TY - JOUR
T1 - The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation
AU - Binbin Du & Jianguo Huang
JO - Communications in Computational Physics
VL - 3
SP - 752
EP - 780
PY - 2018
DA - 2018/11
SN - 25
DO - http://doi.org/10.4208/cicp.OA-2017-0235
UR - https://global-sci.org/intro/article_detail/cicp/12828.html
KW - Nonlinear saddle-point problems, the generalized Arrow-Hurwicz method, convergence rate analysis, fluid computation.
AB - <p style="text-align: justify;">In this paper, we first discuss the existence and uniqueness of a class of nonlinear
saddle-point problems, which are frequently encountered in physical models.
Then, a generalized Arrow-Hurwicz method is introduced to solve such problems. For
the method, the convergence rate analysis is established under some reasonable conditions.
It is also applied to solve three typical discrete methods in fluid computation,
with the computational efficiency demonstrated by a series of numerical experiments.</p>