Lower eigenvalue bounds with hybrid high-order methods
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917428330496000 |
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| author | Tran, Ngoc Tien |
| author_facet | Tran, Ngoc Tien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lower eigenvalue bounds with hybrid high-order methods Tran, Ngoc Tien Numerical Analysis 65N25, 65N30 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. |
| title | Lower eigenvalue bounds with hybrid high-order methods |
| topic | Numerical Analysis 65N25, 65N30 |
| url | https://arxiv.org/abs/2406.06244 |