Robin based semi-implicit coupling in fluidstructure interaction: stability analysis and numerics, SIAM J. Sci. Comput, issue.6, pp.314041-4065, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00361284
Fluid???structure interaction and multi-body contact: Application to aortic valves, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.45-46, pp.45-463603, 2009. ,
DOI : 10.1016/j.cma.2008.09.012
URL : https://hal.archives-ouvertes.fr/inria-00300770
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
Modular vs. non-modular preconditioners for fluidstructure systems with large added-mass effect, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.49-504216, 2008. ,
Coupling Biot and Navier???Stokes equations for modelling fluid???poroelastic media interaction, Journal of Computational Physics, vol.228, issue.21, pp.7986-8014, 2009. ,
DOI : 10.1016/j.jcp.2009.07.019
Stabilization of explicit coupling in fluid???structure interaction involving fluid incompressibility, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.5-8, 2009. ,
DOI : 10.1016/j.cma.2008.10.012
URL : https://hal.archives-ouvertes.fr/inria-00247409
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/inria-00071499
A poroelastic model valid in large strains with applications to perfusion in cardiac modeling, Computational Mechanics, vol.130, issue.5, pp.91-101, 2009. ,
DOI : 10.1007/s00466-009-0452-x
URL : https://hal.archives-ouvertes.fr/hal-00592688
General coupling of porous flows and hyperelastic formulations???From thermodynamics principles to energy balance and compatible time schemes, European Journal of Mechanics - B/Fluids, vol.46, pp.82-96, 2014. ,
DOI : 10.1016/j.euromechflu.2014.02.009
URL : https://hal.archives-ouvertes.fr/inria-00520612
A numerical method for solving incompressible viscous flow problems, Journal of Computational Physics, vol.2, issue.1, pp.12-26, 1967. ,
DOI : 10.1016/0021-9991(67)90037-X
Mathematical Elasticity, Volume I: Three-Dimensional Elasticity, 1988. ,
Trends in Continuum Mechanics of Porous Media, 2005. ,
DOI : 10.1007/1-4020-3144-0
An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982. ,
DOI : 10.1016/0045-7825(82)90128-1
The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids, Journal of Computational Physics, vol.174, issue.2, pp.669-694, 2001. ,
DOI : 10.1006/jcph.2001.6932
Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.95-114, 1998. ,
DOI : 10.1016/S0045-7825(97)00216-8
Partitioned analysis of coupled mechanical systems, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.24-253247, 2001. ,
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
Cardiovascular Mathematics: Modeling and Simulation of the Circulatory System, 2010. ,
DOI : 10.1007/978-88-470-1152-6
A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows, ESAIM: M2AN, pp.631-647, 2003. ,
DOI : 10.1051/m2an:2003049
URL : https://hal.archives-ouvertes.fr/hal-00694625
Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.13-14, pp.13-141763, 2000. ,
DOI : 10.1016/S0045-7825(00)00189-4
URL : https://hal.archives-ouvertes.fr/hal-01363585
An overview of projection methods for incompressible flows, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.44-47, pp.44-476011, 2006. ,
DOI : 10.1016/j.cma.2005.10.010
On the significance of the geometric conservation law for flow computations on moving meshes, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.11-12, pp.1467-1482, 2000. ,
DOI : 10.1016/S0045-7825(00)00173-0
URL : https://hal.archives-ouvertes.fr/hal-00871722
Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.37-40, pp.37-404890, 2006. ,
DOI : 10.1016/j.cma.2005.11.005
URL : https://hal.archives-ouvertes.fr/hal-00111458
New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-265, 2012. ,
DOI : 10.1515/jnum-2012-0013
Solvers for large-displacement fluid???structure interaction problems: segregated versus monolithic approaches, Computational Mechanics, vol.22, issue.1, pp.91-101, 2008. ,
DOI : 10.1007/s00466-008-0270-6
Coupling strategies for biomedical fluid-structure interaction problems, International Journal for Numerical Methods in Biomedical Engineering, vol.10, issue.4, pp.3-4305, 2010. ,
DOI : 10.1002/cnm.1281
Fixed-point fluid???structure interaction solvers with dynamic relaxation, Computational Mechanics, vol.35, issue.6???8, pp.61-72, 2008. ,
DOI : 10.1007/s00466-008-0255-5
Vascular fluid-structure-interaction using Fluent and Abaqus software, Journal of Biomechanics, vol.39, p.440, 2006. ,
DOI : 10.1016/S0021-9290(06)84797-4
Numerical methods for nonlinear three-dimensional elasticity, Handbook of Numerical Analysis, 1994. ,
DOI : 10.1016/S1570-8659(05)80018-3
Energy conservation in fluid structure interactions, Numerical Methods for Scientific Computing / Variational Problems and Applications ? CIMNE Barcelona, 2003. ,
Fluid structure interaction with large structural displacements, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.24-253039, 2001. ,
Comparison of monolithic and splitting solution schemes for dynamic porous media problems, International Journal for Numerical Methods in Engineering, vol.25, issue.3, pp.1341-1383, 2010. ,
DOI : 10.1002/nme.2789
Partitioned but strongly coupled iteration schemes for nonlinear fluid???structure interaction, Computers & Structures, vol.80, issue.27-30, pp.1991-1999, 2002. ,
DOI : 10.1016/S0045-7949(02)00259-6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.609.1931
Numerical approximation of fluid-structure interaction problems with application to haemodynamics, 2001. ,
A Stability Analysis for the Arbitrary Lagrangian-Eulerian Formulation with Finite Elements, East-West Journal of Numerical Mathematics, vol.7, issue.2, pp.105-131, 1999. ,
Une méthode d'approximation de la solution deséquationsdeséquations de Navier-Stokes, Bull. Soc. Math. France, vol.96, pp.115-152, 1968. ,
Geometric Conservation Law and Its Application to Flow Computations on Moving Grids, AIAA Journal, vol.17, issue.10, pp.1030-1037, 1979. ,
DOI : 10.2514/3.61273
A general approach for modeling interacting flow through porous media under finite deformations, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.1240-1259, 2015. ,
DOI : 10.1016/j.cma.2014.08.018