A quardature-rule type approximation to the quasi-continuum method
M. Gunzburger and Y. Z. Zhang
Multiscale Modeling and Simulation, 8, 571-590 (2010).

ABSTRACT
A quadrature-rule type approximation of the quasi-continuum method for atomistic
mechanics is presented. Simple analysis and computational experiments are
presented that illustrate that the new method has, for the same accuracy, lower
complexity compared to not only the quasi-continuum method, but also to
cluster-type approximations of that method. A discussion about some
implementation issues connected to the new method is also provided.