Discontinuous piecewise polynomial approximation on non-Lipschitz domains

Mathematics of Computation 2026 Open access

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Authors: David P. Hewett
DOI: 10.1090/mcom/4250
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Approximation and Integration Advanced Harmonic Analysis Research Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Mathematics of Computation
Publication date
16 July 2026
Language
EN