M. Astorino and C. Grandmont, Convergence analysis of a projection semi-implicit coupling scheme for fluid???structure interaction problems, Numerische Mathematik, vol.96, issue.1, pp.721-767, 2010.
DOI : 10.1007/s00211-010-0311-x

URL : https://hal.archives-ouvertes.fr/hal-00860416

S. Badia, F. Nobile, and C. Vergara, Fluid???structure partitioned procedures based on Robin transmission conditions, Journal of Computational Physics, vol.227, issue.14, pp.7027-7051, 2008.
DOI : 10.1016/j.jcp.2008.04.006

S. Badia, A. Quaini, and A. Quarteroni, Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction, SIAM Journal on Scientific Computing, vol.30, issue.4, pp.1778-1805, 2008.
DOI : 10.1137/070680497

J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids, Journal of Computational Physics, vol.269, pp.108-137, 2014.
DOI : 10.1016/j.jcp.2014.03.006

S. C. Brenner and L. R. Scott, The mathematical theory of finite element methods, Texts in Applied Mathematics, vol.15, 2008.

F. Brezzi and J. Pitkäranta, On the Stabilization of Finite Element Approximations of the Stokes Equations, Notes Numer. Fluid Mech, vol.10, pp.11-19, 1984.
DOI : 10.1007/978-3-663-14169-3_2

M. Bukac, S. Canic, R. Glowinski, B. Muha, and A. Quaini, A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures, Int. J. Numer. Meth. Fluids, issue.8, pp.74577-604, 2014.

M. Bukac, S. Canic, R. Glowinski, J. Tambaca, and A. Quaini, Fluid???structure interaction in blood flow capturing non-zero longitudinal structure displacement, Journal of Computational Physics, vol.235, pp.515-541, 2013.
DOI : 10.1016/j.jcp.2012.08.033

E. Burman and M. A. Fernández, Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis, SIAM Journal on Numerical Analysis, vol.47, issue.1, pp.409-439, 2008.
DOI : 10.1137/070707403

URL : https://hal.archives-ouvertes.fr/inria-00178359

E. Burman and M. A. Fernández, Stabilization of explicit coupling in fluid???structure interaction involving fluid incompressibility, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.5-8, pp.5-8766, 2009.
DOI : 10.1016/j.cma.2008.10.012

URL : https://hal.archives-ouvertes.fr/inria-00247409

]. E. Burman and M. A. Fernández, Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling, International Journal for Numerical Methods in Engineering, vol.13, issue.1, pp.739-758, 2014.
DOI : 10.1002/nme.4607

URL : https://hal.archives-ouvertes.fr/hal-00819948

E. Burman, M. A. Fernández, and P. Hansbo, Continuous Interior Penalty Finite Element Method for Oseen's Equations, SIAM Journal on Numerical Analysis, vol.44, issue.3, pp.1248-1274, 2006.
DOI : 10.1137/040617686

P. Causin, J. Gerbeau, and F. Nobile, Added-mass effect in the design of partitioned algorithms for fluid???structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.42-44, pp.42-444506, 2005.
DOI : 10.1016/j.cma.2004.12.005

URL : https://hal.archives-ouvertes.fr/hal-00695954

V. Domínguez and F. Sayas, Stability of discrete liftings, Comptes Rendus Mathematique, vol.337, issue.12, pp.805-808, 2003.
DOI : 10.1016/j.crma.2003.10.025

Q. Du, M. D. Gunzburger, L. S. Hou, and J. Lee, Analysis of a linear fluid-structure interaction problem, Discrete Contin. Dyn. Syst, vol.9, issue.3, pp.633-650, 2003.

Q. Du, M. D. Gunzburger, L. S. Hou, and J. Lee, Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem, SIAM Journal on Numerical Analysis, vol.42, issue.1, pp.1-29, 2004.
DOI : 10.1137/S0036142903408654

M. A. Fernández, Incremental displacement-correction schemes for incompressible fluid-structure interaction, Numerische Mathematik, vol.17, issue.6, pp.21-65, 2013.
DOI : 10.1007/s00211-012-0481-9

M. A. Fernández, J. F. Gerbeau, and C. Grandmont, A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, International Journal for Numerical Methods in Engineering, vol.9, issue.4, pp.794-821, 2007.
DOI : 10.1002/nme.1792

M. A. Fernández and J. Mullaert, Displacement-velocity correction schemes for incompressible fluid???structure interaction, Comptes Rendus Mathematique, vol.349, issue.17-18, pp.17-181011, 2011.
DOI : 10.1016/j.crma.2011.08.004

M. A. Fernández, J. Mullaert, and M. Vidrascu, Explicit Robin???Neumann schemes for the coupling of incompressible fluids with thin-walled structures, Computer Methods in Applied Mechanics and Engineering, vol.267, pp.566-593, 2013.
DOI : 10.1016/j.cma.2013.09.020

M. A. Fernández, J. Mullaert, and M. Vidrascu, Generalized Robin-Neumann explicit coupling schemes for incompressible fluid-structure interaction: Stability analysis and numerics, International Journal for Numerical Methods in Engineering, vol.38, issue.6-7, pp.199-229, 2015.
DOI : 10.1002/nme.4785

C. A. Figueroa, I. E. Vignon-clementel, K. E. Jansen, T. J. Hughes, and C. A. Taylor, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.41-435685, 2006.
DOI : 10.1016/j.cma.2005.11.011

C. Förster, W. A. Wall, and E. Ramm, Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.7, pp.1278-1293, 2007.
DOI : 10.1016/j.cma.2006.09.002

G. Guidoboni, R. Glowinski, N. Cavallini, and S. Canic, Stable loosely-coupled-type algorithm for fluid???structure interaction in blood flow, Journal of Computational Physics, vol.228, issue.18, pp.6916-6937, 2009.
DOI : 10.1016/j.jcp.2009.06.007

M. D. Gunzburger and S. L. Hou, Treating Inhomogeneous Essential Boundary Conditions in Finite Element Methods and the Calculation of Boundary Stresses, SIAM Journal on Numerical Analysis, vol.29, issue.2, pp.390-424, 1992.
DOI : 10.1137/0729024

P. Hansbo, Nitsche's method for interface problems in computa-tional mechanics, GAMM-Mitteilungen, vol.15, issue.2, pp.183-206, 2005.
DOI : 10.1002/gamm.201490018

F. Hecht, New development in FreeFem++ [28] P. Joly. Variational methods for time-dependent wave propagation problems, Topics in Computational Wave Propagation, pp.3-4251, 2003.

P. , L. Tallec, and S. Mani, Numerical analysis of a linearised fluid-structure interaction problem, Numer. Math, vol.87, issue.2, pp.317-354, 2000.

M. Lukacova, G. Rusnakova, and A. Hundertmark, Kinematic splitting algorithm for fluid???structure interaction in hemodynamics, Computer Methods in Applied Mechanics and Engineering, vol.265, issue.1, pp.83-106, 2013.
DOI : 10.1016/j.cma.2013.05.025

F. Nobile and C. Vergara, An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions, SIAM Journal on Scientific Computing, vol.30, issue.2, pp.731-763, 2008.
DOI : 10.1137/060678439

A. Quaini and A. Quarteroni, A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD, Mathematical Models and Methods in Applied Sciences, vol.17, issue.06, pp.957-983, 2007.
DOI : 10.1142/S0218202507002170

V. Thomée, Galerkin finite element methods for parabolic problems, 2006.
DOI : 10.1007/978-3-662-03359-3