@Article{AAMM-8-6,
author = {Liu, An and Yuan, Li and Rong, An},
title = {Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {6},
pages = {932--952},
abstract = {<p style="text-align: justify;">In this paper, we present two-level defect-correction finite element method
for steady Navier-Stokes equations at high Reynolds number with the friction boundary
conditions, which results in a variational inequality problem of the second kind.
Based on Taylor-Hood element, we solve a variational inequality problem of Navier-Stokes
type on the coarse mesh and solve a variational inequality problem of Navier-Stokes
type corresponding to Newton linearization on the fine mesh. The error estimates
for the velocity in the $H^1$ norm and the pressure in the $L^2$ norm are derived.
Finally, the numerical results are provided to confirm our theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m595},
url = {https://global-sci.com/article/73368/two-level-defect-correction-method-for-steady-navier-stokes-problem-with-friction-boundary-conditions}
}