For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering D Lafontaine, EA Spence, J Wunsch
Communications on Pure and Applied Mathematics 74 (10), 2025-2063, 2021
44 2021 Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients D Lafontaine, EA Spence, J Wunsch
Computers & Mathematics with Applications 113, 59-69, 2022
32 2022 Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves J Galkowski, D Lafontaine, EA Spence
IMA Journal of Numerical Analysis 44 (4), 1946-2069, 2024
24 2024 Perfectly-matched-layer truncation is exponentially accurate at high frequency J Galkowski, D Lafontaine, E Spence
SIAM Journal on Mathematical Analysis 55 (4), 3344-3394, 2023
21 2023 A sharp relative-error bound for the Helmholtz h-FEM at high frequency D Lafontaine, EA Spence, J Wunsch
Numerische Mathematik 150 (1), 137-178, 2022
21 2022 Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method J Galkowski, D Lafontaine, EA Spence, J Wunsch
SIAM Journal on Mathematical Analysis 55 (4), 3903-3958, 2023
19 2023 Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation S Gong, MJ Gander, IG Graham, D Lafontaine, EA Spence
Numerische Mathematik 152 (2), 259-306, 2022
17 2022 Scattering for NLS with a potential on the line D Lafontaine
Asymptotic Analysis 100 (1-2), 21-39, 2016
17 2016 The J Galkowski, D Lafontaine, EA Spence, J Wunsch
arXiv preprint arXiv:2207.05542, 2022
15 2022 About the wave equation outside two strictly convex obstacles D Lafontaine
Communications in Partial Differential Equations 47 (5), 875-911, 2022
7 * 2022 Scattering for critical radial Neumann waves outside a ball T Duyckaerts, D Lafontaine
Revista matemática iberoamericana 38 (2), 659-703, 2021
7 2021 Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition D Lafontaine, EA Spence
Pure and Applied Analysis 5 (4), 927-972, 2023
4 2023 Strichartz estimates without loss outside many strictly convex obstacles D Lafontaine
arXiv preprint arXiv:1811.12357, 2018
4 2018 Strichartz estimates without loss outside two strictly convex obstacles D Lafontaine
arXiv preprint arXiv:1709.03836, 2017
4 2017 Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems J Galkowski, S Gong, IG Graham, D Lafontaine, EA Spence
arXiv preprint arXiv:2404.02156, 2024
3 2024 Scattering for NLS with a sum of two repulsive potentials D Lafontaine
Annales de l'Institut Fourier 70 (5), 1847-1869, 2020
1 2020 Scattering for defocusing cubic NLS under locally damped strong trapping D Lafontaine, B Shakarov
arXiv preprint arXiv:2502.06306, 2025
2025 Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency J Galkowski, S Gong, IG Graham, D Lafontaine, EA Spence
arXiv preprint arXiv:2408.16580, 2024
2024 Decompositions of high-frequency Helmholtz solutions and application to the finite element method D Lafontaine
Séminaire Laurent Schwartz—EDP et applications, 1-15, 2021
2021 
Euan A SpenceProfessor of Mathematics, University of BathBestätigte E-Mail-Adresse bei bath.ac.uk
