Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains

doi:10.4208/aamm.OA-2019-0081

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	Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains
	Zhang, Shuo
	2020-08-01
发表期刊	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
ISSN	2070-0733
卷号	12 期号:4 页码:1008-1034
摘要	In this paper, we study the mixed element schemes of the Reissner-Mindlin plate model and the Kirchhoff plate model in multiply-connected domains. Constructing a regular decomposition of H-0 (rot, Omega) and a Helmholtz decomposition of its dual, we develop mixed formulations of the models which are equivalent to the primal ones respectively and which are uniformly stable. We then present frameworks of designing uniformly stable mixed finite element schemes and of generating primal finite element schemes from the mixed ones. Specific finite elements are given under the frameworks as an example, and the primal scheme obtained coincides with a Duran-Liberman scheme which was constructed originally on simply-connected domains. Optimal solvers are constructed for the schemes.
关键词	Reissner-Mindlin plate Kirchhoff plate multiply-connected domain uniformly optimal solver regular decomposition
DOI	10.4208/aamm.OA-2019-0081
收录类别	SCI
语种	英语
资助项目	NSFC[11471026] ; NSFC[11871465] ; NCMIS, Chinese Academy of Sciences
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000538166100008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51564
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Shuo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo. Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2020,12(4):1008-1034.
APA	Zhang, Shuo.(2020).Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,12(4),1008-1034.
MLA	Zhang, Shuo."Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 12.4(2020):1008-1034.