Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915144582299648 |
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| author | Botti, Michele Mascotto, Lorenzo Vacca, Giuseppe Visinoni, Michele |
| author_facet | Botti, Michele Mascotto, Lorenzo Vacca, Giuseppe Visinoni, Michele |
| contents | We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope under consideration and the degree of accuracy of the scheme. We further investigate numerically the behaviour of the constants appearing in the stability estimates on sequences of badly-shaped polytopes and for increasing degree of accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability and interpolation estimates of Hellinger-Reissner virtual element spaces Botti, Michele Mascotto, Lorenzo Vacca, Giuseppe Visinoni, Michele Numerical Analysis 65N12, 65N30 We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope under consideration and the degree of accuracy of the scheme. We further investigate numerically the behaviour of the constants appearing in the stability estimates on sequences of badly-shaped polytopes and for increasing degree of accuracy. |
| title | Stability and interpolation estimates of Hellinger-Reissner virtual element spaces |
| topic | Numerical Analysis 65N12, 65N30 |
| url | https://arxiv.org/abs/2502.06286 |