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arxiv: 1407.0053 · v1 · pith:6MMVKJNVnew · submitted 2014-06-30 · 🧮 math.NA · cs.NA

Atomistic/Continuum Blending with Ghost Force Correction

classification 🧮 math.NA cs.NA
keywords atomisticcontinuumblendingcorrectioncouplingforceghostscheme
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We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an energy-based atomistic/continuum coupling scheme which has, for a range of benchmark problems, the same convergence rates as optimal force-based coupling schemes. We present the construction of this new scheme, numerical results exploring its accuracy in comparison with established schemes, as well as a rigorous error analysis for an instructive special case.

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