The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems
Numerical Analysis
2025-08-05 v1 Numerical Analysis
Abstract
In this paper, we first introduce an abstract framework to solve the eigenvalue problem by weak Galerkin (WG) method. By the application of the framework, WG method is proved to be locking-free and gives asymptotic lower bounds for the elastic eigenvalue problem. Also, we analyze the lower bound property for Crouzeix-Raviart (CR) element as an extensional work. In the end, we present some numerical experiments to support the theoretical results.
Keywords
Cite
@article{arxiv.2508.02064,
title = {The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems},
author = {Wei Lu and Hehu Xie and Qilong Zhai},
journal= {arXiv preprint arXiv:2508.02064},
year = {2025}
}