TY - JOUR
T1 - Gauge-Uzawa Methods for the Navier-Stokes Equations with Nonlinear Slip Boundary Conditions
AU - Hailong Qiu, Liquan Mei & Zhangxin Chen
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 46
EP - 56
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/218.html
KW - 
AB - In this paper, the Gauge-Uzawa method is applied to solve the Navier-Stokes equations with nonlinear slip boundary conditions whose variational formulation is a variational inequality
of the second kind with the Navier-Stokes operator. In [1], a multiplier was introduced such
that the variational inequality is equivalent to the variational identity. We give the Gauge-Uzawa
scheme to compute this variational identity and provide a finite element approximation for the
Gauge-Uzawa scheme. The stability of the Gauge-Uzawa scheme is showed. Finally, numerical
experiments are given, which confirm the theoretical analysis and demonstrate the efficiency of
the new method.