@Article{CiCP-20-1405,
author = {Yunlong Yu, Yanzhong Yao, Guangwei Yuan and Xingding Chen},
title = {A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes},
journal = {Communications in Computational Physics},
year = {2018},
volume = {20},
number = {5},
pages = {1405--1423},
abstract = {<p style="text-align: justify;">In this paper, a conservative parallel iteration scheme is constructed to solve
nonlinear diffusion equations on unstructured polygonal meshes. The design is based
on two main ingredients: the first is that the parallelized domain decomposition is
embedded into the nonlinear iteration; the second is that prediction and correction
steps are applied at subdomain interfaces in the parallelized domain decomposition
method. A new prediction approach is proposed to obtain an efficient conservative
parallel finite volume scheme. The numerical experiments show that our parallel
scheme is second-order accurate, unconditionally stable, conservative and has linear
parallel speed-up.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.230815.030616a},
url = {http://global-sci.org/intro/article_detail/cicp/11195.html}
}