Homogenization-based analysis of quasicontinuum method for complex crystals ,
Atomistic/continuum coupling in computational materials science, Modelling and Simulation in Materials Science and Engineering, vol.11, issue.3, pp.33-68, 2003. ,
DOI : 10.1088/0965-0393/11/3/201
Analysis of a force-based quasicontinuum approximation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.42, issue.1, pp.113-139, 2008. ,
DOI : 10.1051/m2an:2007058
URL : https://hal.archives-ouvertes.fr/hal-00676436
An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation, SIAM Journal on Numerical Analysis, vol.47, issue.4, pp.2455-2475, 2009. ,
DOI : 10.1137/08073723X
Stability, instability, and error of the force-based quasicontinuum approximation. Archive for Rational Mechanics and Analysis, pp.179-202, 2010. ,
The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain, Multiscale Modeling & Simulation, vol.10, issue.3 ,
DOI : 10.1137/110825704
Uniform accuracy of the quasicontinuum method, Phys. Rev. B, vol.74, p.214115, 2006. ,
Quadrature-rule type approximations to the quasicontinuum method for short and long-range interatomic interactions, Comput. Methods Appl. Mech. Engrg, vol.199, pp.648-659, 2010. ,
A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods, Numerical Analysis of Multiscale Problems ,
DOI : 10.1007/978-3-642-22061-6_3
Analysis of energy-based blended quasicontinuum approximations, SIAM J. Numer. Anal ,
A generalized quasi-nonlocal atomistic-to-continuum coupling method with finite range interaction, IMA Journal of Numerical Analysis ,
Convergence Analysis of a Quasi???Continuum Approximation for a Two???Dimensional Material Without Defects, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.313-332, 2007. ,
DOI : 10.1137/050636772
Convergence of a force-based hybrid method for atomistic and continuum models in three dimension ,
Stress-based atomistic/continuum coupling: a new variant of the quasicontinuum approximation ,
The quasicontinuum method: Overview, applications and current directions, Journal of Computer-Aided Materials Design, vol.9, issue.3, pp.203-239, 2002. ,
DOI : 10.1023/A:1026098010127
Analysis of a One-Dimensional Nonlocal Quasi-Continuum Method, Multiscale Modeling & Simulation, vol.7, issue.4, pp.1838-1875, 2009. ,
DOI : 10.1137/080725842
Structure and Strength of Dislocation Junctions: An Atomic Level Analysis, Physical Review Letters, vol.82, issue.8, pp.1704-1707, 1999. ,
DOI : 10.1103/PhysRevLett.82.1704
Consistent energy-based atomistic/continuum coupling for two-body potentials in 1d and 2d, Multiscale Model. Simul ,
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.47611-642, 1999. ,
DOI : 10.1016/S0022-5096(98)00051-9
Matching conditions in the quasicontinuum method: Removal of the error introduced at the interface between the coarse-grained and fully atomistic region, Physical Review B, vol.69, issue.21, p.69214104, 2004. ,
DOI : 10.1103/PhysRevB.69.214104
Quasicontinuum analysis of defects in solids, Philosophical Magazine A, vol.64, issue.6, pp.1529-1563, 1996. ,
DOI : 10.1088/0953-8984/2/24/004