@Article{IJNAM-11-3,
author = {},
title = {Two-Level Penalty Finite Element Methods for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {3},
pages = {608--623},
abstract = {<p style="text-align: justify;">The two-level penalty finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions are investigated in this paper, whose variational formulation is
the Navier-Stokes type variational inequality problem of the second kind. The basic idea is to
solve the Navier-Stokes type variational inequality problem on a coarse mesh with mesh size $H$ in
combining with solving a Stokes type variational inequality problem for simple iteration or solving
a Oseen type variational inequality problem for Oseen iteration on a fine mesh with mesh size $h$.
The error estimate obtained in this paper shows that if $H = O(h^{5/9})$, then the two-level penalty
methods have the same convergence orders as the usual one-level penalty finite element method,
which is only solving a large Navier-Stokes type variational inequality problem on the fine mesh.
Hence, our methods can save an amount of computational work.</p>},
issn = {2617-8710},
doi = {https://doi.org/2014-IJNAM-544},
url = {https://global-sci.com/article/83365/two-level-penalty-finite-element-methods-for-navier-stokes-equations-with-nonlinear-slip-boundary-conditions}
}