Euan A. Spence

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 51

Top Topics

Decomposition Methods

Top Venues

Numerische Mathematik

SIAM J. Math. Anal.

Adv. Comput. Math.

Publications

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)
Théophile Chaumont-Frelet, Euan A. Spence
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains. CoRR (2024)
Simon N. Chandler-Wilde, Euan A. Spence
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. Numerische Mathematik 156 (4) (2024)
Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence
Optimisation of seismic imaging via bilevel learning. CoRR (2023)
Euan A. Spence
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. 49 (2) (2023)
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. 55 (4) (2023)
Euan A. Spence, Jared Wunsch
Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification. SIAM/ASA J. Uncertain. Quantification 11 (2) (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)
Simon N. Chandler-Wilde, Euan A. Spence
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Numerische Mathematik 154 (1-2) (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)
David Lafontaine, Euan A. Spence, Jared Wunsch
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik 150 (1) (2022)
David Lafontaine, Euan A. Spence, Jared Wunsch
-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. Comput. Math. Appl. 113 (2022)
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)
Ralf Hiptmair, Andrea Moiola, Euan A. Spence
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. SIAM J. Appl. Math. 82 (4) (2022)
Simon N. Chandler-Wilde, Euan A. Spence
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. CoRR (2022)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Math. Comput. 92 (339) (2022)
Euan A. Spence, Jared Wunsch
Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification. CoRR (2022)
Jeffrey Galkowski, Euan A. Spence
The Helmholtz boundary element method does not suffer from the pollution effect. CoRR (2022)
Simon N. Chandler-Wilde, Euan A. Spence
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Numerische Mathematik 150 (2) (2022)
Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik 152 (2) (2022)
David Lafontaine, Euan A. Spence
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR (2022)
Euan A. Spence
A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. 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)
Simon N. Chandler-Wilde, Euan A. Spence
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. CoRR (2021)
Jeffrey Galkowski, David Lafontaine, Euan A. Spence
Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR (2021)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR (2021)
David Lafontaine, Euan A. Spence, Jared Wunsch
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR (2021)
Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR (2021)
Shihua Gong, Martin J. Gander, Ivan G. Graham, Euan A. Spence
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. 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)
Ralf Hiptmair, Andrea Moiola, Euan A. Spence
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. CoRR (2021)
Ivan G. Graham, Owen R. Pembery, Euan A. Spence
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. 47 (5) (2021)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR (2020)
David Lafontaine, Euan A. Spence, Jared Wunsch
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. CoRR (2020)
Ivan G. Graham, Owen R. Pembery, Euan A. Spence
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR (2020)
Simon N. Chandler-Wilde, Euan A. Spence, Andrew Gibbs, Valery P. Smyshlyaev
High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis. SIAM J. Math. Anal. 52 (1) (2020)
Ivan G. Graham, Euan A. Spence, Jun Zou
Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. SIAM J. Numer. Anal. 58 (5) (2020)
Owen R. Pembery, Euan A. Spence
The Helmholtz Equation in Random Media: Well-Posedness and A Priori Bounds. SIAM/ASA J. Uncertain. Quantification 8 (1) (2020)
Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. 88 (320) (2019)
David Lafontaine, Euan A. Spence, Jared Wunsch
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR (2019)
Jeffrey Galkowski, Eike Hermann Müller, Euan A. Spence
-BEM: error estimates and iteration counts for the Dirichlet problem. Numerische Mathematik 142 (2) (2019)
Ganesh C. Diwan, Andrea Moiola, Euan A. Spence
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? J. Comput. Appl. Math. 352 (2019)
Ivan G. Graham, Euan A. Spence, Eero Vainikko
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. 86 (307) (2017)
Dean Baskin, Euan A. Spence, Jared Wunsch
Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations. SIAM J. Math. Anal. 48 (1) (2016)
Martin J. Gander, Ivan G. Graham, Euan A. Spence
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? Numerische Mathematik 131 (3) (2015)
Andrea Moiola, Euan A. Spence
Is the Helmholtz Equation Really Sign-Indefinite? SIAM Rev. 56 (2) (2014)
Euan A. Spence
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering. SIAM J. Math. Anal. 46 (4) (2014)
Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Euan A. Spence
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numer. 21 (2012)
Athanassios S. Fokas, Euan A. Spence
Synthesis, as Opposed to Separation, of Variables. SIAM Rev. 54 (2) (2012)
Timo Betcke, Euan A. Spence
Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering. SIAM J. Numer. Anal. 49 (4) (2011)