A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

Authors

  • Yulei Liao School of Mathematics, Renmin University of China, No. 59, Zhongguancun Street, Beijing 100872, China
  • Pingbing Ming LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China

DOI:

https://doi.org/10.4208/aamm.OA-2018-0268

Keywords:

Nonconforming finite elements, strain gradient elasticity, uniform error estimate.

Abstract

We propose a family of nonconforming rectangular elements for the linear strain gradient elastic model. Optimal error estimates uniformly with respect to the small material parameter have been proved. Numerical results confirm the theoretical prediction.

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Published

2021-07-01

Issue

Vol. 11 No. 6 (2019)

Section

Articles