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)

  • BibTex
  • RIS
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@Article{AAMM-11-1263, author = {Liao , Yulei and Ming , Pingbing }, title = {A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {6}, pages = {1263--1286}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0268}, url = {http://global-sci.org/intro/article_detail/aamm/13304.html} }
TY - JOUR T1 - A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity AU - Liao , Yulei AU - Ming , Pingbing JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1263 EP - 1286 PY - 2019 DA - 2019/09 SN - 11 DO - http://doi.org/10.4208/aamm.OA-2018-0268 UR - https://global-sci.org/intro/article_detail/aamm/13304.html KW - Nonconforming finite elements, strain gradient elasticity, uniform error estimate. AB -

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.

Yulei Liao & Pingbing Ming. (2019). A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity. Advances in Applied Mathematics and Mechanics. 11 (6). 1263-1286. doi:10.4208/aamm.OA-2018-0268
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