Ghost force influence of a quasicontinuum method in two dimension
J. R. Chen and P. B. Ming
Journal of Computational Mathematics, 30, 657-683 (2012).

ABSTRACT
The error caused by the ghost force is studied for a quasicontinuum method with
planar interface in two dimension. For a special case, we derive an analytical
expression of the error, which is exploited to prove that the ghost force may
lead to a finite size error for the gradient of the solution. The pointwise
estimate of the error shows that the error decays algebraically away from the
interface, which is much slower than that of the one-dimensional problem, for
which the error decays exponentially away from the interface.