TY - JOUR
T1 - A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes
AU - Yunlong Yu, Yanzhong Yao, Guangwei Yuan & Xingding Chen
JO - Communications in Computational Physics
VL - 5
SP - 1405
EP - 1423
PY - 2018
DA - 2018/04
SN - 20
DO - http://doi.org/10.4208/cicp.230815.030616a
UR - https://global-sci.org/intro/article_detail/cicp/11195.html
KW - 
AB - <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>