Force-based atomistic/continuum blending for multilattices 
D. Olson, X. Li, B. C. Ortner and Van Koten, 
Numerische Mathematik, 140, 703-754 (2018).

ABSTRACT
We formulate the blended force-based quasicontinuum method for multilattices and
develop rigorous error estimates in terms of the approximation parameters:
choice of atomistic region, blending region, and continuum finite element mesh.
Balancing the approximation parameters yields a convergent atomistic/continuum
multiscale method for multilattices with point defects, including a rigorous
convergence rate in terms of the computational cost. The analysis is illustrated
with numerical results for a Stone-Wales defect in graphene.