Title
Two robust nonconforming \(\hbox {H}^2\) -elements for linear strain gradient elasticity.
Abstract
We 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 \(\hbox {H}^2\)-nonconforming while \(\hbox {H}^1\)-conforming. We show both elements converge in the energy norm uniformly with respect to the perturbation parameter.
Year
DOI
Venue
2017
10.1007/s00211-017-0890-x
Numerische Mathematik
Keywords
Field
DocType
Primary 65N30, 65N15, Secondary 74K20
Strain (chemistry),Boundary value problem,Mathematical optimization,Mathematical analysis,Finite element method,Elasticity (economics),Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
137
3
0029-599X
Citations 
PageRank 
References 
1
0.39
2
Authors
3
Name
Order
Citations
PageRank
Hongliang Li11833101.92
Pingbing Ming27212.02
Zhong-ci Shi39712.23