David Lafontaine

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 15

Top Topics

Decomposition Methods

Top Venues

Numerische Mathematik

SIAM J. Math. Anal.

Comput. Math. Appl.

Publications

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 (2024)
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. 55 (4) (2023)
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) (2023)
David Lafontaine, Euan A. Spence, Jared Wunsch
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik 150 (1) (2022)
David Lafontaine, Euan A. Spence, Jared Wunsch
-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. Comput. Math. Appl. 113 (2022)
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) (2022)
David Lafontaine, Euan A. Spence
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR (2022)
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 (2022)
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. CoRR (2021)
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR (2021)
David Lafontaine, Euan A. Spence, Jared Wunsch
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR (2021)
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 (2021)
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 (2020)
David Lafontaine, Euan A. Spence, Jared Wunsch
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR (2019)
David Lafontaine
Scattering for NLS with a potential on the line. Asymptot. Anal. 100 (1-2) (2016)