TY - JOUR
T1 - A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids
AU - Si , Zhiyong
AU - Dong , Piaopiao
AU - Wang , Yunxia
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 386
EP - 414
PY - 2022
DA - 2022/01
SN - 14
DO - http://doi.org/10.4208/aamm.OA-2020-0327
UR - https://global-sci.org/intro/article_detail/aamm/20203.html
KW - Electroneutral micro-fluids, finite element method, modified characteristics method, unconditional stability, optimal error estimation.
AB - <p style="text-align: justify;">In this paper, a numerical method for the electroneutral micro-fluids based
on the finite element method will be given. In order to deal with the non-linearity of
the equation, the modified characteristics method will be used to deal with the temporal derivative term and the convective term. In this way, the non-linear equation can be
linearized. Then, we will give the unconditional stability and optimal error estimation. At last, some numerical results are given to show the effectiveness of our method.
From the stability analysis we can see that the method is unconditionally stable. The
numerical results show that our method is robust.</p>