@Article{JCM-18-2,
author = {Qing-Ping, Deng and Xue-Jun, Xu and Shu-Min, Shen},
title = {Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {2},
pages = {141--156},
abstract = {<p style="text-align: justify;">This paper deals with Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes equation in a plane bounded domain, by using the so-called velocity-pressure mixed formulation. The quasi-optimal maximum norm error estimates of the velocity and its first derivatives and of the pressure are derived for nonconforming C-R scheme of stationary Navier-Stokes problem. The analysis is based on the weighted inf-sup condition and the technique of weighted Sobolev norm. By the way, the optimal $L^2$-error estimate for nonconforming finite element approximation is obtained.</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9030},
url = {https://global-sci.com/article/85537/maximum-norm-error-estimates-of-crouzeix-raviart-nonconforming-finite-element-approximation-of-navier-stokes-problem}
}