English

Atomistic/Continuum Blending with Ghost Force Correction

Numerical Analysis 2018-06-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1407.0053,
  title  = {Atomistic/Continuum Blending with Ghost Force Correction},
  author = {Christoph Ortner and Lei Zhang},
  journal= {arXiv preprint arXiv:1407.0053},
  year   = {2018}
}

Comments

24 pages

R2 v1 2026-06-22T04:51:54.822Z