Two robust nonconforming \(H^2\)-elements for linear strain gradient elasticity

DOI10.1007/s00211-017-0890-xzbMath1457.65206arXiv1604.02187OpenAlexW2963262008MaRDI QIDQ1679214

Hongliang Li, Pingbing Ming, Zhong-Ci Shi

Publication date: 8 November 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02187

zbMATH Keywords

finite elementsstrain gradient elasticity

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Plates (74K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting) ⋮ The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems ⋮ A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model ⋮ An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers ⋮ Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems ⋮ Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model ⋮ A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity ⋮ \(H^2\)-Korn's inequality and the nonconforming elements for the strain gradient elastic model

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