208
R´ ef´ erences
55. M. Luskin, Computational modeling of microstructure, dans Proceedings of the
International Congress of Mathematicians, ICM 2002, Beijing, p 707–716.
56. M. Luskin, On the computation of crystalline microstructure,A c t aN u m e r i c a ,
volume 5, p 191-258, 1996.
57. A.M. Matache et Ch. Schwab, Two scale FEM for homogenization problems,
M a t h .M o d .N u m .A n . ,3 6 , 4, pp 537-572 (2002).
58. A.M. Matache et Ch. Schwab, Generalized FEM for homogenization problems,
pages 197-237 dans [11].
59. R. Miller, E.B. Tadmor, R. Phillips, M. Ortiz, Quasicontinuum simulation of
fracture at the atomic scale, Modelling Simul. Mater. Sci. Eng. 6 (1998), p607
60. F. Murat et L. Tartar, Calculus of variations and homogenization, dans le livre
Topics in the mathematical modelling of composite materials, Cherkaev, Andrej (ed.) et al., Birkh¨ auser. Prog. Nonlinear Differ. Equ. Appl. 31,
139-173, 1997.
61. G. Nguetsen, A general convergence result for a functional related to the theory
of homogenization, SIAM J. Math. Anal. 20, No.3, 608-623, 1989.
62. H-C. Ottinger, Stochastic processes in polymeric fluids, Springer, 1996.
63. R. G. Owens and T. N. Phillips, Computational Rheology, Imperial College
Press, 2002.
64. P. Pedregal, Variational methods in nonlinear elasticity., SIAM, 2000.
65. A. Quarteroni, R. Sacco & F. Saleri, Analyse num´ erique, Springer, 1999.
66. D. Raabe, Computational material science, Wiley, 1998.
67. P.A. Raviart & J.M. Thomas, Introduction ` a l’analyse num´ erique des
´ equations aux d´ eriv´ ees partielles, Masson, 1992.
68. R. E. Rudd & J. Q. Broughton, Concurrent coupling of length scales in solid
state system, pages 251-291, dans [27].
69. J. Salen¸ con, M´ ecanique des milieux continus, Cours ` a l’Ecole Polytechnique.
70. J. Sanchez-Hubert et E. Sanchez-Palencia, Introduction aux m´ ethodes
asymptotiques et ` a l’homog´ en´ eisation, Masson, 1992.
71. J.M. Sanz-Serna & M. P. Calvo, Numerical Hamiltonian Problems, Chapman and Hall, 1994.
72. T. Schlick, Molecular modeling and simulation ; an interdisciplinary
guide, Springer, 2002,
73. Ch. Schwab, Two scale FEM for homogenization problems,d a n sMathematical modeling and numerical simulation in continuum mechanics, I. Babuska et al., Editeurs, Lecture notes in computational science and engineering,
volume 19, Springer, 2002, pages 92-107,
74. V.B. Shenoy, R. Miller, E.B. Tadmor, R. Phillips, M. Ortiz, Quasicontinuum
Models of Interfacial Structure and Deformation, Phys. Rev. Letters 80,4
(1998), p742
75. V.B. Shenoy, R. Miller, E.B. Tadmor, D. Rodney, R. Phillips, M. Ortiz, An adaptative finite element approach to atomic-scale mechanics - the QuasiContinuum
Method, J. Mech. Phys. Solids 47 (1999), p611
R´ ef´ erences
55. M. Luskin, Computational modeling of microstructure, dans Proceedings of the
International Congress of Mathematicians, ICM 2002, Beijing, p 707–716.
56. M. Luskin, On the computation of crystalline microstructure,A c t aN u m e r i c a ,
volume 5, p 191-258, 1996.
57. A.M. Matache et Ch. Schwab, Two scale FEM for homogenization problems,
M a t h .M o d .N u m .A n . ,3 6 , 4, pp 537-572 (2002).
58. A.M. Matache et Ch. Schwab, Generalized FEM for homogenization problems,
pages 197-237 dans [11].
59. R. Miller, E.B. Tadmor, R. Phillips, M. Ortiz, Quasicontinuum simulation of
fracture at the atomic scale, Modelling Simul. Mater. Sci. Eng. 6 (1998), p607
60. F. Murat et L. Tartar, Calculus of variations and homogenization, dans le livre
Topics in the mathematical modelling of composite materials, Cherkaev, Andrej (ed.) et al., Birkh¨ auser. Prog. Nonlinear Differ. Equ. Appl. 31,
139-173, 1997.
61. G. Nguetsen, A general convergence result for a functional related to the theory
of homogenization, SIAM J. Math. Anal. 20, No.3, 608-623, 1989.
62. H-C. Ottinger, Stochastic processes in polymeric fluids, Springer, 1996.
63. R. G. Owens and T. N. Phillips, Computational Rheology, Imperial College
Press, 2002.
64. P. Pedregal, Variational methods in nonlinear elasticity., SIAM, 2000.
65. A. Quarteroni, R. Sacco & F. Saleri, Analyse num´ erique, Springer, 1999.
66. D. Raabe, Computational material science, Wiley, 1998.
67. P.A. Raviart & J.M. Thomas, Introduction ` a l’analyse num´ erique des
´ equations aux d´ eriv´ ees partielles, Masson, 1992.
68. R. E. Rudd & J. Q. Broughton, Concurrent coupling of length scales in solid
state system, pages 251-291, dans [27].
69. J. Salen¸ con, M´ ecanique des milieux continus, Cours ` a l’Ecole Polytechnique.
70. J. Sanchez-Hubert et E. Sanchez-Palencia, Introduction aux m´ ethodes
asymptotiques et ` a l’homog´ en´ eisation, Masson, 1992.
71. J.M. Sanz-Serna & M. P. Calvo, Numerical Hamiltonian Problems, Chapman and Hall, 1994.
72. T. Schlick, Molecular modeling and simulation ; an interdisciplinary
guide, Springer, 2002,
73. Ch. Schwab, Two scale FEM for homogenization problems,d a n sMathematical modeling and numerical simulation in continuum mechanics, I. Babuska et al., Editeurs, Lecture notes in computational science and engineering,
volume 19, Springer, 2002, pages 92-107,
74. V.B. Shenoy, R. Miller, E.B. Tadmor, R. Phillips, M. Ortiz, Quasicontinuum
Models of Interfacial Structure and Deformation, Phys. Rev. Letters 80,4
(1998), p742
75. V.B. Shenoy, R. Miller, E.B. Tadmor, D. Rodney, R. Phillips, M. Ortiz, An adaptative finite element approach to atomic-scale mechanics - the QuasiContinuum
Method, J. Mech. Phys. Solids 47 (1999), p611