@Article{CiCP-24-1049,
author = {Qiang Du, Jiwei Zhang and Chunxiong Zheng},
title = {Nonlocal Wave Propagation in Unbounded Multi-Scale Media},
journal = {Communications in Computational Physics},
year = {2018},
volume = {24},
number = {4},
pages = {1049--1072},
abstract = {<p style="text-align: justify;">This paper focuses on the simulation of nonlocal wave propagations in unbounded
multi-scale mediums. To this end, we consider two issues: (a) the design
of artificial/absorbing boundary conditions; and (b) the construction of an asymptotically
compatible (AC) scheme for the nonlocal operator with general kernels. The design
of ABCs facilitates us to reformulate unbounded domain problems into bounded
domain problems. The construction of AC scheme facilitates us to simulate nonlocal
wave propagations in multi-scale mediums. By applying the proposed ABCs and
the proposed AC scheme, we investigate different wave propagation behaviors in the
&quot;local&quot; and nonlocal mediums through numerical examples.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2018.hh80.10},
url = {http://global-sci.org/intro/article_detail/cicp/12317.html}
}