2 papers
math.NA2026
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…
math.NA2020
Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation
J. Bannister, A. Gibbs, D. P. Hewett
We study time-harmonic scattering in () by a planar screen (a "crack" in the context of linear elasticity), assumed to be a non-empty bounded relatively open…