Euan A. Spence

72 papers Journal 72

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Convergence Theory for Two-Level Hybrid Schwarz Preconditioners for High-Frequency Helmholtz Problems. SIAM J. Numer. Anal. Jeffrey Galkowski, Euan A. Spence
2026	J	`jnl`	Massively parallel Schwarz methods for the high frequency Helmholtz equation. CoRR Yan Xie, Shihua Gong, Ivan G. Graham, Euan A. Spence, Chen-Song Zhang
2026	J	`jnl`	Preconditioning FEM discretisations of the high-frequency Helmholtz and Maxwell equations by either perturbing the coefficients or adding absorption. Comput. Math. Appl. Euan A. Spence
2025	J	`jnl`	Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems. CoRR Jeffrey Galkowski, Euan A. Spence
2025	J	`jnl`	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. SIAM/ASA J. Uncertain. Quantification Ralf Hiptmair, Christoph Schwab, Euan A. Spence
2025	J	`jnl`	Helmholtz boundary integral methods and the pollution effect. CoRR Jeffrey Galkowski, Manas Rachh, Euan A. Spence
2025	J	`jnl`	Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems. CoRR Martin Averseng, Jeffrey Galkowski, Euan A. Spence
2025	J	`jnl`	Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis. CoRR Jeffrey Galkowski, Euan A. Spence
2025	J	`jnl`	Preconditioning FEM discretisations of the high-frequency Maxwell equations by either perturbing the coefficients or adding absorption. CoRR Euan A. Spence
2025	J	`jnl`	Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation. CoRR Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, Euan A. Spence
2025	J	`jnl`	Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM. SIAM J. Numer. Anal. Jeffrey Galkowski, Euan A. Spence
2025	J	`jnl`	Two-level hybrid Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation. CoRR Ivan G. Graham, Euan A. Spence
2024	J	`jnl`	Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. Numerische Mathematik Simon N. Chandler-Wilde, Euan A. Spence
2024	J	`jnl`	Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2024	J	`jnl`	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. CoRR Ralf Hiptmair, Christoph Schwab, Euan A. Spence
2024	J	`jnl`	Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. Adv. Comput. Math. Martin Averseng, Jeffrey Galkowski, Euan A. Spence
2024	J	`jnl`	Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2024	J	`jnl`	Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. CoRR Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence
2024	J	`jnl`	The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains. CoRR Théophile Chaumont-Frelet, Euan A. Spence
2023	J	`jnl`	A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. Adv. Comput. Math. Euan A. Spence
2023	J	`jnl`	Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Numerische Mathematik Simon N. Chandler-Wilde, Euan A. Spence
2023	J	`jnl`	Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method. SIAM J. Math. Anal. Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch
2023	J	`jnl`	Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? SIAM Rev. Jeffrey Galkowski, Euan A. Spence
2023	J	`jnl`	Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. CoRR Martin Averseng, Euan A. Spence, Jeffrey Galkowski
2023	J	`jnl`	Optimisation of seismic imaging via bilevel learning. CoRR Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence
2023	J	`jnl`	Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2023	J	`jnl`	Sharp preasymptotic error bounds for the Helmholtz h-FEM. CoRR Jeffrey Galkowski, Euan A. Spence
2023	J	`jnl`	Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification. SIAM/ASA J. Uncertain. Quantification Euan A. Spence, Jared Wunsch
2022	J	`jnl`	A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik David Lafontaine, Euan A. Spence, Jared Wunsch
2022	J	`jnl`	A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. CoRR Euan A. Spence
2022	J	`jnl`	Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? Adv. Comput. Math. Pierre Marchand, Jeffrey Galkowski, Euan A. Spence, Alastair Spence
2022	J	`jnl`	Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. CoRR Simon N. Chandler-Wilde, Euan A. Spence
2022	J	`jnl`	Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Numerische Mathematik Simon N. Chandler-Wilde, Euan A. Spence
2022	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2022	J	`jnl`	Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Math. Comput. Shihua Gong, Ivan G. Graham, Euan A. Spence
2022	J	`jnl`	Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR David Lafontaine, Euan A. Spence
2022	J	`jnl`	Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. SIAM J. Appl. Math. Ralf Hiptmair, Andrea Moiola, Euan A. Spence
2022	J	`jnl`	The Helmholtz boundary element method does not suffer from the pollution effect. CoRR Jeffrey Galkowski, Euan A. Spence
2022	J	`jnl`	The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch
2022	J	`jnl`	Wavenumber-explicit convergence of the Comput. Math. Appl. David Lafontaine, Euan A. Spence, Jared Wunsch
2022	J	`jnl`	Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification. CoRR Euan A. Spence, Jared Wunsch
2021	J	`jnl`	A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. CoRR Shihua Gong, Martin J. Gander, Ivan G. Graham, Euan A. Spence
2021	J	`jnl`	Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. Ivan G. Graham, Owen R. Pembery, Euan A. Spence
2021	J	`jnl`	Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? CoRR Pierre Marchand, Jeffrey Galkowski, Alastair Spence, Euan A. Spence
2021	J	`jnl`	Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. CoRR Simon N. Chandler-Wilde, Euan A. Spence
2021	J	`jnl`	Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR Shihua Gong, Ivan G. Graham, Euan A. Spence
2021	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2021	J	`jnl`	Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2021	J	`jnl`	Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping. SIAM J. Math. Anal. Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
2021	J	`jnl`	Eigenvalues of the truncated Helmholtz solution operator under strong trapping. CoRR Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
2021	J	`jnl`	High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. CoRR Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
2021	J	`jnl`	Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2021	J	`jnl`	Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR Jeffrey Galkowski, David Lafontaine, Euan A. Spence
2021	J	`jnl`	Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. CoRR Ralf Hiptmair, Andrea Moiola, Euan A. Spence
2020	J	`jnl`	Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR Ivan G. Graham, Owen R. Pembery, Euan A. Spence
2020	J	`jnl`	Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. SIAM J. Numer. Anal. Ivan G. Graham, Euan A. Spence, Jun Zou
2020	J	`jnl`	Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR Shihua Gong, Ivan G. Graham, Euan A. Spence
2020	J	`jnl`	High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis. SIAM J. Math. Anal. Simon N. Chandler-Wilde, Euan A. Spence, Andrew Gibbs, Valery P. Smyshlyaev
2020	J	`jnl`	The Helmholtz Equation in Random Media: Well-Posedness and A Priori Bounds. SIAM/ASA J. Uncertain. Quantification Owen R. Pembery, Euan A. Spence
2020	J	`jnl`	Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2019	J	`jnl`	A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR David Lafontaine, Euan A. Spence, Jared Wunsch
2019	J	`jnl`	Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? J. Comput. Appl. Math. Ganesh C. Diwan, Andrea Moiola, Euan A. Spence
2019	J	`jnl`	Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier
2019	J	`jnl`	Wavenumber-explicit analysis for the Helmholtz Numerische Mathematik Jeffrey Galkowski, Eike Hermann Müller, Euan A. Spence
2017	J	`jnl`	Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. Ivan G. Graham, Euan A. Spence, Eero Vainikko
2016	J	`jnl`	Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations. SIAM J. Math. Anal. Dean Baskin, Euan A. Spence, Jared Wunsch
2015	J	`jnl`	Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? Numerische Mathematik Martin J. Gander, Ivan G. Graham, Euan A. Spence
2014	J	`jnl`	Is the Helmholtz Equation Really Sign-Indefinite? SIAM Rev. Andrea Moiola, Euan A. Spence
2014	J	`jnl`	Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering. SIAM J. Math. Anal. Euan A. Spence
2012	J	`jnl`	Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numer. Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Euan A. Spence
2012	J	`jnl`	Synthesis, as Opposed to Separation, of Variables. SIAM Rev. Athanassios S. Fokas, Euan A. Spence
2011	J	`jnl`	Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering. SIAM J. Numer. Anal. Timo Betcke, Euan A. Spence