Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples SN Chandler-Wilde, DP Hewett, A Moiola Mathematika 61 (2), 414-443, 2015 | 107 | 2015 |
Mathematics of the Faraday cage SJ Chapman, DP Hewett, LN Trefethen Siam Review 57 (3), 398-417, 2015 | 84 | 2015 |
Sobolev Spaces on Non-Lipschitz Subsets of with Application to Boundary Integral Equations on Fractal Screens SN Chandler-Wilde, DP Hewett, A Moiola Integral Equations and Operator Theory 87 (2), 179-224, 2017 | 53 | 2017 |
A frequency-independent boundary element method for scattering by two-dimensional screens and apertures DP Hewett, S Langdon, SN Chandler-Wilde IMA Journal of Numerical Analysis 35 (4), 1698-1728, 2015 | 48 | 2015 |
A high frequency boundary element method for scattering by a class of non-convex obstacles SN Chandler-Wilde, DP Hewett, S Langdon, A Twigger University of Reading Preprint MPS-2012-04, 2012 | 44 | 2012 |
Hybrid numerical-asymptotic approximation for high frequency scattering by penetrable convex polygons SP Groth, DP Hewett, S Langdon University of Reading Preprint MPS-2013-02, 2013 | 43 | 2013 |
A High Frequency Boundary Element Method for Scattering by Convex Polygons DP Hewett, S Langdon, JM Melenk SIAM Journal on Numerical Analysis 51 (1), 629-653, 2013 | 39 | 2013 |
Homogenized boundary conditions and resonance effects in Faraday cages DP Hewett, IJ Hewitt Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 32 | 2016 |
Well-posed PDE and integral equation formulations for scattering by fractal screens SN Chandler-Wilde, DP Hewett SIAM Journal on Mathematical Analysis 50 (1), 677-717, 2018 | 25 | 2018 |
Boundary element methods for acoustic scattering by fractal screens SN Chandler-Wilde, DP Hewett, A Moiola, J Besson Numerische Mathematik 147 (4), 785-837, 2021 | 23 | 2021 |
Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens SN Chandler-Wilde, DP Hewett Integral Equations and Operator Theory 82, 423-449, 2015 | 22 | 2015 |
On the maximal Sobolev regularity of functions supported by subsets of Euclidean space DP Hewett, A Moiola arXiv preprint arXiv:1507.02698v2, 2015 | 19* | 2015 |
Sound propagation in an urban environment DP Hewett DPhil thesis, University of Oxford, 2010 | 17 | 2010 |
A hybrid numerical–asymptotic boundary element method for high frequency scattering by penetrable convex polygons SP Groth, DP Hewett, S Langdon Wave Motion 78, 32-53, 2018 | 16 | 2018 |
Density results for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets AM Caetano, DP Hewett, A Moiola Journal of Functional Analysis 281 (3), 109019, 2021 | 15 | 2021 |
Calderón preconditioning of PMCHWT boundary integral equations for scattering by multiple absorbing dielectric particles A Kleanthous, T Betcke, DP Hewett, MW Scroggs, AJ Baran Journal of Quantitative Spectroscopy and Radiative Transfer 224, 383-395, 2019 | 15 | 2019 |
Accelerated Calderón preconditioning for Maxwell transmission problems A Kleanthous, T Betcke, DP Hewett, P Escapil-Inchauspé, ... Journal of Computational Physics 458, 111099, 2022 | 14 | 2022 |
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 | 14 | 2020 |
Acoustic scattering by fractal screens: mathematical formulations and wavenumber-explicit continuity and coercivity estimates SN Chandler-Wilde, DP Hewett arXiv preprint arXiv:1401.2805, 2014 | 14 | 2014 |
Contour integral solutions of the parabolic wave equation DP Hewett, JR Ockendon, VP Smyshlyaev Wave Motion 84, 90-109, 2019 | 11 | 2019 |