63 citations · 243 across the 31 of their papers we have counts for
8 papers · 1 filter
Diffraction by a right-angled impedance wedge: an edge source formulation
David P. Hewett, Aaron Morris
This paper concerns the frequency domain problem of diffraction of a plane wave incident on an infinite right-angled wedge on which impedance (absorbing) boundary conditions are im…
Shadow boundary effects in hybrid numerical-asymptotic methods for high frequency scattering
David P. Hewett
The hybrid numerical-asymptotic (HNA) approach aims to reduce the computational cost of conventional numerical methods for high frequency wave scattering problems by enriching the…
Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens
S. N. Chandler-Wilde, D. P Hewett
We study the classical first-kind boundary integral equation reformulations of time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens.…
Tangent ray diffraction and the Pekeris caret function
David Peter Hewett
We study the classical problem of high frequency scattering of an incident plane wave by a smooth convex two-dimensional body. We present a new integral representation of the leadi…
Interpolation of Hilbert and Sobolev Spaces: Quantitative Estimates and Counterexamples
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola
This paper provides an overview of interpolation of Banach and Hilbert spaces, with a focus on establishing when equivalence of norms is in fact equality of norms in the key result…
A high frequency boundary element method for scattering by a class of nonconvex obstacles
David P. Hewett, Simon N. Chandler-Wilde, Stephen Langdon +1
In this paper we propose and analyse a hybrid numerical-asymptotic boundary element method for the solution of problems of high frequency acoustic scattering by a class of sound-so…
Acoustic scattering by fractal screens: mathematical formulations and wavenumber-explicit continuity and coercivity estimates
Simon N. Chandler-Wilde, David P. Hewett
We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens. In contrast to previous studies, in which the domain occupied by th…
A frequency-independent boundary element method for scattering by two-dimensional screens and apertures
David P. Hewett, Stephen Langdon, Simon N. Chandler-Wilde
We propose and analyse a hybrid numerical-asymptotic boundary element method for time-harmonic scattering of an incident plane wave by an arbitrary collinear array of sound-so…