On norms and traces of the derivatives of the $L^2$-projection error
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912868067180544 |
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| author | Linß, Torsten Xenophontos, Christos |
| author_facet | Linß, Torsten Xenophontos, Christos |
| contents | We provide error bounds on the traces and norms of the derivative of the $L^2$ projection of an $H^{k}$ function onto the space of polynomials of degree $\leq p$. The bounds are explicit in the order of differentiation and the polynomial degree $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06625 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On norms and traces of the derivatives of the $L^2$-projection error Linß, Torsten Xenophontos, Christos Numerical Analysis 33C45, 33D45, 65N35, 65N99 We provide error bounds on the traces and norms of the derivative of the $L^2$ projection of an $H^{k}$ function onto the space of polynomials of degree $\leq p$. The bounds are explicit in the order of differentiation and the polynomial degree $p$. |
| title | On norms and traces of the derivatives of the $L^2$-projection error |
| topic | Numerical Analysis 33C45, 33D45, 65N35, 65N99 |
| url | https://arxiv.org/abs/2601.06625 |