Hexahedral constraint-free finite element method on meshes with hanging nodes

doi:10.1007/s11425-017-9261-5

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	Hexahedral constraint-free finite element method on meshes with hanging nodes
	Zhao, Xuying 1,2; Shi, Zhong-Ci 1
	2019-12-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	62 期号:12 页码:2591-2616
摘要	Nonconforming grids with hanging nodes are frequently used in adaptive finite element computations. In all earlier works on such methods, proper constraints should be enforced on degrees of freedom on edges/faces with hanging nodes to keep continuity, which yield numerical computations much complicated. In 2014, Zhao et al. (2014) presented quadrilateral constraint-free finite element methods on quadrilateral grids with hanging nodes. This paper further develops a hexahedral constraint-free finite element method on hexahedral grids with hanging nodes, which is of greater challenge than the two-dimensional case. Residual-based a posteriori error reliability and efficiency are also established in this paper.
关键词	adaptive finite element a posteriori error estimate hexahedral nonconforming element hanging node
DOI	10.1007/s11425-017-9261-5
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11371359]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000509102200011
出版者	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/50586
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Xuying
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Inst Computat Math & Sci Engn Comp,LSEC, Beijing 100190, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Xuying,Shi, Zhong-Ci. Hexahedral constraint-free finite element method on meshes with hanging nodes[J]. SCIENCE CHINA-MATHEMATICS,2019,62(12):2591-2616.
APA	Zhao, Xuying,&Shi, Zhong-Ci.(2019).Hexahedral constraint-free finite element method on meshes with hanging nodes.SCIENCE CHINA-MATHEMATICS,62(12),2591-2616.
MLA	Zhao, Xuying,et al."Hexahedral constraint-free finite element method on meshes with hanging nodes".SCIENCE CHINA-MATHEMATICS 62.12(2019):2591-2616.