| 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 | 42 | 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 | 31 | 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 | 20 | 2024 |
| 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 | 20 | 2022 |
| 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 | 19 | 2023 |
| 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 | 18 | 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 | 16 | 2022 |
| Scattering for NLS with a potential on the line D Lafontaine Asymptotic Analysis 100 (1-2), 21-39, 2016 | 16 | 2016 |
| The -FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect J Galkowski, D Lafontaine, EA Spence, J Wunsch arXiv preprint arXiv:2207.05542, 2022 | 12 | 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 | 5 | 2021 |
| Strichartz estimates without loss outside many strictly convex obstacles D Lafontaine arXiv preprint arXiv:1811.12357, 2018 | 5 | 2018 |
| 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 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 | 1 | 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 |
| 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 BathVerified email at bath.ac.uk
