K. J. Bathe, Finite element procedures. Klaus-Jurgen Bathe, 2006.

X. C. Cai and M. Sarkis, A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM Journal on Scientific Computing, vol.21, pp.239-247, 1999.

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

V. Dolean, P. Jolivet, and F. Nataf, An introduction to domain decomposition methods, algorithms, theory, and parallel implementation, 2015.
URL : https://hal.archives-ouvertes.fr/cel-01100932

C. Geuzaine and J. F. Remacle, Gmsh: A 3-d finite element mesh generator with built-in pre-and post-processing facilities, International journal for numerical methods in engineering, vol.79, issue.11, pp.1309-1331, 2009.

R. Haferssas, P. Jolivet, and F. Nataf, An additive schwarz method type theory for lions's algorithm and a symmetrized optimized restricted additive schwarz method, SIAM Journal on Scientific Computing, vol.39, issue.4, pp.1345-1365, 2017.

F. Hecht, New development in FreeFem++, J. Numer. Math, vol.20, issue.3-4, pp.251-265, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01476313

V. E. Henson and U. M. Yang, BoomerAMG: A parallel algebraic multigrid solver and preconditioner, Applied Numerical Mathematics, vol.41, issue.1, pp.155-177, 2002.

G. R. Joldes, A. Wittek, and K. Miller, Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation, Medical Image Analysis, vol.13, issue.6, pp.912-919, 2009.

P. Jolivet, F. Hecht, F. Nataf, and C. Prud'homme, Scalable domain decomposition preconditioners for heterogeneous elliptic problems, Proceedings of the 2013 ACM/IEEE conference on Supercomputing, vol.80, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00939957

G. Karypis and V. Kumar, METIS: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices, 1998.

A. Klawonn, M. Lanser, and O. Rheinbach, Nonlinear feti-dp and bddc methods, SIAM Journal on Scientific Computing, vol.36, issue.2, pp.737-765, 2014.

K. Miller, G. Joldes, D. Lance, and A. Wittek, Total lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation. Communications in numerical, methods in engineering, vol.23, issue.2, pp.121-134, 2007.

G. Picinbono, H. Delingette, and N. Ayache, Real-time large displacement elasticity for surgery simulation: Non-linear tensor-mass model, International Conference on Medical Image Computing and Computer-Assisted Intervention, pp.643-652, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00615861

Y. Saad, Iterative Methods for Sparse Linear Systems, 1996.

O. Schenk, K. Gärtner, and W. Fichtner, Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors, BIT Numerical Mathematics, vol.40, issue.1, pp.158-176, 2000.

N. Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechstein et al., Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps, Numer. Math, vol.126, issue.4, pp.741-770, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01405538

H. Sundar, G. Biros, C. Burstedde, J. Rudi, O. Ghattas et al., Parallel geometric-algebraic multigrid on unstructured forests of octrees, Proceedings of the 2012 ACM/IEEE conference on Supercomputing, vol.12, 2012.

A. Toselli and O. Widlund, Domain Decomposition Methods -Algorithms and Theory, Springer Series in Computational Mathematics, vol.34, 2005.