Discontinuous piecewise polynomial approximation on non-Lipschitz domains
Numerical Analysis
2026-03-12 v2 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2511.22628,
title = {Discontinuous piecewise polynomial approximation on non-Lipschitz domains},
author = {D P Hewett},
journal= {arXiv preprint arXiv:2511.22628},
year = {2026}
}