| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2022-0048 |
| Stabilized two-grid discretizations of locking free for the elasticity eigenvalue problem |
| Xuqing Zhang,Yidu Yang,Hai Bi |
| Keywords:Elasticity eigenvalue problem, Two-grid discretizations, Stabilization, Nonconforming Crouzeix-Raviart finite element, Locking free |
| Abstract: |
| In this paper, we propose two stabilized two-grid finite element discretizations for nearly incompressible elasticity eigenvalue problem and give the error estimates of eigenvalues and eigenfunctions for the schemes. Numerical experiments are provided to validate our theoretical analysis and exhibit that our schemes are locking free and highly efficient. |
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