版权说明 操作指南
首页 > 成果 > 成果详情

The Optimal L2-Norm Error Estimate of a Weak Galerkin Finite Element Method for a Multi-Dimensional Evolution Equation with a Weakly Singular Kernel

认领
导出
Link by DOI
反馈
分享
QQ微信 微博
成果类型:
期刊论文
作者:
Haopan Zhou;Jun Zhou*;Hongbin Chen
通讯作者:
Jun Zhou
作者机构:
[Hongbin Chen] College of Computer Science and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China
[Haopan Zhou] Bangor College, Central South University of Forestry and Technology, Changsha 410004, China
Author to whom correspondence should be addressed.
[Jun Zhou] College of Computer Science and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China<&wdkj&>Author to whom correspondence should be addressed.
通讯机构:
[Jun Zhou] C
College of Computer Science and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China<&wdkj&>Author to whom correspondence should be addressed.
语种:
英文
关键词:
evolution equation;weakly singular kernel;weak Galerkin finite element method;backward Euler method;stability and convergence
期刊:
Fractal and Fractional
ISSN:
2504-3110
年:
2025
卷:
9
期:
6
页码:
368-
基金类别:
Conceptualization, J.Z.; methodology, H.Z. and J.Z.; software, H.Z. and J.Z.; validation, H.Z., J.Z. and H.C.; formal analysis, H.Z., J.Z. and H.C.; investigation, H.Z. and J.Z.; resources, J.Z.; data curation, H.Z.; writing—original draft preparation, H.Z.; writing—review and editing, J.Z. and H.C.; visualization, H.Z. and J.Z.; supervision, J.Z.; project administration, H.Z. and J.Z.; funding acquisition, J.Z. and H.C. All authors have read and agreed to the published version of the manuscript. The research of the second author is partially supported by the Scientific Research Foundation of Education Department of Hunan Province (No: 24B0240). The research of the third author is partially supported by the Natural Science Foundation of Hunan Province (No: 2022JJ30996) and the Natural Science Foundation of Changsha (No: KQ2402246).
机构署名:
本校为第一且通讯机构
院系归属:
班戈学院
摘要:
This paper proposes a weak Galerkin (WG) finite element method for solving a multi-dimensional evolution equation with a weakly singular kernel. The temporal discretization employs the backward Euler scheme, while the fractional integral term is approximated via a piecewise constant function method. A fully discrete scheme is constructed by integrating the WG finite element approach for spatial discretization. L2-norm stability and convergence analysis of the fully discrete scheme are rigorously established. Numerical experiments are conducted ...

反馈

验证码:
看不清楚,换一个
确定
取消

成果认领

标题:
用户 作者 通讯作者
请选择
请选择
确定
取消

提示

该栏目需要登录且有访问权限才可以访问

如果您有访问权限,请直接 登录访问

如果您没有访问权限,请联系管理员申请开通

管理员联系邮箱:yun@hnwdkj.com