63 citations · 217 across the 29 of their papers we have counts for
5 papers · 1 filter
Acoustic scattering: high frequency boundary element methods and unified transform methods
Simon N. Chandler-Wilde, Stephen Langdon
We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering proble…
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…