Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues
Numerical Analysis
2019-09-04 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.1909.00708,
title = {Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues},
author = {Qiang Du and Bjorn Engquist and Xiaochuan Tian},
journal= {arXiv preprint arXiv:1909.00708},
year = {2019}
}