63 citations · 243 across the 31 of their papers we have counts for
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math.NA2025
Discontinuous piecewise polynomial approximation on non-Lipschitz domains
David P Hewett
We prove best approximation error estimates for discontinuous piecewise polynomial approximation in fractional Sobolev spaces on non-Lipschitz meshes of non-Lipschitz domains. In p…
math.FA2025
Properties of IFS attractors with non-empty interiors, related rough domains, and associated function spaces and scattering problems
António Caetano, Simon N. Chandler-Wilde, David P. Hewett
We study fractal sets with non-empty interior , that are attractors of iterated function systems (IFSs) of contracting similarities satisfying the open s…
math.FA2025
Kernels of trace operators via fine continuity
Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett
Given a closed subset of that is the support of a measure , we study the kernels of trace operators from fractional Sobolev spaces into…