X. H. Li, M. Luskin, C. Ortner and A. V. Shapeev
Computer Methods in Applied Mechanics and Engineering, 268, 763–781 (2014).
We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum forces. Our precise choice of blending mechanism is informed by theoretical predictions. We present a range of numerical experiments studying the accuracy of the scheme, focusing in particular on its stability. These experiments confirm and extend the theoretical predictions, and demonstrate a superior accuracy of B-QCF over energy-based blending schemes.