A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

Author(s)

    Yulei Liao
    School of Mathematics, Renmin University of China, No. 59, Zhongguancun Street, Beijing 100872, China, Renmin Univ China, Sch Math, 59 Zhongguancun St, Beijing 100872, Peoples R China
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&
    Pingbing Ming
    LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China, AMSS Chinese Acad Sci, LSEC, Inst Computat Math, 55 East Rd Zhongguancun, Beijing 100190, Peoples R China, Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
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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.

Keywords:

Nonconforming finite elements strain gradient elasticity uniform error estimate.
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DOI

10.4208/aamm.OA-2018-0268
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