibrations of plates, NASA SP, vol.160, 1969.

F. Millot, F. Collino, and P. Joly, Fictitious domain method for unsteady problems: application to electromagnetic scattering, Mathematical and numerical aspects of wave propagation (Mandelieu-La Napoule SIAM, pp.260-269, 1995.
URL : https://hal.archives-ouvertes.fr/inria-00073735

C. S. Elejabarrieta and A. Ezcurra, Evolution of the vibrational behavior of a guitar soundboard along successive construction phases by means of the modal analysis technique, The Journal of the Acoustical Society of America, vol.108, issue.1, pp.369-378, 2000.
DOI : 10.1121/1.429470

J. Pitkäranta, Boundary subspaces for the finite element method with Lagrange multipliers, Numerische Mathematik, vol.31, issue.3, pp.273-289, 1979.
DOI : 10.1007/BF01398644

L. Rhaouti, A. Chaigne, and P. Joly, Time-domain modeling and numerical simulation of a kettledrum, The Journal of the Acoustical Society of America, vol.105, issue.6, pp.3545-3562, 1999.
DOI : 10.1121/1.424679

B. Richardson and G. Roberts, The adjustment of mode frequencies in guitars: A study by means of holographic interferometry and finite element analysis, SMAC 83, pp.285-302, 1983.

B. E. Richardson, The influence of strutting of the top-plate of a guitar, Catgut Acoustical Soc. Newsletter, pp.40-53, 1983.

B. E. Richardson, The acoustical development of the guitar, Catgut Acoust. Soc. J, vol.2, pp.181-211, 1994.

T. D. Rossing and G. Eban, Normal modes of a radially braced guitar determined by electronic TV holography, The Journal of the Acoustical Society of America, vol.106, issue.5, pp.2991-2996, 1999.
DOI : 10.1121/1.428118

K. Yosida, Functional Analysis, 1965.