Randomized Projection Operators onto Piecewise Polynomial Spaces
Numerical Analysis
2026-02-05 v1 Numerical Analysis
Abstract
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 and . As smoothers for incomplete or rough data, they yield computable finite element discretizations with optimal convergence rates.
Cite
@article{arxiv.2602.04490,
title = {Randomized Projection Operators onto Piecewise Polynomial Spaces},
author = {Johannes Storn},
journal= {arXiv preprint arXiv:2602.04490},
year = {2026}
}