Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. - Andrew Gibbs; David P. Hewett; Daan Huybrechs; Emile Parolin (CoRR, 2019)

Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation. - Joshua Bannister; Andrew Gibbs; David P. Hewett (CoRR, 2020)

High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis. - Simon N. Chandler-Wilde; Euan A. Spence; Andrew Gibbs; Valery P. Smyshlyaev (SIAM J. Math. Anal., 2020)

Integral equation methods for acoustic scattering by fractals. - António M. Caetano; Simon N. Chandler-Wilde; X. Claeys; Andrew Gibbs; David P. Hewett; Andrea Moiola (CoRR, 2023)

Numerical quadrature for singular integrals on fractals. - Andrew Gibbs; David P. Hewett; Andrea Moiola (Numer. Algorithms, 2023)

An Efficient Frequency-Independent Numerical Method for Computing the Far-Field Pattern Induced by Polygonal Obstacles. - Andrew Gibbs; Stephen Langdon (SIAM J. Sci. Comput., 2024)

Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. - Andrew Gibbs; David P. Hewett; Daan Huybrechs (J. Comput. Phys., 2024)

A Hausdorff-measure boundary element method for acoustic scattering by fractal screens. - António M. Caetano; Simon N. Chandler-Wilde; Andrew Gibbs; David P. Hewett; Andrea Moiola (Numerische Mathematik, 2024)

Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets. - Andrew Gibbs; David P. Hewett; Botond Major (Numer. Algorithms, 2024)