KMS Of Academy of mathematics and systems sciences, CAS
| 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 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 |
| Recommended Citation 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. |
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