D. Barthès, Motion and Deformation of Elastic Capsules and Vesicles in Flow, Annual Review of Fluid Mechanics, vol.48, issue.1, pp.25-52, 2016.
DOI : 10.1146/annurev-fluid-122414-034345

D. Barths-biesel, A. Diaz, and E. Dhenin, Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation, Journal of Fluid Mechanics, vol.460, p.211222, 2002.
DOI : 10.1017/S0022112002008352

D. Barths-biesel and J. M. Rallison, The time-dependent deformation of a capsule freely suspended in a linear shear flow, Journal of Fluid Mechanics, vol.17, issue.-1, p.251267, 1981.
DOI : 10.1017/S0022112070001696

A. Thierry-biben, C. Farutin, and . Misbah, Three-dimensional vesicles under shear flow: Numerical study of dynamics and phase diagram, Physical Review E, vol.28, issue.3, p.31921, 2011.
DOI : 10.1140/epje/e2007-00029-6

G. Boedec, M. Leonetti, and M. Jaeger, 3D vesicle dynamics simulations with a linearly triangulated surface, Journal of Computational Physics, vol.230, issue.4, pp.1020-1034, 2011.
DOI : 10.1016/j.jcp.2010.10.021
URL : https://hal.archives-ouvertes.fr/hal-00717365

G. Boedec, M. Leonetti, and M. Jaeger, Mechanics of a helfrich membrane as a two-dimensional cosserat medium. in preparation, 2016.

G. Boedec, M. Jaeger, and M. Leonetti, Sedimentation-induced tether on a settling vesicle, Physical Review E, vol.88, issue.1, p.10702, 2013.
DOI : 10.1017/S0022112090001203
URL : https://hal.archives-ouvertes.fr/hal-00997686

F. Cirak, M. Ortiz, and P. Schröder, Subdivision surfaces: a new paradigm for thin-shell finite-element analysis, International Journal for Numerical Methods in Engineering, vol.18, issue.12, pp.472039-2072, 2000.
DOI : 10.1002/nme.1620180711
URL : http://multires.caltech.edu/pubs/thinshell.pdf

V. Cristini, J. Bawzdziewicz, and M. Loewenberg, An Adaptive Mesh Algorithm for Evolving Surfaces: Simulations of Drop Breakup and Coalescence, Journal of Computational Physics, vol.168, issue.2, pp.445-463, 2001.
DOI : 10.1006/jcph.2001.6713

J. B. Dahl, V. Narsimhan, B. Gouveia, S. Kumar, E. S. Shaqfeh et al., Experimental observation of the asymmetric instability of intermediate-reduced-volume vesicles in extensional flow, Soft Matter, vol.767, issue.16, pp.3787-3796, 2016.
DOI : 10.1017/jfm.2015.69

T. Davis, Algorithm 832, ACM Transactions on Mathematical Software, vol.30, issue.2, pp.196-199, 2004.
DOI : 10.1145/992200.992206

T. Davis, Direct Methods for Sparse Linear Systems, 2006.
DOI : 10.1137/1.9780898718881

C. De-loubens, J. Deschamps, G. Boedec, and M. Leonetti, Stretching of capsules in an elongation flow, a route to constitutive law, Journal of Fluid Mechanics, vol.10, issue.3, p.2015
DOI : 10.1039/c4sm00349g
URL : https://hal.archives-ouvertes.fr/hal-01315786

C. De-loubens, J. Deschamps, F. Edwards-levy, and M. Leonetti, Tank-treading of microcapsules in shear flow, Journal of Fluid Mechanics, vol.18, 2016.
DOI : 10.1017/jfm.2011.108
URL : https://hal.archives-ouvertes.fr/hal-01286898

J. Deschamps, V. Kantsler, and V. Steinberg, Phase Diagram of Single Vesicle Dynamical States in Shear Flow, Physical Review Letters, vol.102, issue.11, p.118105, 2009.
DOI : 10.1007/978-94-009-8352-6
URL : https://hal.archives-ouvertes.fr/hal-00437390

W. R. Dodson and P. Dimitrakopoulos, Dynamics of strain-hardening and strain-softening capsules in strong planar extensional flows via an interfacial spectral boundary element algorithm for elastic membranes, Journal of Fluid Mechanics, vol.281, issue.12, pp.263-296, 2009.
DOI : 10.1017/S0022112072001910

A. Farutin, T. Biben, and C. Misbah, 3D numerical simulations of vesicle and inextensible capsule dynamics, Journal of Computational Physics, vol.275, issue.0, pp.539-568, 2014.
DOI : 10.1016/j.jcp.2014.07.008
URL : https://hal.archives-ouvertes.fr/hal-00841996

A. Farutin and C. Misbah, Exact singularity subtraction from boundary integral equations in modeling vesicles and red blood cells, Numerical Mathematics: Theory, Methods Applications, vol.7, pp.413-434, 2014.

E. Fehlberg, Low-order classical runge-kutta formulas with step size control and their application to some heat transfer problems, 1969.

F. Feng, W. S. Klug, ´. E. Foessel, J. Walter, A. Salsac et al., Finite element modeling of lipid bilayer membranes Influence of internal viscosity on the large deformation and buckling of a spherical capsule in a simple shear flow, J. Comput. Phys. Journal of Fluid Mechanics, vol.22023, issue.4, pp.394-408477, 2006.

J. B. Freund, Numerical Simulation of Flowing Blood Cells, Annual Review of Fluid Mechanics, vol.46, issue.1, pp.67-95, 2014.
DOI : 10.1146/annurev-fluid-010313-141349

J. Gounley, G. Boedec, M. Jaeger, and M. Leonetti, Influence of surface viscosity on droplets in??shear flow, Journal of Fluid Mechanics, vol.82, issue.3, pp.464-494
DOI : 10.1016/j.jcp.2010.10.021
URL : https://hal.archives-ouvertes.fr/hal-01281643

L. Heltai, M. Arroyo, and A. Desimone, Nonsingular isogeometric boundary element method for Stokes flows in 3D, Computer Methods in Applied Mechanics and Engineering, vol.268, issue.0, pp.514-539, 2014.
DOI : 10.1016/j.cma.2013.09.017
URL : http://upcommons.upc.edu/bitstream/2117/28558/1/2014-CMAME-HAdS-blanc.pdf

W. Huang, C. B. Chang, and H. J. Sung, Three-dimensional simulation of elastic capsules in shear flow by the penalty immersed boundary method, Journal of Computational Physics, vol.231, issue.8, pp.2313340-3364, 2012.
DOI : 10.1016/j.jcp.2012.01.006

T. J. Hughes, J. A. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.4135-4195, 2005.
DOI : 10.1016/j.cma.2004.10.008
URL : https://hal.archives-ouvertes.fr/hal-01513346

A. A. Joneidi, C. V. Verhoosel, and P. D. Anderson, Isogeometric boundary integral analysis of drops and inextensible membranes in isoviscous flow, Computers & Fluids, vol.109, pp.49-66, 2015.
DOI : 10.1016/j.compfluid.2014.12.011

D. A. Knoll and D. E. Keyes, Jacobian-free Newton???Krylov methods: a survey of approaches and applications, Journal of Computational Physics, vol.193, issue.2, pp.357-397, 2004.
DOI : 10.1016/j.jcp.2003.08.010

D. Le, Subdivision elements for large deformation of liquid capsules enclosed by thin shells, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.37-40, pp.2622-2632, 2010.
DOI : 10.1016/j.cma.2010.04.014

D. Le and S. Wong, A front-tracking method with Catmull???Clark subdivision surfaces for studying liquid capsules enclosed by thin shells in shear flow, Journal of Computational Physics, vol.230, issue.9, pp.3538-3555, 2011.
DOI : 10.1016/j.jcp.2011.01.047

X. Li, P. M. Vlahovska, and G. E. Karniadakis, Continuum- and particle-based modeling of shapes and dynamics of red blood cells in health and disease, Soft Matter, vol.12, issue.1, pp.28-37, 2013.
DOI : 10.1146/annurev-bioeng-070909-105339

M. Loewenberg and E. J. Hinch, Numerical simulation of a concentrated emulsion in shear flow, Journal of Fluid Mechanics, vol.118, issue.-1, pp.395-419, 1996.
DOI : 10.1017/S0022112093000138

C. Teorell and L. , Smooth subdivision surfaces based on triangles, 1987.

L. Ma and W. S. Klug, Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics, Journal of Computational Physics, vol.227, issue.11, pp.5816-5835, 2008.
DOI : 10.1016/j.jcp.2008.02.019
URL : http://arxiv.org/pdf/0709.0723

S. Mendez, E. Gibaud, and F. Nicoud, An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers, Journal of Computational Physics, vol.256, pp.465-483, 2014.
DOI : 10.1016/j.jcp.2013.08.061
URL : https://hal.archives-ouvertes.fr/hal-00871557

C. Misbah, Vacillating Breathing and Tumbling of Vesicles under Shear Flow, Physical Review Letters, vol.34, issue.27, p.28104, 2006.
DOI : 10.1002/andp.19113390313

P. M. Naghdi, The Theory of Shells and Plates, pp.425-640, 1973.
DOI : 10.1007/978-3-662-39776-3_5

V. Narsimhan, A. P. Spann, and E. S. Shaqfeh, The mechanism of shape instability for a vesicle in extensional flow, Journal of Fluid Mechanics, vol.13, p.144190, 2014.
DOI : 10.1063/1.4869307

C. Pozrikidis, Boundary integral and singularity methods for linearized viscous flow, 1992.
DOI : 10.1017/CBO9780511624124

C. Pozrikidis, Effect of membrane bending stiffness on the deformation of capsules in simple shear flow, Journal of Fluid Mechanics, vol.440, p.269291, 2001.
DOI : 10.1017/S0022112001004657

C. Pozrikidis, Interfacial Dynamics for Stokes Flow, Journal of Computational Physics, vol.169, issue.2, pp.250-301, 2001.
DOI : 10.1006/jcph.2000.6582
URL : http://ccvweb.csres.utexas.edu/collections/papers/bubbles/references/Interfacial.Dynamics.for.Stokes.Flow.pdf

B. Quaife and G. Biros, Adaptive time stepping for vesicle suspensions, Journal of Computational Physics, vol.306, pp.478-499, 2016.
DOI : 10.1016/j.jcp.2015.11.050
URL : https://manuscript.elsevier.com/S0021999115007901/pdf/S0021999115007901.pdf

A. Rahimian, S. K. Veerapaneni, D. Zorin, and G. Biros, Boundary integral method for the flow of vesicles with viscosity contrast in three dimensions, Journal of Computational Physics, vol.298, issue.C, pp.766-786, 2015.
DOI : 10.1016/j.jcp.2015.06.017

Y. Saad, H. Martin, and . Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986.
DOI : 10.1137/0907058
URL : http://www.stat.uchicago.edu/~lekheng/courses/324/saad-schultz.pdf

R. Skalak, R. Tozeren, S. Zarda, and . Chien, Strain Energy Function of Red Blood Cell Membranes, Biophysical Journal, vol.13, issue.3, 1973.
DOI : 10.1016/S0006-3495(73)85983-1
URL : https://doi.org/10.1016/s0006-3495(73)85983-1

A. P. Spann, H. Zhao, and E. S. Shaqfeh, Loop subdivision surface boundary integral method simulations of vesicles at low reduced volume ratio in shear and extensional flow, Physics of Fluids, vol.26, issue.3, p.2014
DOI : 10.1103/PhysRevLett.98.088104

J. Stam, Evaluation of loop subdivision surfaces, SIGGRAPH'99 Course Notes, 1999.

R. Trozzo, G. Boedec, M. Leonetti, and M. Jaeger, Axisymmetric Boundary Element Method for vesicles in a capillary, Journal of Computational Physics, vol.289, pp.62-82, 2015.
DOI : 10.1016/j.jcp.2015.02.022
URL : https://hal.archives-ouvertes.fr/hal-01281961

K. Shravan, A. Veerapaneni, G. Rahimian, D. Biros, and . Zorin, A fast algorithm for simulating vesicle flows in three dimensions, Journal of Computational Physics, vol.230, issue.14, pp.5610-5634, 2011.

M. Petia, T. Vlahovska, C. Podgorski, and . Misbah, Vesicles and red blood cells in flow: From individual dynamics to rheology, Comptes Rendus Physique, vol.10, issue.8, pp.775-789, 2009.

J. Walter, A. Salsac, D. Barthès-biesel, and P. L. Tallec, Coupling of finite element and boundary integral methods for a capsule in a Stokes flow, International Journal for Numerical Methods in Engineering, vol.18, issue.8, pp.829-850, 2010.
DOI : 10.1063/1.2337572
URL : https://hal.archives-ouvertes.fr/hal-00542306

C. Wang, B. C. Khoo, and K. S. Yeo, Elastic mesh technique for 3D BIM simulation with an application to underwater explosion bubble dynamics, Computers & Fluids, vol.32, issue.9, pp.1195-1212, 2003.
DOI : 10.1016/S0045-7930(02)00105-6

A. Yazdani and P. Bagchi, Three-dimensional numerical simulation of vesicle dynamics using a front-tracking method, Physical Review E, vol.28, issue.5, p.56308, 2012.
DOI : 10.1103/PhysRevLett.99.178102
URL : https://link.aps.org/accepted/10.1103/PhysRevE.85.056308

H. Zhao, H. G. Amir, L. N. Isfahani, J. B. Olson, and . Freund, A spectral boundary integral method for flowing blood cells, Journal of Computational Physics, vol.229, issue.10, pp.3726-3744, 2010.
DOI : 10.1016/j.jcp.2010.01.024

H. Zhao and E. S. Shaqfeh, The dynamics of a vesicle in simple shear flow, Journal of Fluid Mechanics, vol.28, issue.5, pp.578-604
DOI : 10.1515/znc-1973-11-1209

H. Zhao and E. S. Shaqfeh, The shape stability of a lipid vesicle in a uniaxial extensional flow, Journal of Fluid Mechanics, vol.19, p.345361, 2013.
DOI : 10.1103/PhysRevE.81.061904

H. Zhao, A. P. Spann, and E. S. Shaqfeh, The dynamics of a vesicle in a wall-bound shear flow, Physics of Fluids, vol.23, issue.12, 2011.
DOI : 10.1017/S002211209600777X

Z. Alexander, R. H. Zinchenko, and . Davis, Emulsion flow through a packed bed with multiple drop breakup, Journal of Fluid Mechanics, vol.725, p.611663, 2013.

A. Z. Zinchenko, M. A. Rother, and R. H. Davis, A novel boundary-integral algorithm for viscous interaction of deformable drops, Physics of Fluids, vol.11, issue.6, pp.1493-1511, 1997.
DOI : 10.1017/S0022112095003260