@article{Tai2024, 
author = {Yue Tai and Xiuli Wang and Weishi Yin and Pinchao Meng},
title = {Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term},
year = {2024},
journal = {Networks and Heterogeneous Media},
volume = {19},
number = {2},
pages = {475-499},
keywords = {weak Galerkin finite element method, discrete weak gradient, Navier-Stokes equation, nonlinear term},
url = {https://www.sciopen.com/article/10.3934/nhm.2024021},
doi = {10.3934/nhm.2024021},
abstract = {The primary focus of this research was to investigate the weak Galerkin (WG) finite element method for the Navier-Stokes equations with damping. We established the weak Galerkin finite element numerical scheme and demonstrated the existence and uniqueness of the weak Galerkin numerical solution. Additionally, optimal errors estimates for the velocity and pressure were obtained. Eventually, numerous numerical examples were reported to validate the theoretical analysis.}
}