@Article{JCM-39-1,
author = {Yang, Huaijun and Shi, Dongyang and Qian, Liu},
title = {Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations},
journal = {Journal of Computational Mathematics},
year = {2021},
volume = {39},
number = {1},
pages = {63--80},
abstract = {<p style="text-align: justify;">In this paper, the superconvergence properties of the time-dependent Navier-Stokes equations are investigated by a low order nonconforming mixed finite element method (MFEM). In terms of the integral identity technique, the superclose error estimates for both the velocity in broken $H^1$-norm and the pressure in $L^2$-norm are first obtained, which play a key role to bound the numerical solution in $L^{\infty}$-norm. Then the corresponding global superconvergence results are derived through a suitable interpolation postprocessing approach. Finally, some numerical results are provided to demonstrate the theoretical analysis.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1907-m2018-0263},
url = {https://global-sci.com/article/84218/superconvergence-analysis-of-low-order-nonconforming-mixed-finite-element-methods-for-time-dependent-navier-stokes-equations}
}