CSpace
 Computable Interpolation Error Constants for the Geometric Simplex Finite Elements Hao, Tingting1; Guan, Xiaofei1; Mao, Shipeng2,3; Chen, Shaochun4 2021-04-01 Source Publication JOURNAL OF SCIENTIFIC COMPUTING ISSN 0885-7474 Volume 87Issue:1Pages:21 Abstract 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. Keyword Error Estimation Interpolation error constants Geometric simplex meshes Finite element methods DOI 10.1007/s10915-021-01449-4 Indexed By SCI Language 英语 Funding Project 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 Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000628456800001 Publisher SPRINGER/PLENUM PUBLISHERS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/58355 Collection 中国科学院数学与系统科学研究院 Corresponding Author Guan, Xiaofei Affiliation 1.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China2.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China3.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China4.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Hao, Tingting]'s Articles [Guan, Xiaofei]'s Articles [Mao, Shipeng]'s Articles Baidu academic Similar articles in Baidu academic [Hao, Tingting]'s Articles [Guan, Xiaofei]'s Articles [Mao, Shipeng]'s Articles Bing Scholar Similar articles in Bing Scholar [Hao, Tingting]'s Articles [Guan, Xiaofei]'s Articles [Mao, Shipeng]'s Articles Terms of Use No data! Social Bookmark/Share