Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering. - Timo Betcke; Euan A. Spence (SIAM J. Numer. Anal., 2011)

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. - Simon N. Chandler-Wilde; Ivan G. Graham; Stephen Langdon; Euan A. Spence (Acta Numer., 2012)

Synthesis, as Opposed to Separation, of Variables. - Athanassios S. Fokas; Euan A. Spence (SIAM Rev., 2012)

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering. - Euan A. Spence (SIAM J. Math. Anal., 2014)

Is the Helmholtz Equation Really Sign-Indefinite? - Andrea Moiola; Euan A. Spence (SIAM Rev., 2014)

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? - Martin J. Gander; Ivan G. Graham; Euan A. Spence (Numerische Mathematik, 2015)

Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations. - Dean Baskin; Euan A. Spence; Jared Wunsch (SIAM J. Math. Anal., 2016)

Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. - Ivan G. Graham; Euan A. Spence; Eero Vainikko (Math. Comput., 2017)

Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? - Ganesh C. Diwan; Andrea Moiola; Euan A. Spence (J. Comput. Appl. Math., 2019)

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. - Marcella Bonazzoli; Victorita Dolean; Ivan G. Graham; Euan A. Spence; Pierre-Henri Tournier (Math. Comput., 2019)

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)

Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. - Shihua Gong; Ivan G. Graham; Euan A. Spence (CoRR, 2020)

Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. - David Lafontaine; Euan A. Spence; Jared Wunsch (CoRR, 2020)

The Helmholtz Equation in Random Media: Well-Posedness and A Priori Bounds. - Owen R. Pembery; Euan A. Spence (SIAM/ASA J. Uncertain. Quantification, 2020)

High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis. - Simon N. Chandler-Wilde; Euan A. Spence; Andrew Gibbs; Valery P. Smyshlyaev (SIAM J. Math. Anal., 2020)

Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. - Ivan G. Graham; Euan A. Spence; Jun Zou (SIAM J. Numer. Anal., 2020)

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. - Ivan G. Graham; Owen R. Pembery; Euan A. Spence (Adv. Comput. Math., 2021)

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

Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. - David Lafontaine; Euan A. Spence; Jared Wunsch (CoRR, 2021)

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. - Shihua Gong; Martin J. Gander; Ivan G. Graham; 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)

Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. - David Lafontaine; Euan A. Spence; Jared Wunsch (Comput. Math. Appl., 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 bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. - David Lafontaine; Euan A. Spence (CoRR, 2022)

Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. - Simon N. Chandler-Wilde; Euan A. Spence (Numerische Mathematik, 2022)

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. - Shihua Gong; Martin J. Gander; Ivan G. Graham; David Lafontaine; Euan A. Spence (Numerische Mathematik, 2022)

A sharp relative-error bound for the Helmholtz h-FEM at high frequency. - David Lafontaine; Euan A. Spence; Jared Wunsch (Numerische Mathematik, 2022)

Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. - Ralf Hiptmair; Andrea Moiola; Euan A. Spence (SIAM J. Appl. Math., 2022)

Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. - Shihua Gong; Ivan G. Graham; Euan A. Spence (Math. Comput., 2022)

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

Optimisation of seismic imaging via bilevel learning. - Shaunagh Downing; Silvia Gazzola; Ivan G. Graham; Euan A. Spence (CoRR, 2023)

A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. - Euan A. Spence (Adv. Comput. Math., 2023)

Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification. - Euan A. Spence; Jared Wunsch (SIAM/ASA J. Uncertain. Quantification, 2023)

Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. - Simon N. Chandler-Wilde; Euan A. Spence (Numerische Mathematik, 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)

The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains. - Théophile Chaumont-Frelet; Euan A. Spence (CoRR, 2024)

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)

Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. - Ralf Hiptmair; Christoph Schwab; 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)

Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. - Simon N. Chandler-Wilde; Euan A. Spence (Numerische Mathematik, 2024)

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

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)

Two-level hybrid Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation. - Ivan G. Graham; Euan A. Spence (CoRR, 2025)

Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation. - Ivan G. Graham; Frances Y. Kuo; Dirk Nuyens; Ian H. Sloan; Euan A. Spence (CoRR, 2025)

Preconditioning FEM discretisations of the high-frequency Maxwell equations by either perturbing the coefficients or adding absorption. - 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)