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Jeffrey Galkowski
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2020 – today
- 2025
- [j9]Jeffrey Galkowski:
Lower bounds for piecewise polynomial approximations of oscillatory functions. J. Approx. Theory 305: 106100 (2025) - 2024
- [j8]Martin Averseng, Jeffrey Galkowski, Euan A. Spence:
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. Adv. Comput. Math. 50(6): 112 (2024) - [j7]Jeffrey Galkowski, Pierre Marchand, Jian Wang, Maciej Zworski:
The Scattering Phase: Seen at Last. SIAM J. Appl. Math. 84(1): 246-261 (2024) - [i13]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) - [i12]Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence:
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. CoRR abs/2408.04507 (2024) - [i11]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) - [j4]Jeffrey Galkowski, Euan A. Spence:
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? SIAM Rev. 65(3): 806-828 (2023) - [i10]Jeffrey Galkowski, Euan A. Spence:
Sharp preasymptotic error bounds for the Helmholtz h-FEM. CoRR abs/2301.03574 (2023) - [i9]Martin Averseng, Euan A. Spence, Jeffrey Galkowski:
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. CoRR abs/2304.14737 (2023) - 2022
- [j3]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): 37 (2022) - [i8]Jeffrey Galkowski, Euan A. Spence:
The Helmholtz boundary element method does not suffer from the pollution effect. CoRR abs/2201.09721 (2022) - [i7]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) - [i6]Jeffrey Galkowski:
Lower bounds for piecewise polynomial approximations of oscillatory functions. CoRR abs/2211.04757 (2022) - 2021
- [j2]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping. SIAM J. Math. Anal. 53(6): 6724-6770 (2021) - [i5]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. CoRR abs/2101.02116 (2021) - [i4]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) - [i3]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 abs/2102.05367 (2021) - [i2]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR abs/2105.07737 (2021) - [i1]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. CoRR abs/2109.06017 (2021)
2010 – 2019
- 2019
- [j1]Jeffrey Galkowski, Eike Hermann Müller, Euan A. Spence:
Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem. Numerische Mathematik 142(2): 329-357 (2019)
Coauthor Index
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