Two robust nonconforming H$^2-$elements for linear strain gradient elasticity
Numerical Analysis
2017-04-26 v2
Abstract
We propose two nonconforming finite elements to approximate a boundary value problem arising from strain gradient elasticity, which is a higher-order perturbation of the linearized elastic system. Our elements are Hnonconforming while Hconforming. We show both elements converges in the energy norm uniformly with respect to the perturbation parameter.
Keywords
Cite
@article{arxiv.1604.02187,
title = {Two robust nonconforming H$^2-$elements for linear strain gradient elasticity},
author = {Hongliang Li and Pingbing Ming and Zhong-ci Shi},
journal= {arXiv preprint arXiv:1604.02187},
year = {2017}
}