A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
Adv. Appl. Math. Mech., 11 (2019), pp. 1263-1286.
Published online: 2019-09
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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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