| High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis SN Chandler-Wilde, EA Spence, A Gibbs, VP Smyshlyaev SIAM Journal on Mathematical Analysis 52 (1), 845-893, 2020 | 37 | 2020 |
| A Hausdorff-measure boundary element method for acoustic scattering by fractal screens AM Caetano, SN Chandler-Wilde, A Gibbs, DP Hewett, A Moiola Numerische Mathematik 156 (2), 463-532, 2024 | 16 | 2024 |
| Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation A Gibbs, DP Hewett, D Huybrechs, E Parolin SN Partial Differential Equations and Applications 1, 1-26, 2020 | 16 | 2020 |
| Numerical quadrature for singular integrals on fractals A Gibbs, D Hewett, A Moiola Numerical Algorithms 92 (4), 2071-2124, 2023 | 12 | 2023 |
| A high-frequency boundary element method for scattering by a class of multiple obstacles A Gibbs, SN Chandler-Wilde, S Langdon, A Moiola IMA Journal of Numerical Analysis 41 (2), 1197-1239, 2021 | 11 | 2021 |
| Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation J Bannister, A Gibbs, DP Hewett Mathematical Models and Methods in Applied Sciences 32 (02), 291-319, 2022 | 7 | 2022 |
| Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets A Gibbs, DP Hewett, B Major Numerical Algorithms 97 (1), 311-343, 2024 | 6 | 2024 |
| Numerical methods for high frequency scattering by multiple obstacles AJ Gibbs University of Reading, 2017 | 6 | 2017 |
| Integral equation methods for acoustic scattering by fractals AM Caetano, SN Chandler-Wilde, X Claeys, A Gibbs, DP Hewett, ... arXiv preprint arXiv:2309.02184, 2023 | 4 | 2023 |
| Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation A Gibbs, DP Hewett, D Huybrechs Journal of Computational Physics 501, 112787, 2024 | 1 | 2024 |
| Numerically stable computation of embedding formulae for scattering by polygons A Gibbs, S Langdon, A Moiola arXiv preprint arXiv:1805.08988, 2018 | 1 | 2018 |
| Molecular dynamics simulation of self-healing polymers A Gibbs Master’s thesis, University of Reading, Reading, 2011 | 1 | 2011 |
| An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles A Gibbs, S Langdon SIAM Journal on Scientific Computing 46 (4), A2324-A2350, 2024 | | 2024 |
| A caustic terminating at an inflection point JR Ockendon, H Ockendon, RH Tew, DP Hewett, A Gibbs Wave Motion 125, 103257, 2024 | | 2024 |
| Volume integral equations on fractal domains and the Koch snowflake transmission problem J Bannister, A Gibbs, DP Hewett | | |
| A Hausdorff-measure boundary element method for scattering by fractal screens I: Numerical Analysis S Chandler-Wilde | | |
| IABEM 2018, Paris A Gibbs, D Huybrechs | | |