@Article{AAM-39-352,
author = {Huang , JianguoLin , Sen and Yu , Yue},
title = {A New Locking-Free Virtual Element Method for Linear Elasticity Problems},
journal = {Annals of Applied Mathematics},
year = {2023},
volume = {39},
number = {3},
pages = {352--384},
abstract = {<p style="text-align: justify;">This paper devises a new lowest-order conforming virtual element method (VEM) for planar linear elasticity with the pure displacement/traction boundary condition. The main trick is to view a generic polygon $K$ as a new one $\widetilde{K}$ with additional vertices consisting of interior points on edges of $K$, so that the discrete admissible space is taken as the $V_1$ type virtual element space related to the partition $\{\widetilde{K}\}$ instead of $\{K\}$. The method is proved to converge with optimal convergence order both in $H^1$ and $L^2$ norms and uniformly with respect to the Lamé constant $\lambda$. Numerical tests are presented to illustrate the good performance of the proposed VEM and confirm the theoretical results.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2023-0024},
url = {http://global-sci.org/intro/article_detail/aam/21997.html}
}