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- W4298857285 abstract "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 arXiv:1304.4976 for linear, one-dimensional problems to multi-dimensional settings and arbitrary interatomic potentials. We conjecture optimal error estimates for the multidimensional AtC, outline an implementation procedure, and provide numerical results to corroborate the conjecture for a 1D Lennard-Jones system with next-nearest neighbor interactions." @default.
- W4298857285 created "2022-10-02" @default.
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- W4298857285 date "2013-09-23" @default.
- W4298857285 modified "2023-10-16" @default.
- W4298857285 title "Development of an Optimization-Based Atomistic-to-Continuum Coupling Method" @default.
- W4298857285 doi "https://doi.org/10.48550/arxiv.1309.5988" @default.
- W4298857285 hasPublicationYear "2013" @default.
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