THE QUADRATIC SPECHT TRIANGLE | |
Li, Hongliang2; Ming, Pingbing1,3; Shi, Zhongci1,3 | |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS |
2020 | |
卷号 | 38期号:1页码:103-124 |
关键词 | Specht triangle Plate bending element Basis functions |
ISSN号 | 0254-9409 |
DOI | 10.4208/jcm.1905-m2018-0195 |
英文摘要 | 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. |
资助项目 | 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研究方向 | Mathematics |
语种 | 英语 |
出版者 | GLOBAL SCIENCE PRESS |
WOS记录号 | WOS:000512912500006 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50864] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, Hongliang |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 55 East Rd ZhongGuanCen, Beijing 100190, Peoples R China 2.Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 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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