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Andrew Gibbs
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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
392020
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
142020
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
112021
Numerical methods for high frequency scattering by multiple obstacles
AJ Gibbs
University of Reading, 2017
62017
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, 1-70, 2024
52024
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
52022
Numerical quadrature for singular integrals on fractals
A Gibbs, D Hewett, A Moiola
Numerical Algorithms 92 (4), 2071-2124, 2023
42023
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
32023
Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets
A Gibbs, DP Hewett, B Major
Numerical Algorithms, 1-33, 2023
22023
Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation
A Gibbs, DP Hewett, D Huybrechs
Journal of Computational Physics 501, 112787, 2024
12024
A caustic terminating at an inflection point
JR Ockendon, H Ockendon, RH Tew, DP Hewett, A Gibbs
Wave Motion 125, 103257, 2024
2024
An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles
A Gibbs, S Langdon
arXiv preprint arXiv:2310.17603, 2023
2023
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation
D Huybrechs, A Gibbs, DP Hewett, E Parolin
SN Partial Differential Equations and Applications, 2019
2019
Numerically stable computation of embedding formulae for scattering by polygons
A Gibbs, S Langdon, A Moiola
arXiv preprint arXiv:1805.08988, 2018
2018
Molecular dynamics simulation of self-healing polymers
A Gibbs
Master’s thesis, University of Reading, Reading, 2011
2011
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
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Articles 1–18