E. Steven and . Benzley, A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis, Proceedings, 4th International Meshing Roundtable, pp.179-191, 1995.

E. Burman, S. Claus, P. Hansbo, G. Mats, A. Larson et al., CutFEM: Discretizing geometry and partial differential equations, International Journal for Numerical Methods in Engineering, vol.128, issue.1, pp.472-501, 2015.
DOI : 10.1007/978-3-642-28589-9_7

URL : http://umu.diva-portal.org/smash/get/diva2:872311/FULLTEXT01

S. Cotin, H. Delingette, and N. Ayache, Real-time elastic deformations of soft tissues for surgery simulation, IEEE Transactions on Visualization and Computer Graphics, vol.5, issue.1, pp.62-73, 1999.
DOI : 10.1109/2945.764872

URL : https://hal.archives-ouvertes.fr/inria-00073173

F. Faure, SOFA: A Multi-Model Framework for Interactive Physical Simulation, 2012.
DOI : 10.1007/8415_2012_125

URL : https://hal.archives-ouvertes.fr/hal-00681539

C. Geuzaine, 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, 2009.
DOI : 10.1007/978-3-642-59223-2

W. Hackbusch and S. A. Sauter, Composite finite elements for the approximation of PDEs on domains with complicated micro-structures, Numerische Mathematik, vol.75, issue.4, pp.447-472, 1997.
DOI : 10.1007/s002110050248

S. Ji, C. James, . Ford, M. Richard, and . Greenwald, Automated subject-specific, hexahedral mesh generation via image registration. Finite Elements in Analysis and Design, pp.471178-1185, 2011.
DOI : 10.1016/j.finel.2011.05.007

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3124828

D. Vladimir and . Liseikin, Grid generation methods, 2009.

A. Massing, G. Mats, A. Larson, and . Logg, Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions, SIAM Journal on Scientific Computing, vol.35, issue.1, pp.23-47, 2013.
DOI : 10.1137/11085949X

K. Miller, Constitutive model of brain tissue suitable for finite element analysis of surgical procedures, Journal of Biomechanics, vol.32, issue.5, pp.531-537, 1999.
DOI : 10.1016/S0021-9290(99)00010-X

B. Mirtich, Fast and accurate computation of polyhedral mass properties. journal of graphics tools, pp.31-50, 1996.
DOI : 10.1201/b10628-17

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.127

J. Nitsche, ¨ Uber ein variationsprinzip zur lösung von dirichlet-problemen bei verwendung von teilräumen, die keinen randbedingungen unterworfen sind, pp.9-15
DOI : 10.1007/bf02995904

J. Steven and . Owen, A survey of unstructured mesh generation technology, 1998.

J. Parvizian, A. Düster, and E. Rank, Finite cell method, Computational Mechanics, vol.219, issue.4???6, pp.121-133, 2007.
DOI : 10.1007/s00466-007-0173-y

J. Christoph and . Paulus, Handling topological changes during elastic registration, 2016.

S. Charles and . Peskin, Flow patterns around heart valves: a numerical method, Journal of computational physics, vol.10, issue.2, pp.252-271, 1972.

S. Charles and . Peskin, The immersed boundary method, Acta numerica, vol.11, pp.479-517, 2002.

D. Peterseim, A. Stefan, and . Sauter, The Composite Mini Element???Coarse Mesh Computation of Stokes Flows on Complicated Domains, SIAM Journal on Numerical Analysis, vol.46, issue.6, pp.3181-3206, 2008.
DOI : 10.1137/070704356

M. Rech, A. Sauter, and . Smolianski, Two-scale composite finite element method for Dirichlet problems on complicated domains, Numerische Mathematik, vol.102, issue.4, pp.681-708, 2006.
DOI : 10.1007/s00211-005-0654-x

URL : http://www.zora.uzh.ch/id/eprint/21637/1/ZORA-21637V.pdf

T. Rüberg, F. Cirak, and J. Aznar, An unstructured immersed finite element method for nonlinear solid mechanics, Advanced Modeling and Simulation in Engineering Sciences, vol.249, issue.4, p.22, 2016.
DOI : 10.1016/j.cma.2012.03.028

P. Wriggers, Nonlinear finite element methods, 2008.