Volume 11, Issue 6
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

Yulei Liao & Pingbing Ming

Adv. Appl. Math. Mech., 11 (2019), pp. 1263-1286.

Published online: 2019-09

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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.

  • AMS Subject Headings

65N30, 65N15, 74K20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liaoyulei@ruc.edu.cn (Yulei Liao)

mpb@lsec.cc.ac.cn (Pingbing Ming)

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