English

The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems

Numerical Analysis 2025-08-05 v1 Numerical Analysis

Abstract

In this paper, we present a two-gird skill to accelerate the weak Galerkin method. By the proper use of parameters, the two-grid weak Galerkin method not only doubles the convergence rate, but also maintains the asymptotic lower bounds property of the weak Galerkin (WG) method. Moreover, we propose an enriched Crouzeix-Raviart (ECR) scheme, which can also provide lower bounds for the linear elastic eigenvalue problems.

Keywords

Cite

@article{arxiv.2508.02065,
  title  = {The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems},
  author = {Wei Lu and Qilong Zhai},
  journal= {arXiv preprint arXiv:2508.02065},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:1708.08183

R2 v1 2026-07-01T04:32:37.336Z