KMS Of Academy of mathematics and systems sciences, CAS
THE QUADRATIC SPECHT TRIANGLE | |
Li, Hongliang1; Ming, Pingbing2,3; Shi, Zhongci2,3 | |
2020 | |
Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS
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ISSN | 0254-9409 |
Volume | 38Issue:1Pages:103-124 |
Abstract | We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence. They may be viewed as the second order Specht triangle, while the Specht triangle is one of the best first order plate bending element. The convergence result is proved under minimal smoothness assumption on the solution. Numerical results for both the smooth solution and nonsmmoth solution confirm the theoretical prediction. |
Keyword | Specht triangle Plate bending element Basis functions |
DOI | 10.4208/jcm.1905-m2018-0195 |
Indexed By | SCI |
Language | 英语 |
Funding Project | Science Challenge Project[TZ2016003] ; National Natural Science Foundation of China[11425106] ; National Natural Science Foundation of China[91630313] ; National Natural Science Foundation of China[11371359] ; CAS NCMIS |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000512912500006 |
Publisher | GLOBAL SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50865 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Li, Hongliang |
Affiliation | 1.Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 55 East Rd ZhongGuanCen, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Li, Hongliang,Ming, Pingbing,Shi, Zhongci. THE QUADRATIC SPECHT TRIANGLE[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2020,38(1):103-124. |
APA | Li, Hongliang,Ming, Pingbing,&Shi, Zhongci.(2020).THE QUADRATIC SPECHT TRIANGLE.JOURNAL OF COMPUTATIONAL MATHEMATICS,38(1),103-124. |
MLA | Li, Hongliang,et al."THE QUADRATIC SPECHT TRIANGLE".JOURNAL OF COMPUTATIONAL MATHEMATICS 38.1(2020):103-124. |
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