A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

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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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[1]
2021. A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity. Advances in Applied Mathematics and Mechanics. 11, 6 (July 2021), 1263–1286. DOI:https://doi.org/10.4208/aamm.OA-2018-0268.