Jeffrey Galkowski

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 18

Top Topics

Decomposition Methods

Boundary Element Method

Top Venues

SIAM J. Math. Anal.

Numerische Mathematik

Adv. Comput. Math.

Publications

Jeffrey Galkowski, Pierre Marchand, Jian Wang, Maciej Zworski
The Scattering Phase: Seen at Last. SIAM J. Appl. Math. 84 (1) (2024)
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)
Jeffrey Galkowski, Euan A. Spence
Sharp preasymptotic error bounds for the Helmholtz h-FEM. CoRR (2023)
Jeffrey Galkowski, Euan A. Spence
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? SIAM Rev. 65 (3) (2023)
Martin Averseng, Euan A. Spence, Jeffrey Galkowski
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. CoRR (2023)
Pierre Marchand, Jeffrey Galkowski, Euan A. Spence, Alastair Spence
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Adv. Comput. Math. 48 (4) (2022)
Jeffrey Galkowski, Euan A. Spence
The Helmholtz boundary element method does not suffer from the pollution effect. CoRR (2022)
Jeffrey Galkowski
Lower bounds for piecewise polynomial approximations of oscillatory functions. 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, Pierre Marchand, Euan A. Spence
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. CoRR (2021)
Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping. SIAM J. Math. Anal. 53 (6) (2021)
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)
Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. CoRR (2021)
Pierre Marchand, Jeffrey Galkowski, Alastair Spence, Euan A. Spence
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? CoRR (2021)
Jeffrey Galkowski, Eike Hermann Müller, Euan A. Spence
-BEM: error estimates and iteration counts for the Dirichlet problem. Numerische Mathematik 142 (2) (2019)