Discontinuous piecewise polynomial approximation on non-Lipschitz domains

David P Hewett

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arXiv · 2511.22628

Discontinuous piecewise polynomial approximation on non-Lipschitz domains

David P Hewett

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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.

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David P Hewett. 2026-08-17. Discontinuous piecewise polynomial approximation on non-Lipschitz domains. https://arxiv.org/abs/2511.22628

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