Discontinuous piecewise polynomial approximation on non-Lipschitz domains
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866914385957486592 |
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| author | Hewett, D P |
| author_facet | Hewett, D P |
| contents | We prove best approximation error estimates for discontinuous piecewise polynomial approximation in fractional Sobolev spaces on non-Lipschitz meshes of non-Lipschitz domains. In particular, the boundary of the domain, and the boundaries of the mesh elements, can be fractal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discontinuous piecewise polynomial approximation on non-Lipschitz domains Hewett, D P Numerical Analysis 41A10, 41A25, 65N30, 65N38 We prove best approximation error estimates for discontinuous piecewise polynomial approximation in fractional Sobolev spaces on non-Lipschitz meshes of non-Lipschitz domains. In particular, the boundary of the domain, and the boundaries of the mesh elements, can be fractal. |
| title | Discontinuous piecewise polynomial approximation on non-Lipschitz domains |
| topic | Numerical Analysis 41A10, 41A25, 65N30, 65N38 |
| url | https://arxiv.org/abs/2511.22628 |