@Article{AAM-40-1,
author = {Yanming, Lai and Liang, Kewei and Ping, Lin and Xiliang, Lu 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 = {https://global-sci.com/article/90855/error-analysis-of-the-nonconforming-p-1-finite-element-method-to-the-sequential-regularization-formulation-for-unsteady-navier-stokes-equations}
}