Lower eigenvalue bounds with hybrid high-order methods
<|reference_start|>Lower eigenvalue bounds with hybrid high-order methods: 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.<|reference_end|>
@article{tran2024lower,
    title={Lower eigenvalue bounds with hybrid high-order methods},
    author={Ngoc Tien Tran},
    journal={arXiv preprint arXiv:2406.06244},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.06244},
    primaryClass={math.NA cs.NA}
}