I. Babuska, The finite element method with Lagrangian multipliers, Numerische Mathematik, vol.12, issue.3, pp.179-192, 1973.
DOI : 10.1007/BF01436561

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

E. Bécache, P. Joly, and A. 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

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. Brezzi-and-m and . Fortin, Mixed and Hybrid Finite Element Methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

G. Cohen, Higher-Order Numerical Methods for Transient Wave Equations. Scientific Computation, Applied Mechanics Reviews, vol.55, issue.5, 2002.
DOI : 10.1115/1.1497470

URL : https://hal.archives-ouvertes.fr/hal-01166961

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

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

F. Collino and C. Tsogka, Application of the PML Absorbing Layer Model to the Linear Elastodynamic Problem in Anisotropic Heteregeneous Media, Geophysics, pp.66-294, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00073219

S. Garcès, Application des méthodes de domaines fictifs à la modélisation des structures rayonnantes tridimensionnelles, 1998.

V. Girault-and-r and . 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

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations Theory and algorithms, of Springer Series in Computational Mathematics, 1986.

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

R. Glowinski, T. W. Pan, and A. J. Periaux, A fictitious domain method for Dirichlet problem and applications, Computer Methods in Applied Mechanics and Engineering, vol.111, issue.3-4, pp.283-303, 1994.
DOI : 10.1016/0045-7825(94)90135-X

E. Heikkola, Y. A. Kuznetsov, P. Neittaanmäki, J. And, and . 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, J. And, and . Toivanen, A Domain Embedding Method for Scattering Problems with an Absorbing Boundary or a Perfectly Matched Layer, Journal of Computational Acoustics, vol.11, issue.02, pp.159-174, 2003.
DOI : 10.1142/S0218396X03001869

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.

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 fluide-structure: simulation de la timbale, 1999.

N. Tordjman, Eléments finis d'ordre élevé avec condensation de masse pour l'équation des ondes, 1995.

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche, 2004.

I. De-voluceau-rocquencourt, BP 105 -78153 Le Chesnay Cedex (France) http://www.inria.fr ISSN, pp.249-6399