TY - JOUR
T1 - Two-step algorithms for the stationary incompressible Navier–Stokes equations with friction boundary conditions
AU - Qiu, Hailong
AU - An, Rong
AU - Mei, Liquan
AU - Xue, Changfeng
N1 - Publisher Copyright:
© 2017 IMACS
PY - 2017/10
Y1 - 2017/10
N2 - Two-step algorithms for the stationary incompressible Navier–Stokes equations with friction boundary conditions are considered in this paper. Our algorithms consist of solving one Navier–Stokes variational inequality problem used the linear equal-order finite element pair (i.e., P1–P1) and then solving a linearization variational inequality problem used the quadratic equal-order finite element pair (i.e., P2–P2). Moreover, the stability and convergence of our two-step algorithms are derived. Finally, numerical tests are presented to check theoretical results.
AB - Two-step algorithms for the stationary incompressible Navier–Stokes equations with friction boundary conditions are considered in this paper. Our algorithms consist of solving one Navier–Stokes variational inequality problem used the linear equal-order finite element pair (i.e., P1–P1) and then solving a linearization variational inequality problem used the quadratic equal-order finite element pair (i.e., P2–P2). Moreover, the stability and convergence of our two-step algorithms are derived. Finally, numerical tests are presented to check theoretical results.
KW - Error estimate
KW - Friction boundary conditions
KW - Linear equal-order pair
KW - Navier–Stokes equations
KW - Quadratic equal-order pair
KW - Two-step strategy
UR - https://www.scopus.com/pages/publications/85019666631
U2 - 10.1016/j.apnum.2017.05.003
DO - 10.1016/j.apnum.2017.05.003
M3 - 文章
AN - SCOPUS:85019666631
SN - 0168-9274
VL - 120
SP - 97
EP - 114
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -