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arXiv 1407.0053math.NAcs.NA
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原子/连续体融合与鬼力修正

Atomistic/Continuum Blending with Ghost Force Correction

University of Warwick(华威大学);Shanghai Jiao Tong University(上海交通大学)

Christoph Ortner, Lei Zhang

AI总结:

本文提出一种基于能量的原子连续体耦合方案,通过结合原子/连续体能量融合与鬼力修正,实现与最优力基耦合方案相同的收敛率。

摘要:

我们结合原子/连续体能量融合与鬼力修正的思想,提出一种基于能量的原子连续体耦合方案,该方案在多个基准问题中表现出与最优力基耦合方案相同的收敛率。本文介绍了该新方案的构造,展示了其与现有方案在精度上的对比结果,并对一个具有指导意义的特殊案例进行了严谨的误差分析。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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