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THE QUADRATIC SPECHT TRIANGLE
Li, Hongliang1; Ming, Pingbing2,3; Shi, Zhongci2,3
2020
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume38Issue:1Pages:103-124
AbstractWe 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.
KeywordSpecht triangle Plate bending element Basis functions
DOI10.4208/jcm.1905-m2018-0195
Indexed BySCI
Language英语
Funding ProjectScience 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 AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000512912500006
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50865
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, Hongliang
Affiliation1.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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