A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
Numerical Analysis
2026-04-07 v1 Numerical Analysis
Abstract
In this paper, we discuss a novel higher-order stabilization-free virtual element method for general second-order elliptic eigenvalue problems. Optimal a priori error estimates are derived for both the approximate eigenspace and eigenvalues. Numerical experiments are conducted on regular convex polygonal meshes, convex-concave polygonal meshes, and concave polygonal meshes. The numerical results validate the effectiveness of the proposed method.
Cite
@article{arxiv.2604.03727,
title = {A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem},
author = {Liangkun Xu and Shixi Wang and Yidu Yang and Hai Bi},
journal= {arXiv preprint arXiv:2604.03727},
year = {2026}
}