@Article{IJNAMB-5-46,
author = {Hailong Qiu, Liquan Mei and Zhangxin Chen},
title = {Gauge-Uzawa Methods for the Navier-Stokes Equations with Nonlinear Slip Boundary Conditions},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2014},
volume = {5},
number = {1},
pages = {46--56},
abstract = {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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/218.html}
}