63 citations · 243 across the 31 of their papers we have counts for
4 papers · 1 filter
Well-posed PDE and integral equation formulations for scattering by fractal screens
Simon N. Chandler-Wilde, David P. Hewett
We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in for or . In contrast to previo…
A note on properties of the restriction operator on Sobolev spaces
David P. Hewett, Andrea Moiola
In our companion paper (S.N. Chandler Wilde, D.P. Hewett, A. Moiola, Sobolev spaces on non-Lipschitz subsets of with application to boundary integral equations on fr…
Sobolev spaces on non-Lipschitz subsets of with application to boundary integral equations on fractal screens
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola
We study properties of the classical fractional Sobolev spaces (or Bessel potential spaces) on non-Lipschitz subsets of . We investigate the extent to which the prope…
Homogenized boundary conditions and resonance effects in Faraday cages
David P. Hewett, Ian J. Hewitt
We present a mathematical study of two-dimensional electrostatic and electromagnetic shielding by a cage of conducting wires (the so-called `Faraday cage effect'). Taking the limit…