On the Angle Condition in the Finite Element Method, SIAM Journal on Numerical Analysis, vol.13, issue.2, pp.214-226, 1976. ,
DOI : 10.1137/0713021
The partition of unity finite element method : basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.314, pp.139-314, 1996. ,
THE PARTITION OF UNITY METHOD, International Journal for Numerical Methods in Engineering, vol.9, issue.4, pp.727-758, 1997. ,
DOI : 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N
Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, vol.95, issue.2, pp.229-256, 1994. ,
DOI : 10.1002/nme.1620370205
Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.3-47, 1996. ,
DOI : 10.1016/S0045-7825(96)01078-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.8046
Arbitrary discontinuities in finite elements, International Journal for Numerical Methods in Engineering, vol.8, issue.4, pp.993-1013, 2001. ,
DOI : 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M
URL : https://hal.archives-ouvertes.fr/hal-01005275
Problèmes mécaniques multi-échelles : la méthode Arlequin Comptes Rendus à l'Académie des Sciences -Mécanique des Solides et des Structures, pp.899-904, 1998. ,
Element free Galerkin method : convergence of the continuous and discontinuous shape functions Computer methods in applied mechanics and engineering, pp.257-277, 1996. ,
Analyse mathématique de la méthode Arlequin mixte ,
*sous la direction de ) Homogénéisation en mécanique des matériaux : 1, Matériaux aléatoires élastiques et milieux périodiques Paris, 2001. ,
A stabilized conforming nodal integration for Galerkin mesh-free methods, International Journal for Numerical Methods in Engineering, vol.53, issue.2, pp.435-466, 2001. ,
DOI : 10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A
Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods, International Journal for Numerical Methods in Engineering, vol.36, issue.12, pp.2587-2615, 2002. ,
DOI : 10.1002/nme.338
Homogenization of non-periodic masonry structures, International Journal of Solids and Structures, vol.41, issue.7, pp.1911-1923, 2004. ,
DOI : 10.1016/j.ijsolstr.2003.11.011
Numerical integration of the Galerkin weak form in meshfree methods, Computational Mechanics, vol.23, issue.3, pp.219-230, 1999. ,
DOI : 10.1007/s004660050403
Study of a boundary layer problem in elastic composite. mathematical modelling and numerical analysis, pp.265-286, 1986. ,
A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.28, issue.6, pp.1205-1227, 1991. ,
DOI : 10.1002/nme.1620320604
Multiscale FE2 elastoviscoplastic analysis of composite structures, Computational Materials Science, vol.16, issue.1-4, pp.344-354, 1999. ,
DOI : 10.1016/S0927-0256(99)00077-4
A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.3233-3244, 2003. ,
DOI : 10.1016/S0045-7825(03)00348-7
The s-version of the finite element method, Computers & Structures, vol.43, issue.3, pp.539-547, 1992. ,
DOI : 10.1016/0045-7949(92)90287-A
Multigrid method for periodic heterogeneous media Part 1: Convergence studies for one-dimensional case, Computer Methods in Applied Mechanics and Engineering, vol.126, issue.1-2, pp.1-16, 1995. ,
DOI : 10.1016/0045-7825(95)00811-E
Multi-grid method for periodic heterogeneous media Part 2: Multiscale modeling and quality control in multidimensional case, Computer Methods in Applied Mechanics and Engineering, vol.126, issue.1-2, pp.17-38, 1995. ,
DOI : 10.1016/0045-7825(95)00812-F
Classification and Overview of Meshfree Methods, pp.2003-2006, 2003. ,
Numerical integration in Natural Neighbour Galerkin methods, Numerical integration in Natural neighbor Galerkin methods, pp.2077-2104, 2004. ,
DOI : 10.1002/nme.1038
Multiple scale analysis of heterogeneous elastic structures using homogenization theory and voronoi cell finite element method, International Journal of Solids and Structures, vol.32, issue.1, pp.27-62, 1995. ,
DOI : 10.1016/0020-7683(94)00097-G
Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi Cell finite element method, Computer Methods in Applied Mechanics and Engineering, vol.121, issue.1-4, pp.373-409, 1995. ,
DOI : 10.1016/0045-7825(94)00687-I
Tessellation-based computational methods for the characterization and analysis of heterogeneous microstructures Composites Science and Technology, pp.1187-1210, 1997. ,
Méthodes de décomposition de domaine et méthodes d'accélération pour les problèmes multi champs en mécanique non linéaire, 2003. ,
Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.3647-3679, 2003. ,
DOI : 10.1016/S0020-7683(03)00143-4
Une nouvelle strat??gie de calcul micro/macro en m??canique des structures, Comptes Rendus à l'Académie des Sciences -Mécanique des Solides et des Structures, pp.1237-1244, 1999. ,
DOI : 10.1016/S1287-4620(00)88647-0
A micro???macro and parallel computational strategy for highly heterogeneous structures, International Journal for Numerical Methods in Engineering, vol.46, issue.12, pp.121-138, 2001. ,
DOI : 10.1002/nme.274
URL : https://hal.archives-ouvertes.fr/hal-00322459
La maitrise du calcul en mécanique linéaire et non linéaire, 2001. ,
On a multiscale computational strategy with time and space homogenization for structural mechanics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.3061-3087, 2003. ,
DOI : 10.1016/S0045-7825(03)00341-4
Mesh-free simulations of shear banding in large deformation, International Journal of Solids and Structures, vol.37, issue.48-50, pp.7183-7206, 2000. ,
DOI : 10.1016/S0020-7683(00)00195-5
The finite difference method at arbitrary irregular grids and its application in applied mechanics. Computers and structures, pp.83-95, 1980. ,
Reproducing kernel particle methods, International Journal for Numerical Methods in Fluids, vol.45, issue.8-9, pp.1081-1106, 1995. ,
DOI : 10.1002/fld.1650200824
A numerical approach to the testing of fusion process. The astronomic journal, pp.1013-1024, 1977. ,
A reduced-basis element method. Comptes Rendus à l'Académie des Sciences -Analyse numérique, pp.195-200, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00112608
The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.289-314, 1996. ,
DOI : 10.1016/S0045-7825(96)01087-0
Generalizing the finite element method: Diffuse approximation and diffuse elements, Computational Mechanics, vol.313, issue.5, pp.307-318, 1992. ,
DOI : 10.1007/BF00364252
Reduced basis technique for nonlinear analysis of structures, 20th Structures, Structural Dynamics, and Materials Conference, pp.455-462, 1980. ,
DOI : 10.2514/6.1979-747
Number of grains necessary to homogenize elastic materials with cubic symmetry, Mechanics of Materials, vol.35, issue.11, pp.1049-1057, 2003. ,
DOI : 10.1016/S0167-6636(02)00325-3
Méthode Arlequin pour les problèmes mécaniques multi-échelles : Applications à des problèmes de jonction et de fissuration de structures élancées, 2003. ,
Concurrent multi-scale analysis of elastic composites by a multi-level computational model, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6-8, pp.497-538, 2004. ,
DOI : 10.1016/j.cma.2003.10.007
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
Geophysical parametrization and interpolation of irregular data using natural neighbours, Geophysical Journal International, vol.122, issue.3, pp.837-857, 1995. ,
DOI : 10.1111/j.1365-246X.1995.tb06841.x
A vector identity for the Dirichlet tessellation, Mathematical Proceedings of the Cambridge Philosophical Society, vol.21, issue.01, pp.151-155, 1980. ,
DOI : 10.2307/1425985
Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.1-2, pp.181-192, 1998. ,
DOI : 10.1016/S0045-7825(97)00139-4
The design and analysis of the Generalized Finite Element Method, Computer Methods in Applied Mechanics and Engineering, vol.181, issue.1-3, pp.43-69, 2000. ,
DOI : 10.1016/S0045-7825(99)00072-9
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
The natural element method in solid mechanics, International Journal for Numerical Methods in Engineering, vol.27, issue.5, pp.839-887, 1998. ,
DOI : 10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R
Modeling holes and inclusions by level sets in the extended finite-element method, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.46-47, pp.6183-6200, 2000. ,
DOI : 10.1016/S0045-7825(01)00215-8
URL : https://hal.archives-ouvertes.fr/hal-01007065
Extended finite element method for three-dimensional crack modelling, International Journal for Numerical Methods in Engineering, vol.15, issue.11, pp.1549-1570, 2000. ,
DOI : 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A
URL : https://hal.archives-ouvertes.fr/hal-01006859
Plasticité et homogénéisation, Université Paris, vol.6, 1982. ,
Three-scale finite element analysis of heterogeneous media by asymptotic homogenization and mesh superposition methods, International Journal of Solids and Structures, vol.41, issue.15, pp.4121-4135, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.02.049
The Heterogeneous Multiscale Method : A Review ,
Analysis of multiscale methods, Journal of Computational Mathematics, vol.22, pp.210-219, 2004. ,
Stabilized conforming nodal integration in the natural-element method, International Journal for Numerical Methods in Engineering, vol.60, issue.5, pp.861-890, 2004. ,
DOI : 10.1002/nme.972
A new extension of the natural element method for non-convex and discontinuous problems: the constrained natural element method(C-NEM), International Journal for Numerical Methods in Engineering, vol.60, issue.8, pp.1451-1474, 2004. ,
DOI : 10.1002/nme.1016
URL : https://hal.archives-ouvertes.fr/hal-01508695
Nouvelles approches sans maillage basées sur la méthode des éléments naturels pour la simulation numérique des procédés de mise en forme. École Nationale Supérieure D'Arts et Métiers -Paris, 2004. ,
Reduced-Basis Methods Applied to Problems in Elasticity : Analysis and Applications, Massachusetts Institute of Technology, vol.6, pp.0-115, 2003. ,
The constrained natural element method (C-NEM) for treating thermal models involving moving interfaces, International Journal of Thermal Sciences, vol.44, issue.6, pp.559-569, 2005. ,
DOI : 10.1016/j.ijthermalsci.2004.12.007
URL : https://hal.archives-ouvertes.fr/hal-00021103