F. Alauzet, B. Fabrèges, M. A. Fernández, and M. Landajuela, Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, Computer Methods in Applied Mechanics and Engineering, vol.301, pp.300-335, 2016.
DOI : 10.1016/j.cma.2015.12.015

URL : https://hal.archives-ouvertes.fr/hal-01149225

M. Annese, Time integration schemes for fluid-structure interaction problems: non-fitted FEMs for immersed thin structures, 2017.

M. Astorino, J. Gerbeau, O. Pantz, and K. Traoré, Fluid???structure interaction and multi-body contact: Application to aortic valves, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.45-46
DOI : 10.1016/j.cma.2008.09.012

URL : https://hal.archives-ouvertes.fr/inria-00542238

F. Baaijens, A fictitious domain/mortar element method for fluid-structure interaction, International Journal for Numerical Methods in Fluids, vol.79, issue.7, pp.743-761, 2001.
DOI : 10.1002/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A

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

URL : http://infoscience.epfl.ch/record/103018/files/splitting_methos.pdf

J. Banks, W. Henshaw, and D. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells, Journal of Computational Physics, vol.268, pp.399-416, 2014.
DOI : 10.1016/j.jcp.2014.03.004

K. Bathe, Finite Element Procedures, 1996.

F. Bertrand, P. A. Tanguy, and F. Thibault, A three-dimensional fictitious domain method for incompressible fluid flow problems, International Journal for Numerical Methods in Fluids, vol.7, issue.6, pp.25-719, 1997.
DOI : 10.1093/imanum/4.4.441

D. Boffi, N. Cavallini, and L. Gastaldi, FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT FLUID AND SOLID DENSITIES, Mathematical Models and Methods in Applied Sciences, vol.21, issue.12, pp.2523-2550, 2011.
DOI : 10.1016/j.cma.2003.12.044

D. Boffi, N. Cavallini, and L. Gastaldi, The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier, SIAM Journal on Numerical Analysis, vol.53, issue.6, pp.2584-2604, 2015.
DOI : 10.1137/140978399

URL : http://arxiv.org/pdf/1407.5184

D. Boffi and L. Gastaldi, A fictitious domain approach with Lagrange multiplier for fluid-structure interactions, Numerische Mathematik, vol.193, issue.232, pp.711-732, 2017.
DOI : 10.1016/j.cma.2003.12.024

URL : http://arxiv.org/pdf/1510.06856

L. Boilevin-kayl, M. A. Fernández, and J. Gerbeau, Numerical methods for immersed FSI with thin-walled structures, Computers & Fluids, 2018.
DOI : 10.1016/j.compfluid.2018.05.024

URL : https://hal.archives-ouvertes.fr/hal-01704575

M. Bukac, C. Canic, R. Glowinski, T. 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, Stabilization of explicit coupling in fluid???structure interaction involving fluid incompressibility, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.5-8, pp.766-784, 2009.
DOI : 10.1016/j.cma.2008.10.012

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

E. Burman and M. A. Fernández, An unfitted Nitsche method for incompressible fluid???structure interaction using overlapping meshes, Computer Methods in Applied Mechanics and Engineering, vol.279, pp.497-514, 2014.
DOI : 10.1016/j.cma.2014.07.007

URL : https://hal.archives-ouvertes.fr/hal-00918272

H. Casquero, C. Bona-casas, and H. Gomez, NURBS-based numerical proxies for red blood cells and circulating tumor cells in microscale blood flow, Computer Methods in Applied Mechanics and Engineering, vol.316, pp.316-646, 2017.
DOI : 10.1016/j.cma.2016.09.031

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.4506-4527, 2005.
DOI : 10.1016/j.cma.2004.12.005

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

N. Diniz-dos-santos, J. Gerbeau, and J. Bourgat, A partitioned fluid???structure algorithm for elastic thin valves with contact, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.19-20, pp.1750-1761, 2008.
DOI : 10.1016/j.cma.2007.03.019

URL : https://hal.archives-ouvertes.fr/hal-00701780

B. Fabrèges and B. Maury, Approximation of Single Layer Distributions by Dirac Masses in Finite Element Computations, Journal of Scientific Computing, vol.197, issue.2, pp.25-40, 2014.
DOI : 10.1016/j.cma.2007.07.009

M. A. Fernández, Incremental displacement-correction schemes for incompressible fluid-structure interaction, Numerische Mathematik, vol.17, issue.6, pp.21-65, 2013.
DOI : 10.1142/S0218202507002170

M. A. Fernández, J. 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 : 10.1007/978-1-4757-4355-5

M. A. Fernández and M. Landajuela, Splitting schemes for incompressible fluid/thin-walled structure interaction with unfitted meshes, Comptes Rendus Mathematique, vol.353, issue.7, pp.647-652, 2015.
DOI : 10.1016/j.crma.2015.04.003

M. A. Fernández, M. Landajuela, and M. Vidrascu, Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction, Journal of Computational Physics, vol.297, pp.156-181, 2015.
DOI : 10.1016/j.jcp.2015.05.009

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 : 10.1007/s00466-006-0066-5

C. Förster, W. 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
DOI : 10.1016/j.cma.2006.09.002

A. Gerstenberger and W. Wall, An eXtended Finite Element Method/Lagrange multiplier based approach for fluid???structure interaction, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.19-20, pp.1699-1714, 2008.
DOI : 10.1016/j.cma.2007.07.002

A. J. Gil, A. Arranz-carreño, J. Bonet, and O. Hassan, An enhanced Immersed Structural Potential Method for fluid???structure interaction, Journal of Computational Physics, vol.250, pp.178-205, 2013.
DOI : 10.1016/j.jcp.2013.05.011

URL : https://doi.org/10.1016/j.jcp.2013.05.011

R. Glowinski, T. Pan, T. Hesla, and D. Joseph, A distributed Lagrange mutiplier/fictitious domain method for particulate flows, Int. J. of Multiphase Flow, pp.25-755, 1999.
DOI : 10.1016/s0301-9322(98)00048-2

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

C. Hesch, A. J. Gil, A. Carreño, and J. Bonet, On continuum immersed strategies for Fluid???Structure Interaction, Computer Methods in Applied Mechanics and Engineering, vol.247, issue.248, pp.247-248, 2012.
DOI : 10.1016/j.cma.2012.07.021

URL : https://doi.org/10.1016/j.cma.2012.07.021

C. Kadapa, W. Dettmer, and D. Peri´cperi´c, A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid???solid contact, Computer Methods in Applied Mechanics and Engineering, vol.335, pp.472-489, 2018.
DOI : 10.1016/j.cma.2018.02.021

D. Kamensky, M. Hsu, D. Schillinger, J. Evans, A. Aggarwal et al., An immersogeometric variational framework for fluid???structure interaction: Application to bioprosthetic heart valves, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.284-1005, 2015.
DOI : 10.1016/j.cma.2014.10.040

URL : http://europepmc.org/articles/pmc4274080?pdf=render

D. Kamensky, Y. Hsu, M. Yu, E. J. , M. Sacks et al., Immersogeometric cardiovascular fluid???structure interaction analysis with divergence-conforming B-splines, Computer Methods in Applied Mechanics and Engineering, vol.314, pp.314-408, 2017.
DOI : 10.1016/j.cma.2016.07.028

URL : http://europepmc.org/articles/pmc5319417?pdf=render

W. Kim, H. Lee, and I. Choi, A weak-coupling immersed boundary method for fluid???structure interaction with low density ratio of solid to fluid, Journal of Computational Physics, vol.359, pp.296-311, 2018.
DOI : 10.1016/j.jcp.2017.12.045

M. Landajuela, M. Vidrascu, D. Chapelle, and M. A. Fernández, Coupling schemes for the FSI forward prediction challenge: Comparative study and validation, International Journal for Numerical Methods in Biomedical Engineering, vol.301, issue.45-46, pp.33-2813, 2017.
DOI : 10.1016/j.cma.2015.12.015

URL : https://hal.archives-ouvertes.fr/hal-01239931

P. , L. Tallec, and J. Mouro, Fluid structure interaction with large structural displacements, Comput. Meth. Appl. Mech. Engrg, vol.190, pp.3039-3067, 2001.

A. Legay, J. Chessa, and T. Belytschko, An Eulerian???Lagrangian method for fluid???structure interaction based on level sets, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.17-18, pp.2070-2087, 2006.
DOI : 10.1016/j.cma.2005.02.025

A. Patel, Lagrange multiplier method with penalty for elliptic and parabolic interface problems, Journal of Applied Mathematics and Computing, vol.43, issue.6, pp.37-56, 2011.
DOI : 10.1137/040605357

C. Peskin, The immersed boundary method, Acta Numer, vol.11, pp.479-517, 2002.

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.33, issue.06, pp.957-983, 2007.
DOI : 10.1016/j.cma.2005.05.050

T. Sawada and A. Tezuka, LLM and X-FEM based interface modeling of fluid???thin structure interactions on a non-interface-fitted mesh, Computational Mechanics, vol.408, issue.EM3, pp.319-332, 2011.
DOI : 10.1038/35048530

R. Scholz, Numerical solution of the obstacle problem by the penalty method, Computing, pp.32-297, 1984.
DOI : 10.1007/bf01389628

T. Tezduyar, Stabilized Finite Element Formulations for Incompressible Flow Computations, Advances in applied mechanics, pp.1-44, 1992.
DOI : 10.1016/S0065-2156(08)70153-4

V. Thomée, Galerkin finite element methods for parabolic problems, of Springer Series in Computational Mathematics, 2006.
DOI : 10.1007/978-3-662-03359-3

E. H. Van-brummelen, Added Mass Effects of Compressible and Incompressible Flows in Fluid-Structure Interaction, Journal of Applied Mechanics, vol.195, issue.2, pp.21206-21213, 2009.
DOI : 10.1137/S1064827503431430

T. Wick, Flapping and contact FSI computations with the fluid???solid interface-tracking/interface-capturing technique and mesh adaptivity, Computational Mechanics, vol.227, issue.6, pp.29-43, 2014.
DOI : 10.1016/j.jcp.2007.11.019

A. Zilian and A. Legay, The enriched space???time finite element method (EST) for simultaneous solution of fluid???structure interaction, International Journal for Numerical Methods in Engineering, vol.90, issue.3, pp.75-305, 2008.
DOI : 10.1002/nme.2258

URL : https://hal.archives-ouvertes.fr/hal-01371129