STABILIZED TWO-GRID DISCRETIZATIONS OF LOCKING FREE FOR THE ELASTICITY EIGENVALUE PROBLEM

Xuqing Zhang; Yidu Yang; Hai Bi

doi:10.11948/20220048

2024 Volume 14 Issue 4

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Article navigation > Journal of Applied Analysis & Computation > 2024 > 14(4): 1831-1853

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Xuqing Zhang, Yidu Yang, Hai Bi. STABILIZED TWO-GRID DISCRETIZATIONS OF LOCKING FREE FOR THE ELASTICITY EIGENVALUE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 1831-1853. doi: 10.11948/20220048

Citation:

Xuqing Zhang, Yidu Yang, Hai Bi. STABILIZED TWO-GRID DISCRETIZATIONS OF LOCKING FREE FOR THE ELASTICITY EIGENVALUE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 1831-1853. doi: 10.11948/20220048

STABILIZED TWO-GRID DISCRETIZATIONS OF LOCKING FREE FOR THE ELASTICITY EIGENVALUE PROBLEM

1.
School of Biology & Engineering, Guizhou Medical University, Guiyang 550025, China
2.
School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China

Author Bio: Email: zhxuqing1230@126.com(X. Zhang); Email: ydyang@gznu.edu.cn(Y. Yang)
Corresponding author: Email: bihaimath@gznu.edu.cn(H. Bi)

Abstract

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.
- Elasticity eigenvalue problem /
- two-grid discretizations /
- stabilization /
- nonconforming Crouzeix-Raviart finite element /
- locking free
MSC: 65N25, 65N30

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References

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