Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem. - Jeffrey Galkowski; Eike Hermann Müller; Euan A. Spence (Numerische Mathematik, 2019)

Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. - Jeffrey Galkowski; David Lafontaine; Euan A. Spence (CoRR, 2021)

High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. - Jeffrey Galkowski; Pierre Marchand; Euan A. Spence (CoRR, 2021)

Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping. - Jeffrey Galkowski; Pierre Marchand; Euan A. Spence (SIAM J. Math. Anal., 2021)

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? - Pierre Marchand; Jeffrey Galkowski; Euan A. Spence; Alastair Spence (Adv. Comput. Math., 2022)

The Helmholtz boundary element method does not suffer from the pollution effect. - Jeffrey Galkowski; Euan A. Spence (CoRR, 2022)

The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect. - Jeffrey Galkowski; David Lafontaine; Euan A. Spence; Jared Wunsch (CoRR, 2022)

Sharp preasymptotic error bounds for the Helmholtz h-FEM. - Jeffrey Galkowski; Euan A. Spence (CoRR, 2023)

Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. - Jeffrey Galkowski; David Lafontaine; Euan A. Spence (SIAM J. Math. Anal., 2023)

Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method. - Jeffrey Galkowski; David Lafontaine; Euan A. Spence; Jared Wunsch (SIAM J. Math. Anal., 2023)

Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? - Jeffrey Galkowski; Euan A. Spence (SIAM Rev., 2023)

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. - Jeffrey Galkowski; Shihua Gong; Ivan G. Graham; David Lafontaine; Euan A. Spence (CoRR, 2024)

Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. - Théophile Chaumont-Frelet; Jeffrey Galkowski; Euan A. Spence (CoRR, 2024)

Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. - Jeffrey Galkowski; Shihua Gong; Ivan G. Graham; David Lafontaine; Euan A. Spence (CoRR, 2024)

The Scattering Phase: Seen at Last. - Jeffrey Galkowski; Pierre Marchand; Jian Wang; Maciej Zworski (SIAM J. Appl. Math., 2024)

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. - Martin Averseng; Jeffrey Galkowski; Euan A. Spence (Adv. Comput. Math., 2024)

Lower bounds for piecewise polynomial approximations of oscillatory functions. - Jeffrey Galkowski (J. Approx. Theory, 2025)

Sharp Preasymptotic Error Bounds for the Helmholtz ( boldsymbol{h} )-FEM. - Jeffrey Galkowski; Euan A. Spence (SIAM J. Numer. Anal., 2025)

Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems. - Jeffrey Galkowski; Euan A. Spence (CoRR, 2025)

Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems. - Martin Averseng; Jeffrey Galkowski; Euan A. Spence (CoRR, 2025)

Helmholtz boundary integral methods and the pollution effect. - Jeffrey Galkowski; Manas Rachh; Euan A. Spence (CoRR, 2025)