@Article{IJNAM-7-785,
author = {Y. Li and K. Li},
title = {Operator Splitting Methods for the Navier-Stokes Equations with Nonlinear Slip Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {4},
pages = {785--805},
abstract = {<p style="text-align: justify;">In this paper, the $\theta$ scheme of operator splitting methods is applied
to the Navier-Stokes equations with nonlinear slip boundary conditions whose
variational formulation is the variational inequality of the second kind with
the Navier-Stokes operator. Firstly, we introduce the multiplier such that the
variational inequality is equivalent to the variational identity. Subsequently, we
give the $\theta$ scheme to compute the variational identity and consider the finite
element approximation of the $\theta$ scheme. The stability and convergence of the
$\theta$ scheme are showed. Finally, we give the numerical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/752.html}
}