L. M. Brekhovskikh and O. A. Godin, Acoustics of Layered Media 1-Plane and Quasi-Plane Waves, 1990.

D. Calhoun and R. J. Leveque, Solving the advection-diffusion equation in irregular geometries, J. Comput. Phys, vol.156, pp.1-38, 2000.

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

R. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999.
DOI : 10.1006/jcph.1999.6236

T. Fogarty, Finite Volume Methods for Acoustics and Elasto-plasticity with Damage in a Heterogeneous Medium, 2001.

T. Fouquet, Raffinement de maillage spatio-temporel pour leséquationsleséquations de Maxwell, 2000.

P. Germain and P. Muller, IntroductionàIntroduction`Introductionà la mécanique des milieux continus, 1995.

E. Godlewski and P. A. Raviart, Numerical Approximation of Hyperbolic Systems of Conservation Laws, 1996.
DOI : 10.1007/978-1-4612-0713-9

D. Komatitsch, C. Barnes, and J. Tromp, Wave propagation near a fluid???solid interface: A spectral???element approach, GEOPHYSICS, vol.65, issue.2, pp.65-67, 2000.
DOI : 10.1190/1.1444758
URL : https://hal.archives-ouvertes.fr/hal-00669051

L. Lee, Immersed Interface Methods, 2002.

L. Lee and R. J. Leveque, Immersed Interface Method for incompressible Navier-Stokes equations, submitted to SIAM, J. Scient. Comput, 2002.

R. J. Leveque, Numerical Methods for Conservation Laws, 1990.

R. J. Leveque, Wave Propagation Algorithms for Multidimensional Hyperbolic Systems, Journal of Computational Physics, vol.131, issue.2, pp.327-353, 1997.
DOI : 10.1006/jcph.1996.5603

Z. Li and M. C. Lai, The Immersed Interface Method for the Navier???Stokes Equations with Singular Forces, Journal of Computational Physics, vol.171, issue.2, pp.171-173, 2001.
DOI : 10.1006/jcph.2001.6813

Z. Li and R. J. Leveque, Immersed interface methods for Stokes flow with elastic boundaries or surface tension, SIAM J. Sci. Comput, vol.18, pp.709-735, 1997.

Z. Li and R. J. Leveque, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Num. Anal, pp.31-1019, 1994.

B. Lombard, Modélisation Numérique de la Propagation des Ondes Acoustiques et Elastiques en Présence d'Interfaces, 2002.

B. Lombard and J. Piraux, How to Incorporate the Spring-Mass Conditions in Finite-Difference Schemes, SIAM Journal on Scientific Computing, vol.24, issue.4, pp.1379-1407, 2003.
DOI : 10.1137/S1064827501385931
URL : https://hal.archives-ouvertes.fr/hal-00004812

C. S. Peskin, Numerical analysis of blood flow in the heart, Journal of Computational Physics, vol.25, issue.3, pp.220-252, 1977.
DOI : 10.1016/0021-9991(77)90100-0

J. Piraux and B. Lombard, A New Interface Method for Hyperbolic Problems with Discontinuous Coefficients: One-Dimensional Acoustic Example, Journal of Computational Physics, vol.168, issue.1, pp.168-169, 2001.
DOI : 10.1006/jcph.2001.6696
URL : https://hal.archives-ouvertes.fr/hal-00004811

W. H. Press, S. A. Teukolskyn, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran: The Art of Scientific Computing, 1992.

R. Van-vossen, J. O. Robertsson, and C. H. Chapman, Finite-difference modeling of wave-propagation in a fluid-solid configuration, Geophysics, pp.67-69, 2002.

A. Wiegmann and K. Bube, The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources, SIAM Journal on Numerical Analysis, vol.35, issue.1, pp.177-200, 1998.
DOI : 10.1137/S003614299529378X

A. Wiegmann and K. Bube, The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions, SIAM Journal on Numerical Analysis, vol.37, issue.3, pp.37-827, 2000.
DOI : 10.1137/S0036142997328664

C. Zhang, Immersed Interface Method for Hyperbolic Systems of Partial Differential Equations with Discontinuous Coefficients, 1996.

C. Zhang and R. J. Leveque, The immersed interface method for acoustic wave equations with discontinuous coefficients, Wave Motion, vol.25, issue.3, pp.237-263, 1997.
DOI : 10.1016/S0165-2125(97)00046-2