A New Locking-Free Virtual Element Method for Linear Elasticity Problems
Year: 2023
Author: Jianguo Huang, Sen Lin, Yue Yu
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 352–384
Abstract
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 ˜K with additional vertices consisting of interior points on edges of K, so that the discrete admissible space is taken as the V1 type virtual element space related to the partition {˜K} instead of {K}. The method is proved to converge with optimal convergence order both in H1 and L2 norms and uniformly with respect to the Lamé constant λ. Numerical tests are presented to illustrate the good performance of the proposed VEM and confirm the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2023-0024
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 352–384
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Virtual element method linear elasticity locking-free numerical tests.
Author Details
Jianguo Huang Email
Sen Lin Email
Yue Yu Email
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A locking-free virtual element method for 3D linear elasticity problems
Huang, Jianguo
Wang, Wenxuan
Applied Mathematics Letters, Vol. 160 (2025), Iss. P.109333
https://doi.org/10.1016/j.aml.2024.109333 [Citations: 0]