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arxiv: 1208.1321 · v1 · pith:CIFG3GG5new · submitted 2012-08-07 · 🧮 math.NA

On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension

classification 🧮 math.NA
keywords dynamicerrorghostmethodproblemsquasicontinuumscaletime
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Numerical error induced by the "ghost forces" in the quasicontinuum method is studied in the context of dynamic problems. The error in the ({W}^{1,\infty}) norm is analyzed for the time scale (\mc{O}(\eps)) and the time scale (\mc{O}(1)) with $\eps$ being the lattice spacing.

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