F. Alauzet, B. Fabrèges, M. A. Fernández, and M. Landajuela, Nitsche-XFEM for the 672 coupling of an incompressible fluid with immersed thin-walled structures, Comput. Meth-673 ods Appl. Mech. Engrg, vol.301, pp.300-335, 2016.

M. Annese, Time integration schemes for fluid-structure interaction problems: Non-fitted 675

, FEMs for immersed thin structures, p.676, 2017.

M. Astorino, J. Gerbeau, O. Pantz, and K. Traoré, Fluid-structure interaction and 677 multi-body contact: Application to aortic valves, Comput. Methods Appl. Mech. Engrg, vol.678, pp.3603-3612, 2009.

F. Baaijens, A fictitious domain/mortar element method for fluid-structure interaction

, J. Numer. Methods Fluids, vol.35, pp.743-761, 2001.

S. Badia, A. Quaini, and A. Quarteroni, Splitting methods based on algebraic factorization 682 for fluid-structure interaction, SIAM J. Sci. Comput, vol.30, pp.1778-1805, 2008.

J. Banks, W. Henshaw, and D. Schwendeman, An analysis of a new stable partitioned 684 algorithm for FSI problems. Part II: Incompressible flow and structural shells, J. Comput

. Phys, , vol.268, pp.399-416, 2014.

K. Bathe, Finite Element Procedures, p.687, 1996.

F. Bertrand, P. A. Tanguy, and F. Thibault, A three-dimensional fictitious domain 688 method for incompressible fluid flow problems, Int. J. Numer. Methods Fluids, vol.25, pp.719-736, 1997.
DOI : 10.1002/(sici)1097-0363(19970930)25:6<719::aid-fld585>3.0.co;2-k

D. Boffi, N. Cavallini, and L. Gastaldi, Finite element approach to immersed boundary 691 method with different fluid and solid densities, Math. Models Methods Appl. Sci, vol.21, pp.692-2523, 2011.

D. Boffi, N. Cavallini, and L. Gastaldi, The finite element immersed boundary method 694 with distributed Lagrange multiplier, SIAM J. Numer. Anal, vol.53, pp.2584-2604, 2015.

D. Boffi and L. Gastaldi, A fictitious domain approach with lagrange multiplier for fluid-696 structure interactions, Numer. Math, vol.135, pp.711-732, 2017.
DOI : 10.1007/s00211-016-0814-1

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

L. Boilevin-kayl, M. A. Fernández, and J. Gerbeau, Numerical methods for immersed 698 FSI with thin-walled structures, Comput. Fluids, 2018.
DOI : 10.1016/j.compfluid.2018.05.024

URL : https://hal.inria.fr/hal-01704575/file/RR-9151.pdf

M. Bukac, C. Canic, R. Glowinski, T. Tambaca, and A. Quaini, Fluid-structure interaction 701 in blood flow capturing non-zero longitudinal structure displacement, J. Comp. Phys, vol.235, pp.515-541, 2013.

E. Burman and M. A. Fernández, Stabilization of explicit coupling in fluid-structure interac-704 tion involving fluid incompressibility, Comput. Methods Appl. Mech. Engrg, vol.198, pp.705-766, 2009.

E. Burman and M. A. Fernández, An unfitted Nitsche method for incompressible fluid-707 structure interaction using overlapping meshes, Comput. Methods Appl. Mech. Engrg, vol.708, pp.497-514, 2014.
DOI : 10.1016/j.cma.2014.07.007

URL : https://doi.org/10.1016/j.cma.2014.07.007

H. Casquero, C. Bona-casas, and H. Gomez, NURBS-based numerical proxies for red blood 710 cells and circulating tumor cells in microscale blood flow, Comput. Methods Appl. Mech
DOI : 10.1016/j.cma.2016.09.031

. Engrg, , pp.646-667, 2017.

P. Causin, J. Gerbeau, and F. Nobile, Added-mass effect in the design of partitioned 713 algorithms for fluid-structure problems, Comput. Methods Appl. Mech. Engrg, vol.194, pp.714-4506, 2005.

N. Diniz, J. Santos, J. Gerbeau, and . Bourgat, A partitioned fluid-structure al-716 gorithm for elastic thin valves with contact, Comput. Methods Appl. Mech. Engrg, vol.197, pp.1750-1761, 2008.

B. Fabrèges and B. Maury, Approximation of single layer distributions by dirac masses in 719 finite element computations, J. Sci. Comput, vol.58, pp.25-40, 2014.

M. A. Fernández, Incremental displacement-correction schemes for incompressible fluid-721 structure interaction: stability and convergence analysis, Numer. Math, vol.123, pp.722-743, 2013.

M. A. Fernández, J. Gerbeau, and C. Grandmont, A projection semi-implicit scheme for 724 the coupling of an elastic structure with an incompressible fluid, Int. J. Numer. Methods 725 Engrg, vol.69, pp.794-821, 2007.

M. A. Fernández and M. Landajuela, Splitting schemes for incompressible fluid/thin-walled 727 structure interaction with unfitted meshes, C. R. Math. Acad. Sci. Paris, vol.353, pp.647-652, 2015.

M. A. Fernández, M. Landajuela, and M. Vidrascu, Fully decoupled time-marching 730 schemes for incompressible fluid/thin-walled structure interaction, J. Comput. Phys, vol.297, pp.156-181, 2015.

M. A. Fernández and J. Mullaert, Convergence and error analysis for a class of split-733 ting schemes in incompressible fluid-structure interaction, J. Numer. Anal, vol.36, pp.734-1748, 2016.

M. A. Fernández, J. Mullaert, and M. Vidrascu, Explicit Robin-Neumann schemes for 736 the coupling of incompressible fluids with thin-walled structures, Comput. Methods Appl

, Mech. Engrg, vol.267, pp.566-593, 2013.

M. A. Fernández, J. Mullaert, and M. Vidrascu, Generalized Robin-Neumann explicit 739 coupling schemes for incompressible fluid-structure interaction: Stability analysis and 740 numerics, Int. J. Numer. Methods Engrg, vol.101, pp.199-229, 2015.

C. Förster, W. Wall, and E. Ramm, Artificial added mass instabilities in sequential staggered 742 coupling of nonlinear structures and incompressible viscous flows, Comput. Methods Appl

, Mech. Engrg, vol.196, pp.1278-1293, 2007.

A. Gerstenberger and W. Wall, An extended finite element method/Lagrange multiplier 745 based approach for fluid-structure interaction, Comput. Methods Appl. Mech. Engrg, vol.197, pp.1699-1714, 2008.
DOI : 10.1016/j.cma.2007.07.002

A. J. Gil, A. Carreño, J. Bonet, and O. Hassan,

, tural Potential Method for fluid-structure interaction, J. Comput. Phys, vol.250, pp.749-178, 2013.

R. Glowinski, T. Pan, T. Hesla, and D. Joseph, A distributed Lagrange mutiplier/fictitious 751 domain method for particulate flows, Int. J. Multiphase Flow, vol.25, pp.755-794, 1999.

G. Guidoboni, R. Glowinski, N. Cavallini, and S. Canic, Stable loosely-coupled-type 753 algorithm for fluid-structure interaction in blood flow, J. Comp. Phys, vol.228, pp.754-6916, 2009.

C. Hesch, A. J. Gil, A. Carreño, and J. Bonet, On continuum immersed strategies 756 for Fluid-Structure Interaction, Comput. Methods Appl. Mech. Engrg, pp.757-51, 2012.

C. Kadapa, W. Dettmer, and D. Peri´cperi´c, A stabilised immersed framework on hierarchi-759

, cal b-spline grids for fluid-flexible structure interaction with solid-solid contact

, Methods Appl. Mech. Engrg, vol.335, pp.472-489, 2018.

D. Kamensky, M. Hsu, D. Schillinger, J. Evans, A. Aggarwal et al., An immersogeometric variational framework for fluid-structure interac-763 tion: Application to bioprosthetic heart valves, Comput. Methods Appl. Mech. Engrg, vol.284, pp.1005-1053, 2015.

D. Kamensky, Y. Hsu, M. Yu, E. J. , M. Sacks et al., Immersogeometric 766 cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines, p.767
DOI : 10.1016/j.cma.2016.07.028

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

, Comput. Methods Appl. Mech. Engrg, vol.314, pp.408-472, 2017.

F. B24-boilevin-kayl, A. Fern´andez, and . Gerbeau,

W. Kim, H. Lee, and I. Choi, A weak-coupling immersed boundary method for fluidstruc-769 ture interaction with low density ratio of solid to fluid, J. Comput. Phys, vol.359, pp.770-296, 2018.

M. Landajuela, M. Vidrascu, D. Chapelle, and M. A. Fernández, Coupling schemes for 772 the FSI forward predication challenge: Comparative study and validation, Int. J. Numer

, Methods Biomed. Engrg, vol.33, p.23, 2017.

M. Landajuela, M. Vidrascu, D. Chapelle, and M. A. Fernández, Coupling schemes for 775 the FSI forward prediction challenge: comparative study and validation, Int. J. Numer

, Methods Biomed. Engrg, vol.33, p.2813, 2017.

P. , L. Tallec, and J. Mouro, Fluid structure interaction with large structural displacements, p.778

, Comput. Methods Appl. Mech. Engrg, vol.190, pp.3039-3067, 2001.

A. Legay, J. Chessa, and T. Belytschko, An Eulerian-Lagrangian method for fluid-780 structure interaction based on level sets, Comput. Methods Appl. Mech. Engrg, vol.195, pp.781-2070, 2006.

F. Nobile and C. Vergara, An effective fluid-structure interaction formulation for vascular 783 dynamics by generalized Robin conditions, SIAM J. Sci. Comput, vol.30, pp.731-763, 2008.

A. Patel, Lagrange multiplier method with penalty for elliptic and parabolic interface problems, p.785

, J. Appl. Math. Comput, vol.37, pp.37-56, 2011.

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 788 on an algebraic fractional step method, Math. Models Methods Appl. Sci, vol.17, pp.789-957, 2007.

T. Sawada and A. Tezuka, LLM and X-FEM based interface modeling of fluid-thin structure 791 interactions on a non-interface-fitted mesh, Comput. Mech, vol.48, pp.319-332, 2011.

R. Scholz, Numerical solution of the obstacle problem by the penalty method, Computing, vol.32, pp.297-306, 1984.

T. Tezduyar, Stabilized finite element formulations for incompressible flow computations, 795 Advances in Applied Mechanics, vol.28, pp.1-44, 1992.

V. Thomée, Galerkin finite element methods for parabolic problems, Springer Series in Com-797 putational Mathematics 25, 2006.

E. Van-brummelen, Added mass effects of compressible and incompressible flows in fluid-799 structure interaction, J. Appl. Mech, vol.76, pp.21206-21213, 2009.

T. Wick, Flapping and contact FSI computations with the fluid-solid interface-801 tracking/interface-capturing technique and mesh adaptivity, Comput. Mech, vol.53, pp.29-43, 2014.

A. Zilian and A. Legay, The enriched space-time finite element method (EST) for simulta-804 neous solution of fluid-structure interaction, Int. J. Numer. Methods Engrg, vol.75, pp.305-334, 2008.