Y. Achdou and O. Pironneau, Computational methods for option pricing, Siam Frontiers in Applied Mathematics, 2005.
DOI : 10.1137/1.9780898717495
URL : https://hal.archives-ouvertes.fr/hal-00019751

A. Ammar, D. Ryckelynck, F. Chinesta, and R. Keunings, On the reduction of kinetic theory models related to finitely extensible dumbbells, Journal of Non-Newtonian Fluid Mechanics, vol.134, issue.1-3
DOI : 10.1016/j.jnnfm.2006.01.007
URL : https://hal.archives-ouvertes.fr/hal-01007150

A. Ammar, F. Chinesta, and D. Ryckelynck, Deterministic particle approach of multibead-spring polymer models, European Journal of Computational Mechanics

A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings, A fast solver for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids, Journal of Non-Newtonian Fluid Mechanics

A. Ammar, B. Mokdad, and F. Chinesta, A fast solver for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. Part 2: Transient simulation using space-time separated representations, Journal of Non-Newtonian Fluid Mechanics

A. Ammar, F. Chinesta, and D. Ryckelynck, Deterministic approach of the multi-beadspring polymer models, Proceedings of the 8th Esaform Conference on Material Forming
URL : https://hal.archives-ouvertes.fr/hal-00098290

I. Babu?ka and A. Aziz, On the Angle Condition in the Finite Element Method, SIAM Journal on Numerical Analysis, vol.13, issue.2, pp.214-227, 1976.
DOI : 10.1137/0713021

T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, and W. K. Liu, Smoothing and accelerated computations in the element free Galerkin method, Journal of Computational and Applied Mathematics, vol.74, issue.1-2, 1995.
DOI : 10.1016/0377-0427(96)00020-9

T. Belytschko, Y. Y. Lu, and L. Gu, Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, vol.95, issue.2, pp.229-256, 1994.
DOI : 10.1093/mnras/181.3.375

G. Beylkin and M. Mohlenkamp, Algorithms for Numerical Analysis in High Dimensions, SIAM Journal on Scientific Computing, vol.26, issue.6, pp.2133-2159, 2005.
DOI : 10.1137/040604959

H. J. Bungartz and M. , Sparse grids, Acta Numerica, vol.13, pp.1-123, 2004.

P. Chantrenne, Atomic scale simulations: use of molecular dynamics, Proceedings of the 9th Esaform Conference on Material Forming, pp.123-126, 2006.

C. V. Chaubal, A. Srinivasan, O. Egecioglu, and L. G. Leal, Smoothed particle hydrodynamics techniques for the solution of kinetic theory problems, Journal of Non-Newtonian Fluid Mechanics, vol.82, issue.1, pp.125-154, 1997.
DOI : 10.1016/S0377-0257(98)00126-8

C. Chauviere and A. Lozinski, Simulation of dilute polymer solutions using a Fokker???Planck equation, Computers & Fluids, vol.33, issue.5-6, pp.687-696, 2004.
DOI : 10.1016/j.compfluid.2003.02.002

J. S. Chen, C. M. Roque, C. H. Pan, and S. T. Button, Analysis of metal forming process based on meshless method, Journal of Materials Processing Technology, vol.80, issue.81, pp.642-646, 1998.
DOI : 10.1016/S0924-0136(98)00171-X

F. Chinesta, E. Cueto, P. Quintela, and J. Paredes, Induced anisotropy in foams forming processes: modelling and simulation, Journal of Materials Processing Technology, vol.155, issue.156, pp.1482-1488, 2004.
DOI : 10.1016/j.jmatprotec.2004.04.378
URL : https://hal.archives-ouvertes.fr/hal-00020809

F. Chinesta, . Ph, D. Lorong, M. A. Ryckelynck, E. Martinez et al., Thermomechanical Cutting Model Discretisation. Eulerian or Lagrangian, Mesh or Meshless?, International Journal of Forming Processes, vol.7, issue.1-2, pp.83-98, 2004.
DOI : 10.3166/ijfp.7.83-97
URL : https://hal.archives-ouvertes.fr/hal-00019240

E. Cueto, M. Doblaré, and L. Gracia, Imposing essential boundary conditions in the natural element method by means of density-scaled?-shapes, International Journal for Numerical Methods in Engineering, vol.17, issue.4, pp.49-4519, 2000.
DOI : 10.1016/1350-4533(95)91884-J

E. Cueto, The Natural Element Method for the simulation of forming processes. Plenary conference, Ninth ESAFORM conference on Material Forming, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01009031

E. Cueto, N. Sukumar, B. Calvo, M. A. Martínez, J. Cegoñino et al., Overview and recent advances in natural neighbour galerkin methods, Archives of Computational Methods in Engineering, vol.25, issue.2, pp.307-384, 2003.
DOI : 10.1007/978-1-4899-7278-1
URL : http://dilbert.engr.ucdavis.edu/%7Esuku/nem/papers/nem_reviewproofs.pdf

A. Delaplace and C. Rey, Numerical strategies for describing material failure with discrete element model, Proceedings of the 8th Esaform Conference on Material Forming, pp.101-104, 2005.

A. Devan and J. E. Dolbow, An enhanced assumed strain method with discontinuous enrichment, ESAFORM Conference on Material Forming, 2003.

T. Hughes, G. Feijoo, L. Mazzei, and J. B. Quincy, The variational multiscale method???a paradigm for computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.166, issue.1-2, pp.3-24, 1998.
DOI : 10.1016/S0045-7825(98)00079-6

S. R. Idelsohn, E. Oñate, N. Calvo, and F. Del-pin, The meshless finite element method, International Journal for Numerical Methods in Engineering, vol.13, issue.1, pp.893-912, 2003.
DOI : 10.1109/HICSS.1995.375331

S. R. Idelsohn, E. Oñate, and F. Del-pin, The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves, International Journal for Numerical Methods in Engineering, vol.61, issue.7, pp.61964-989, 2004.
DOI : 10.1002/nme.1096

P. Joyot, J. Trunzler, and F. Chinesta, Accounting for incompressibility in reproducing kernel particle meshless approximations, ESAFORM Conference on Material Forming, 2006.
DOI : 10.3166/remn.15.513-527
URL : https://hal.archives-ouvertes.fr/hal-00020916

R. Keunings, Micro-macro methods for the multiscale simulation viscoelastic flow using molecular models of kinetic theory, Rheology Reviews, pp.67-98, 2004.

W. K. Liu, S. Jun, S. Li, J. Adee, and T. Belytschko, Reproducing kernel particle methods, International Journal for Numerical Methods in Fluids, vol.45, issue.8-9, pp.1655-1679, 1995.
DOI : 10.1137/1.9781611970104

A. Lozinski and C. Chauviere, A fast solver for Fokker???Planck equation applied to viscoelastic flows calculations: 2D FENE model, Journal of Computational Physics, vol.189, issue.2, pp.607-625, 2003.
DOI : 10.1016/S0021-9991(03)00248-1

M. A. Martínez, E. Cueto, M. Doblaré, and F. Chinesta, Natural element meshless simulation of flows involving short fiber suspensions, Journal of Non-Newtonian Fluid Mechanics, vol.115, issue.1, pp.51-78, 2003.
DOI : 10.1016/S0377-0257(03)00171-X

M. A. Martinez, E. Cueto, I. Alfaro, M. Doblare, and F. Chinesta, Updated Lagrangian free surface flow simulations with natural neighbour Galerkin methods, International Journal for Numerical Methods in Engineering, vol.60, issue.13, pp.2105-2129, 2004.
DOI : 10.1002/nme.1036
URL : https://hal.archives-ouvertes.fr/hal-00020772

M. A. Martinez, E. Cueto, M. Doblare, and F. Chinesta, A meshless simulation of injection processes involving short fibers molten composites, ESAFORM Conference on Material Forming, 2001.

N. Moes, J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.8, issue.1, pp.131-150, 1999.
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
URL : https://hal.archives-ouvertes.fr/hal-01004829

G. Legrain, N. Moës, and E. Verron, Fracture with large deformation using X-FEM, ESAFORM Conference on Material Forming, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01008234

B. Nayroles, G. Touzot, and P. Villon, Generalizing the finite element method: Diffuse approximation and diffuse elements Smart polymers in finite element calculation, Computational Mechanics Int Congr. on Rheology, vol.10, pp.307-318, 1992.

J. A. Sethian, Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science, 1999.

R. Rentsch, Molecular dynamics simulation of microscopic phenomena in cutting and forming process, Proceedings of the 7th Esaform Conference on Material Forming, pp.93-96, 2004.

J. Rojek, F. Zarate, C. Agelet-de-saracibar, M. Chiumenti, M. Cervera et al., Numerical simulation of sand mould manufacture for lost foam casting process, Proceedings of the 6th Esaform Conference on Material Forming, pp.655-658, 2003.

D. Ryckelynck, F. Chinesta, E. Cueto, and A. Ammar, On thea priori model reduction: Overview and recent developments, Archives of Computational Methods in Engineering, vol.43, issue.5, pp.91-128, 2006.
DOI : 10.1007/3-540-27099-X_1

D. Ryckelynck, A priori hyperreduction method: an adaptive approach, Journal of Computational Physics, vol.202, issue.1, pp.346-366, 2005.
DOI : 10.1016/j.jcp.2004.07.015

V. B. Shenoy, R. Miller, E. B. Tadmor, D. Rodney, R. Phillips et al., An adaptive finite element approach to atomic-scale mechanics???the quasicontinuum method, Journal of the Mechanics and Physics of Solids, vol.47, issue.3, pp.611-642, 1999.
DOI : 10.1016/S0022-5096(98)00051-9
URL : http://arxiv.org/pdf/cond-mat/9710027

M. Somasi, B. Khomami, N. J. Woo, J. S. Hur, and E. S. Shaqfeh, Brownian dynamics simulations of bead-rod and bead-spring chains: numerical algorithms and coarse-graining issues, Journal of Non-Newtonian Fluid Mechanics, vol.108, issue.1-3, pp.1-3, 2002.
DOI : 10.1016/S0377-0257(02)00132-5

T. Strouboulis, K. Copps, and I. Babu?ka, The generalized finite element method, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.32-33, pp.4081-4193, 2001.
DOI : 10.1016/S0045-7825(01)00188-8

N. Sukumar, B. Moran, and T. Belytschko, The natural element method in solid mechanics, International Journal for Numerical Methods in Engineering, vol.27, issue.5, pp.839-887, 1998.
DOI : 10.1016/0013-7944(87)90155-X

N. Sukumar, Meshless Methods and Partition of Unity Finite Elements, ESAFORM Conference on Material Forming, 2003.
DOI : 10.3166/ijfp.8.409-427
URL : https://hal.archives-ouvertes.fr/hal-00020779

D. Chamoret, A. Rassineux, J. Bergheau, and P. Villon, Modelling of contact surface by local hermite diffuse interpolation The 4th international ESAFORM conference on material forming,Lì ege, Proceedings of ESAFORM 2001, pp.179-182, 2001.

S. W. Xiong, C. S. Li, J. M. Rodrigues, and P. A. Martins, Steady and nonsteady state analysis of bulk forming processes by the reproducing kernel particle method, FINITE ELEMENTS IN ANALYSIS AND DESIGN, pp.599-614, 2005.

J. Yvonnet, D. Ryckelynck, P. Lorong, and F. Chinesta, A new extension of the Natural Element method for non-convex and discontnuous problems: the Constrained Natural Element method, International Journal for Numerical Methods in Enginering, vol.60, issue.8, pp.1452-1474, 2004.

C. Zheng and J. M. Cesar-de-sa, A meshless method application on the localization phenomena of ductile damage in metal forming, ESAFORM Conference on Material Forming, 2006.

J. Zhou, L. Li, and J. Duszczyk, 3D FEM simulation of the whole cycle of aluminium extrusion throughout the transient state and the steady state using the updated Lagrangian approach, Journal of Materials Processing Technology, vol.134, issue.3, pp.383-397, 2003.
DOI : 10.1016/S0924-0136(02)01128-7