Atomistic/continuum blending with ghost force correction
C. Ortner and L. Zhang
SIAM Journal of Scientific Computing, 38, A346–A375 (2016).


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.