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 Electronic Research Archive Article
PDF (735.8 KB)
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

A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes

Suayip Toprakseven1( ), Seza Dinibutun2
Department of Mathematics, Yozgat Bozok University, Yozgat, Turkey
Department of Mathematics and Natural Sciences, International University of Kuwait, Ardiya, Kuwait
Show Author Information

Abstract

In this paper, we designed and analyzed a weak Galerkin finite element method on layer adapted meshes for solving the time-dependent convection-dominated problems. Error estimates for semi-discrete and fully-discrete schemes were presented, and the optimal order of uniform convergence has been obtained. A special interpolation was delicately designed based on the structures of the designed method and layer-adapted meshes. We provided various numerical examples to confirm the theoretical findings.

Keywords

time dependent singularly perturbed problemweak Galerkin methodsemi-discrete and fully discrete schemeslayer-adapted-meshes

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 32 Issue 8,
August 2024
Pages 5033-5066
DOI: 10.3934/era.2024232

{{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:
Toprakseven S, Dinibutun S. A weak Galerkin finite element method for parabolic singularly perturbed convection-diffusion equations on layer-adapted meshes. Electronic Research Archive, 2024, 32(8): 5033-5066. https://doi.org/10.3934/era.2024232

545

Views

28

Downloads

8

Crossref

8

Web of Science

8

Scopus
Received: 17 July 2024
Revised: 17 August 2024
Accepted: 19 August 2024
Published: 22 August 2024
©2024 the Author(s), licensee AIMS Press.

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