Title | ||
---|---|---|
Two robust nonconforming \(\hbox {H}^2\) -elements for linear strain gradient elasticity. |
Abstract | ||
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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 Li | 1 | 1833 | 101.92 |
Pingbing Ming | 2 | 72 | 12.02 |
Zhong-ci Shi | 3 | 97 | 12.23 |