  In this paper, we develop the residual based a posteriori error estimates and
the corresponding adaptive mesh refinement algorithm for atomistic/continuum
(a/c) coupling with finite range interactions in two dimensions. We have
systematically derived a new explicitly computable stress tensor formula for
finite range interactions. In particular, we use the geometric reconstruction
based consistent atomistic/continuum (GRAC) coupling scheme, which is optimal
if the continuum model is discretized by $P^1$ finite elements. The numerical
results of the adaptive mesh refinement algorithm is consistent with the
optimal a priori error estimates.
