# 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}
}
• Published 18 July 2011
• Computer Science
• Multiscale Model. Simul.
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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