Lower eigenvalue bounds with hybrid high-order methods
Numerical Analysis
2026-04-23 v3 Numerical Analysis
Abstract
This paper proposes hybrid high-order eigensolvers for the computation of guaranteed lower eigenvalue bounds. These bounds display higher order convergence rates and are accessible to adaptive mesh-refining algorithms. The involved constants arise from local embeddings and are available for all polynomial degrees. Applications include the linear elasticity and Steklov eigenvalue problem.
Cite
@article{arxiv.2406.06244,
title = {Lower eigenvalue bounds with hybrid high-order methods},
author = {Ngoc Tien Tran},
journal= {arXiv preprint arXiv:2406.06244},
year = {2026}
}