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Two robust nonconforming -elements for linear strain gradient elasticity
Li, Hongliang1; Ming, Pingbing2,3; Shi, Zhong-ci2,3
2017-11-01
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume137Issue:3Pages:691-711
AbstractWe propose two finite elements to approximate a boundary value problem arising from strain gradient elasticity, which is a high order perturbation of the linearized elastic system. Our elements are -nonconforming while -conforming. We show both elements converge in the energy norm uniformly with respect to the perturbation parameter.
DOI10.1007/s00211-017-0890-x
Language英语
Funding ProjectScience Challenge Project[TZ 2016003] ; National Natural Science Foundation of China for Distinguished Young Scholars[11425106] ; National Natural Science Foundation of China[91630313] ; National Natural Science Foundation of China[11371359] ; CAS NCMIS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000413010600006
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26755
Collection计算数学与科学工程计算研究所
Affiliation1.China Acad Engn Phys, Inst Elect Engn, Mianyang 621900, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Hongliang,Ming, Pingbing,Shi, Zhong-ci. Two robust nonconforming -elements for linear strain gradient elasticity[J]. NUMERISCHE MATHEMATIK,2017,137(3):691-711.
APA Li, Hongliang,Ming, Pingbing,&Shi, Zhong-ci.(2017).Two robust nonconforming -elements for linear strain gradient elasticity.NUMERISCHE MATHEMATIK,137(3),691-711.
MLA Li, Hongliang,et al."Two robust nonconforming -elements for linear strain gradient elasticity".NUMERISCHE MATHEMATIK 137.3(2017):691-711.
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