David Lafontaine

16 papers Journal 16

Year	Rank	Type	Title / Venue / Authors
2024	J	`jnl`	Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2024	J	`jnl`	Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2023	J	`jnl`	Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method. SIAM J. Math. Anal. Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch
2023	J	`jnl`	Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2022	J	`jnl`	A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik David Lafontaine, Euan A. Spence, Jared Wunsch
2022	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2022	J	`jnl`	Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR David Lafontaine, Euan A. Spence
2022	J	`jnl`	The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch
2022	J	`jnl`	Wavenumber-explicit convergence of the Comput. Math. Appl. David Lafontaine, Euan A. Spence, Jared Wunsch
2021	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2021	J	`jnl`	Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2021	J	`jnl`	Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2021	J	`jnl`	Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2020	J	`jnl`	Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2019	J	`jnl`	A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2016	J	`jnl`	Scattering for NLS with a potential on the line. Asymptot. Anal. David Lafontaine