AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Networks and Heterogeneous Media Article
PDF (2.3 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term

Yue Tai1, Xiuli Wang2, Weishi Yin1, Pinchao Meng1( )
School of Mathematics and Statistics, Changchun University of Science and Technology, 7089. Weixing Rd, Changchun, Jilin 130022, China
Department of Mathematics, Jilin University, 2699. Qianjin Ave, Changchun, Jilin 130012, China
Show Author Information

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.

Keywords

weak Galerkin finite element methoddiscrete weak gradientNavier-Stokes equationnonlinear term

References

【1】
【1】
 
 
Crossref Google Scholar
Networks and Heterogeneous Media
Volume 19 Issue 2,
September 2024
Pages 475-499
DOI: 10.3934/nhm.2024021

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Tai Y, Wang X, Yin W, et al. Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term. Networks and Heterogeneous Media, 2024, 19(2): 475-499. https://doi.org/10.3934/nhm.2024021

687

Views

51

Downloads

4

Crossref

4

Web of Science

4

Scopus
Received: 29 December 2023
Revised: 03 April 2024
Accepted: 23 April 2024
Published: 28 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)