7 citations · 14 across the 11 of their papers we have counts for
12 papers
Acoustic scattering by fractal inhomogeneities via geometry-conforming Galerkin methods for the Lippmann-Schwinger equation
Joshua Bannister, David P. Hewett, Andrew Gibbs
We propose and analyse a numerical method for time-harmonic acoustic scattering in , , by a class of inhomogeneities (penetrable scatterers) with fractal bound…
An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles
A. Gibbs, S. Langdon
For problems of time-harmonic scattering by rational polygonal obstacles, embedding formulae express the far-field pattern induced by any incident plane wave in terms of the far-fi…
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…
Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation
A. Gibbs, D. P. Hewett, D. Huybrechs
Steepest descent methods combining complex contour deformation with numerical quadrature provide an efficient and accurate approach for the evaluation of highly oscillatory integra…
Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets
Andrew Gibbs, David P. Hewett, Botond Major
We consider the numerical evaluation of a class of double integrals with respect to a pair of self-similar measures over a self-similar fractal set (the attractor of an iterated fu…
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
António M. Caetano, Simon N. Chandler-Wilde, Andrew Gibbs +2
Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application o…