Follow
Lafontaine David
Lafontaine David
Verified email at math.univ-toulouse.fr - Homepage
Title
Cited by
Cited by
Year
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
352021
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
262022
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
192022
Scattering for NLS with a potential on the line
D Lafontaine
Asymptotic Analysis 100 (1-2), 21-39, 2016
172016
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
142023
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
J Galkowski, D Lafontaine, EA Spence
arXiv preprint arXiv:2101.02154, 2021
142021
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
132022
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
122023
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
92022
About the wave equation outside two strictly convex obstacles
D Lafontaine
Communications in Partial Differential Equations 47 (5), 875-911, 2022
7*2022
Strichartz estimates without loss outside many strictly convex obstacles
D Lafontaine
arXiv preprint arXiv:1811.12357, 2018
52018
Strichartz estimates without loss outside two strictly convex obstacles
D Lafontaine
arXiv preprint arXiv:1709.03836, 2017
42017
Scattering for critical radial Neumann waves outside a ball
T Duyckaerts, D Lafontaine
Revista Matemática Iberoamericana 38 (2), 659-703, 2021
32021
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
22023
Scattering for NLS with a sum of two repulsive potentials
D Lafontaine
Annales de l'Institut Fourier 70 (5), 1847-1869, 2020
12020
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
The system can't perform the operation now. Try again later.
Articles 1–16