Partition of unity method on nonmatching grids for the Stokes problem

C. Bacuta, Jinru Chen, Yunqing Huang, Jinchao Xu, L. Zikatanov
{"title":"Partition of unity method on nonmatching grids for the Stokes problem","authors":"C. Bacuta, Jinru Chen, Yunqing Huang, Jinchao Xu, L. Zikatanov","doi":"10.1515/156939505774286148","DOIUrl":null,"url":null,"abstract":"We consider the Stokes problem on a plane polygonal domain We propose a finite element method for overlapping or nonmatching grids for the Stokes problem based on the partition of unity method. We prove that the discrete inf-sup condition holds with a constant independent of the overlapping size of the subdomains. The results are valid for multiple subdomains and any spatial dimension.","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/156939505774286148","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10

Abstract

We consider the Stokes problem on a plane polygonal domain We propose a finite element method for overlapping or nonmatching grids for the Stokes problem based on the partition of unity method. We prove that the discrete inf-sup condition holds with a constant independent of the overlapping size of the subdomains. The results are valid for multiple subdomains and any spatial dimension.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Stokes问题非匹配网格的单位划分方法
考虑平面多边形域上的Stokes问题,提出了基于单位划分法的重叠网格或不匹配网格的有限元求解方法。证明了子域的重叠大小与一个常数无关,该条件成立。结果适用于多个子域和任何空间维度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs High performance domain decomposition methods on massively parallel architectures with freefem++ New development in freefem++ Angles between subspaces and their tangents
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1