@Article{AAMM-14-248,
author = {Li , MinghaoLi , Zhenzhen and Shi , Dongyang},
title = {Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {14},
number = {1},
pages = {248--274},
abstract = {<p style="text-align: justify;">In this paper, the transient Navier-Stokes equations with damping are considered. Firstly, the semi-discrete scheme is discussed and optimal error estimates are derived. Secondly, a linearized backward Euler scheme is proposed. By the error split technique, the Stokes operator and the $H^{-1}$-norm estimate, unconditional optimal error estimates for the velocity in the norms ${L^\infty}(L^2)$ and ${L^\infty}(H^1)$, and the pressure in the norm ${L^\infty}(L^2)$ are deduced. Finally, two numerical examples are provided to confirm the theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0239},
url = {http://global-sci.org/intro/article_detail/aamm/19984.html}
}