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A priori error analysis of two force based atomistic/continuum models of a periodic chain

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Figure

Fig. 1Visualisation of La (black squares), Lc (white squares), and condition (13), withκ = 3 and rcut = 2.
Fig. 2Atomistic solution with rcut = 2, N= 2200, interaction potential φ(r) =e−2α(r−1) − 2e−α(r−1) with α = 3, macroscopic strain A = 1, and external force g de-fined by (74).
Fig. 4Relative error of various atomistic/continuum methods for the model problemdescribed in the beginning of Section 6, with A = 1, κ = 5, and varying h.
Fig. 5Relative error of various atomistic/continuum methods for the model problemdescribed in the beginning of Section 6, with A = 1, κ = 3, and varying h.
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