Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Preprint |
| Baskı/Yayın Bilgisi: |
2026
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| Konular: | |
| Online Erişim: | https://arxiv.org/abs/2602.04490 |
| Etiketler: |
Etiketle
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İçindekiler:
- We introduce computable projection operators onto piecewise polynomial spaces, defined via sampling and discrete least-squares polynomial approximations. The resulting mappings exhibit (almost) optimal approximation properties in $L^2$ and $H^{-1}$. As smoothers for incomplete or rough data, they yield computable finite element discretizations with optimal convergence rates.