Computable Interpolation Error Constants for the Geometric Simplex Finite Elements

doi:10.1007/s10915-021-01449-4

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	Computable Interpolation Error Constants for the Geometric Simplex Finite Elements
	Hao, Tingting 1; Guan, Xiaofei 1; Mao, Shipeng 2,3; Chen, Shaochun 4
	2021-04-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	87 期号:1 页码:21
摘要	In this paper, a novel high accuracy computation method for interpolation error constants is proposed over the geometric simplex finite elements. Firstly, the expansions of bounded linear operators are employed to derive the explicit estimate of interpolation error constants, which depend only on the shape of the geometric simplex finite elements and the definition of interpolation functions. Then, this method is applied to the linear interpolation function, and the results are consistent with our analysis. Finally, some numerical examples are given to validate our analysis. Such high accuracy computation method for interpolation error constants are beneficial attempts to accelerate the adaptive computation and verification of finite element solutions.
关键词	Error Estimation Interpolation error constants Geometric simplex meshes Finite element methods
DOI	10.1007/s10915-021-01449-4
收录类别	SCI
语种	英语
资助项目	Science Challenge Project[TZ2018001] ; National Natural Science Foundation of China[11871467] ; National Natural Science Foundation of China[11371331] ; National Natural Science Foundation of China[11301392] ; Shanghai Peak Discipline Program for Higher Education Institutions (Class I)-Civil Engineering ; Fundamental Research Funds for the Central Universities[22120180529]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000628456800001
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58355
专题	中国科学院数学与系统科学研究院
通讯作者	Guan, Xiaofei
作者单位	1.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 2.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China 4.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
推荐引用方式 GB/T 7714	Hao, Tingting,Guan, Xiaofei,Mao, Shipeng,et al. Computable Interpolation Error Constants for the Geometric Simplex Finite Elements[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,87(1):21.
APA	Hao, Tingting,Guan, Xiaofei,Mao, Shipeng,&Chen, Shaochun.(2021).Computable Interpolation Error Constants for the Geometric Simplex Finite Elements.JOURNAL OF SCIENTIFIC COMPUTING,87(1),21.
MLA	Hao, Tingting,et al."Computable Interpolation Error Constants for the Geometric Simplex Finite Elements".JOURNAL OF SCIENTIFIC COMPUTING 87.1(2021):21.