Numerical Methods for Multilattices

@article{Abdulle2012NumericalMF,
  title={Numerical Methods for Multilattices},
  author={Assyr Abdulle and Ping Lin and Alexander V. Shapeev},
  journal={Multiscale Model. Simul.},
  year={2012},
  volume={10},
  pages={696-726}
}
Among the efficient numerical methods based on atomistic models, the quasi-continuum (QC) method has attracted growing interest in recent years. The QC method was first developed for crystalline materials with Bravais lattice and was later extended to multilattices [Tadmor et al., Phys. Rev. B, 59 (1999), pp. 235--245]. Another existing numerical approach to modeling multilattices is homogenization. In the present paper we review the existing numerical methods for multilattices and propose… 
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