Development of an Optimization-Based Atomistic-to-Continuum Coupling Method

@inproceedings{Olson2013DevelopmentOA,
  title={Development of an Optimization-Based Atomistic-to-Continuum Coupling Method},
  author={Derek Olson and Pavel B. Bochev and Mitchell Luskin and Alexander V. Shapeev},
  booktitle={LSSC},
  year={2013}
}
Atomistic-to-Continuum (AtC) coupling methods are a novel means of computing the properties of a discrete crystal structure, such as those containing defects, that combine the accuracy of an atomistic (fully discrete) model with the efficiency of a continuum model. In this note we extend the optimization-based AtC, formulated in [17] for linear, one-dimensional problems to multi-dimensional settings and arbitrary interatomic potentials. We conjecture optimal error estimates for the… 
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