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Nonstandard finite element de Rham complexes on cubical meshes

文献类型：期刊论文

作者Gillette, Andrew1; Hu, Kaibo2; Zhang, Shuo3,4
刊名BIT NUMERICAL MATHEMATICS
出版日期2020-06-01
卷号60期号:2页码:373-409
关键词Finite element Nonconforming element de Rham complex
ISSN号0006-3835
DOI10.1007/s10543-019-00779-y
英文摘要Two general operations are proposed on finite element differential complexes on cubical meshes that can be used to construct and analyze sequences of "nonstandard" convergent methods. The first operation, called DoF-transfer, moves edge degrees of freedom to vertices in a way that reduces global degrees of freedom while increasing continuity order at vertices. The second operation, called serendipity, eliminates interior bubble functions and degrees of freedom locally on each element without affecting edge degrees of freedom. These operations can be used independently or in tandem to create nonstandard complexes that incorporate Hermite, Adini and "trimmed-Adini" elements. The resulting elements lead to convergent non-conforming methods for problems requiring stronger regularity and satisfy a discrete Korn inequality. Potential benefits of applying these elements to Stokes, biharmonic and elasticity problems are discussed.
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000537469000005
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51566]  
专题中国科学院数学与系统科学研究院
通讯作者Hu, Kaibo
作者单位1.Univ Arizona, Dept Math, 617 N Santa Rita Ave, Tucson, AZ 85721 USA
2.Univ Minnesota, Sch Math, 206 Church St SE, Minneapolis, MN 55455 USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
4.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Gillette, Andrew,Hu, Kaibo,Zhang, Shuo. Nonstandard finite element de Rham complexes on cubical meshes[J]. BIT NUMERICAL MATHEMATICS,2020,60(2):373-409.
APA Gillette, Andrew,Hu, Kaibo,&Zhang, Shuo.(2020).Nonstandard finite element de Rham complexes on cubical meshes.BIT NUMERICAL MATHEMATICS,60(2),373-409.
MLA Gillette, Andrew,et al."Nonstandard finite element de Rham complexes on cubical meshes".BIT NUMERICAL MATHEMATICS 60.2(2020):373-409.

入库方式： OAI收割

来源：数学与系统科学研究院

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