@Article{AAM-40-43,
author = {Lai , YanmingLiang , KeweiLin , PingLu , Xiliang and Quan , Qimeng},
title = {Error Analysis of the Nonconforming $P_1$ Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations},
journal = {Annals of Applied Mathematics},
year = {2024},
volume = {40},
number = {1},
pages = {43--70},
abstract = {<p style="text-align: justify;">In this paper we investigate the nonconforming $P_1$ finite element approximation to the sequential regularization method for unsteady Navier-Stokes
equations. We provide error estimates for a full discretization scheme. Typically, conforming $P_1$ finite element methods lead to error bounds that depend
inversely on the penalty parameter $\epsilon.$ We obtain an $\epsilon$-uniform error bound by
utilizing the nonconforming $P_1$ finite element method in this paper. Numerical
examples are given to verify theoretical results.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2023-0016},
url = {http://global-sci.org/intro/article_detail/aam/22927.html}
}