Randomized Projection Operators onto Piecewise Polynomial Spaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908812843155456 |
|---|---|
| author | Storn, Johannes |
| author_facet | Storn, Johannes |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04490 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Randomized Projection Operators onto Piecewise Polynomial Spaces Storn, Johannes Numerical Analysis 65N30, 65N15, 65N50, 65D30, 65D32 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. |
| title | Randomized Projection Operators onto Piecewise Polynomial Spaces |
| topic | Numerical Analysis 65N30, 65N15, 65N50, 65D30, 65D32 |
| url | https://arxiv.org/abs/2602.04490 |