  In this work, we review the connection between the subjects of homogenization
and nonlocal modeling and discuss the relevant computational issues. By further
exploring this connection, we hope to promote the cross fertilization of ideas
from the different research fronts. We illustrate how homogenization may help
characterizing the nature and the form of nonlocal interactions hypothesized in
nonlocal models. We also offer some perspective on how studies of nonlocality
may help the development of more effective numerical methods for
homogenization.
