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2020 – today
- 2024
[i10]Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. CoRR abs/2404.02156 (2024)- [i9]Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR abs/2408.16580 (2024) - 2023
- [j6]Jeffrey Galkowski
, David Lafontaine, Euan A. Spence:
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. 55(4): 3344-3394 (2023) - [j5]Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch:
Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method. SIAM J. Math. Anal. 55(4): 3903-3958 (2023) - 2022
- [j4]David Lafontaine, Euan A. Spence, Jared Wunsch:
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. Comput. Math. Appl. 113: 59-69 (2022) - [j3]David Lafontaine, Euan A. Spence, Jared Wunsch:
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik 150(1): 137-178 (2022) - [j2]Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik 152(2): 259-306 (2022) - [i8]Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch:
The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect. CoRR abs/2207.05542 (2022) - [i7]David Lafontaine, Euan A. Spence:
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR abs/2211.14659 (2022) - 2021
- [i6]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. CoRR abs/2101.02154 (2021) - [i5]David Lafontaine, Euan A. Spence, Jared Wunsch:
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR abs/2102.13081 (2021) - [i4]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR abs/2105.07737 (2021) - [i3]Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR abs/2106.05218 (2021) - 2020
- [i2]David Lafontaine, Euan A. Spence, Jared Wunsch:
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. CoRR abs/2010.00585 (2020)
2010 – 2019
- 2019
- [i1]David Lafontaine, Euan A. Spence, Jared Wunsch:
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR abs/1911.11093 (2019) - 2016
- [j1]David Lafontaine:
Scattering for NLS with a potential on the line. Asymptot. Anal. 100(1-2): 21-39 (2016)
Coauthor Index
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