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

E. Bécache, A. Chaigne, G. Derveaux, and P. Joly, Time-domain simulation of a guitar: Model and method, J. Acoust. Soc. Am, vol.6, issue.114, pp.3368-3383, 2003.

E. Bécache, P. Joly, and C. Tsogka, ??l??ments finis mixtes et condensation de masse en ??lastodynamique lin??aire. (I) Construction, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.325, issue.5, pp.545-550, 1997.
DOI : 10.1016/S0764-4442(97)88905-7

E. Bécache, P. Joly, and C. Tsogka, An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems, SIAM Journal on Numerical Analysis, vol.37, issue.4, pp.1053-1084, 2000.
DOI : 10.1137/S0036142998345499

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

E. Bécache, P. Joly, and C. Tsogka, A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem, SIAM Journal on Numerical Analysis, vol.39, issue.6, pp.2109-2132, 2002.
DOI : 10.1137/S0036142999359189

E. Bécache, J. Rodriguez, and C. Tsogka, Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.2, 2009.
DOI : 10.1007/BF01389668

J. P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994.
DOI : 10.1006/jcph.1994.1159

F. Collino, P. Joly, and F. Millot, Fictitious Domain Method for Unsteady Problems:, Journal of Computational Physics, vol.138, issue.2, pp.907-938, 1997.
DOI : 10.1006/jcph.1997.5849

URL : https://hal.archives-ouvertes.fr/inria-00073735

F. Collino and C. Tsogka, Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media, GEOPHYSICS, vol.66, issue.1, pp.294-307, 2001.
DOI : 10.1109/22.554601

S. Garcès, Application des méthodes de domaines fictifsàfictifs`fictifsà la modélisation des structures rayonnantes tridimensionnelles, 1998.

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, T. W. 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.3-4283, 1994.
DOI : 10.1016/0045-7825(94)90135-X

R. Glowinski and Y. Kuznetsov, On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.327, issue.7, pp.693-698, 1998.
DOI : 10.1016/S0764-4442(99)80103-7

P. Grisvard,

E. Heikkola, Y. A. Kuznetsov, P. Neittaanmäki, and J. Toivanen, Fictitious Domain Methods for the Numerical Solution of Two-Dimensional Scattering Problems, Journal of Computational Physics, vol.145, issue.1, pp.89-109, 1998.
DOI : 10.1006/jcph.1998.6014

E. Heikkola, T. Rossi, and J. Toivanen, A Domain Embedding Method for Scattering Problems with an Absorbing Boundary or a Perfectly Matched Layer, Journal of Computational Acoustics, vol.37, issue.02, pp.159-174, 2003.
DOI : 10.1007/978-3-662-03537-5

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, pp.155-172, 1985.

J. C. Nédélec, A new family of mixed finite elements in ?3, Numerische Mathematik, vol.39, issue.1, pp.57-81, 1986.
DOI : 10.1007/BF01389668

L. Rhaouti, Domaines fictifs pour la modélisation d'un probème d' interaction fluidestructure: simulation de la timbale, 1999.