4 papers · 1 filter
Integral equation methods for acoustic scattering by fractals
A. M. Caetano, S. N. Chandler-Wilde, X. Claeys +3
We study sound-soft time-harmonic acoustic scattering by general scatterers, including fractal scatterers, in 2D and 3D space. For an arbitrary compact scatterer we reformulate…
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
It is well known that, with a particular choice of norm, the classical double-layer potential operator has essential norm as an operator on the natural trace space $H^{1…
The Complex-Scaled Half-Space Matching Method
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss +3
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
A high frequency boundary element method for scattering by a class of multiple obstacles
Andrew Gibbs, Simon Chandler-Wilde, Stephen Langdon +1
We propose a boundary element method for problems of time-harmonic acoustic scattering by multiple obstacles in two dimensions, at least one of which is a convex polygon. By combin…