Robin based semi-implicit coupling in fluidstructure interaction: Stability analysis and numerics, SIAM J. Sci. Comp, issue.6, pp.314041-4065, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00361284
Efficient computational fluid dynamics mesh generation by image registration, Medical Image Analysis, vol.11, issue.6, pp.648-662, 2007. ,
DOI : 10.1016/j.media.2007.06.011
Registration based segment growing for vascular segmentation, 2012. ,
Patient-specific isogeometric fluid???structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.45-46, pp.45-463534, 2009. ,
DOI : 10.1016/j.cma.2009.04.015
Forward and inverse problems in fluid-structure interaction. Application to hemodynamics, 2012. ,
URL : https://hal.archives-ouvertes.fr/tel-00768188
Numerical solution of the Navier-Stokes equations, Mathematics of Computation, vol.22, issue.104, pp.745-762, 1968. ,
DOI : 10.1090/S0025-5718-1968-0242392-2
Theory and practice of finite elements, Applied Mathematical Sciences, vol.159, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit, SeMA Journal, vol.40, issue.12, pp.59-108, 2011. ,
DOI : 10.1007/BF03322593
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
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.41, issue.4, pp.743-769, 2007. ,
DOI : 10.1051/m2an:2007039
of Modeling, Simulation and Applications, Cardiovascular Mathematics. Modeling and simulation of the circulatory system, 2009. ,
Die Grundform des arteriellen Pulses, Zeitschrift für Biologie, vol.37, pp.483-526, 1899. ,
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.1309-1331, 2009. ,
DOI : 10.1002/nme.2579
Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions, SIAM Journal on Numerical Analysis, vol.43, issue.1, pp.239-258, 2005. ,
DOI : 10.1137/040604418
An overview of projection methods for incompressible flows On stability and convergence of projection methods based on pressure Poisson equation, Comput. Methods Appl. Mech. Engrg. Internat. J. Numer. Methods Fluids, vol.195, issue.269, pp.44-471039, 1998. ,
A concentrated parameter model for the human cardiovascular system including heart valve dynamics and atrioventricular interaction, Medical Engineering & Physics, vol.28, issue.7, pp.613-628, 2006. ,
DOI : 10.1016/j.medengphy.2005.10.004
Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows, International Journal for Numerical Methods in Biomedical Engineering, vol.18, issue.1-2, pp.2035-2057, 2011. ,
DOI : 10.1002/cnm.1457
A modular numerical method for implicit 0d/3d coupling in cardiovascular finite element simulations, Journal of Computational Physics, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00765816
External tissue support and fluid-structure simulation in blood flows, Biomech. Model. Mechanobiol, vol.11, pp.1-18, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00701801
Coupling between lumped and distributed models for blood flow problems, Computing and Visualization in Science, vol.4, issue.2, pp.111-124, 2001. ,
DOI : 10.1007/s007910100063
Review of Zero-D and 1-D Models of Blood Flow in the Cardiovascular System, BioMedical Engineering OnLine, vol.10, issue.1, p.33, 2011. ,
DOI : 10.1111/j.1525-1594.2008.00628.x
Sur l'approximation de la solution des equations de Navier-Stokes par la méthode des pas fractionaires I, Arch. Rational Mech. Anal, vol.32, pp.135-153, 1969. ,
Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries, Computer Methods in Biomechanics and Biomedical Engineering, vol.284, issue.5, pp.625-640, 2010. ,
DOI : 10.1016/0021-9290(69)90024-4
URL : https://hal.archives-ouvertes.fr/inria-00542731
12 3.2.3 Extension to higher order time-splitting schemes, p.14 ,