TY - JOUR
T1 - Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations
AU - Jiawei Gao & Jian Li
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 628
EP - 648
PY - 2022
DA - 2022/04
SN - 12
DO - http://doi.org/10.4208/eajam.300121.261221 
UR - https://global-sci.org/intro/article_detail/eajam/20411.html
KW - Navier-Stokes equations, nonconforming finite element, space iterative method, stability and convergence.
AB - <p style="text-align: justify;">Steady Navier-Stokes equations are solved by three different space iteration
methods based on the lowest order nonconforming finite element pairs $\mathscr{P}_1\mathscr{N} \mathscr{C}-\mathscr{P}_1,$ including simple, Oseen, and Newton iterative methods. The stability and convergence
of these methods are studied, and their CPU time and numerical convergence rate are
discussed. Numerical results are in good agreement with theoretical findings. In particular, numerical experiments show that for large viscosity, the Newton method converges
faster than to others, whereas the Oseen method is more suitable for the equations with
small viscosity.</p>