Computable Interpolation Error Constants for the Geometric Simplex Finite Elements
文献类型：期刊论文
| 作者 | Hao, Tingting1; Guan, Xiaofei1; Mao, Shipeng2,3; Chen, Shaochun4 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2021-04-01 |
| 卷号 | 87期号:1页码:21 |
| 关键词 | Error Estimation Interpolation error constants Geometric simplex meshes Finite element methods |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-021-01449-4 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000628456800001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58354]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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