Atomistic/continuum blending with ghost force correction
C. Ortner and L. Zhang
SIAM Journal of Scientific Computing, 38, A346–A375 (2016).
C. Ortner and L. Zhang
SIAM Journal of Scientific Computing, 38, A346–A375 (2016).
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, and a rigorous error analysis for an instructive special case.