A High Frequency hp Boundary Element Method for Scattering by Convex Polygons. - David P. Hewett; Stephen Langdon; Jens Markus Melenk (SIAM J. Numer. Anal., 2013)

A high frequency boundary element method for scattering by a class of nonconvex obstacles. - Simon N. Chandler-Wilde; David P. Hewett; Stephen Langdon; Ashley Twigger (Numerische Mathematik, 2015)

Mathematics of the Faraday Cage. - S. Jonathan Chapman; David P. Hewett; Lloyd N. Trefethen (SIAM Rev., 2015)

Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens. - Simon N. Chandler-Wilde; David P. Hewett (SIAM J. Math. Anal., 2018)

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)

Boundary element methods for acoustic scattering by fractal screens. - Simon N. Chandler-Wilde; David P. Hewett; Andrea Moiola; Jeanne Besson (Numerische Mathematik, 2021)

Accelerated Calderón preconditioning for Maxwell transmission problems. - Antigoni Kleanthous; Timo Betcke; David P. Hewett; Paul Escapil-Inchauspé; Carlos Jerez-Hanckes; Anthony J. Baran (J. Comput. Phys., 2022)

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)

Testing the Consistency of the Boundary Element Method for Computing the Backscattering Properties of Complex Ice Crystals at Multiple Radar Frequencies. - Anthony J. Baran; Andrew J. Heymsfield; Antigoni Kleanthous; Christopher D. Westbrook; Timo Betcke; David P. Hewett; Paul Barrett; Stuart Fox (IGARSS, 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)

Kernels of trace operators via fine continuity. - Michael Hinz; Simon N. Chandler-Wilde; David P. Hewett (CoRR, 2025)