Euan A. Spence

University of Bath — United Kingdom

Physics and Astronomy · Physical Sciences

23h-index1.7kcitations124works1.32yr avg
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Research Topics

Electromagnetic Scattering and Analysis(49), Advanced Numerical Methods in Computational Mathematics(46), Numerical methods in inverse problems(44), Electromagnetic Simulation and Numerical Methods(44), Advanced Mathematical Modeling in Engineering(44)

Publications124 total

Convergence Theory for Two-Level Hybrid Schwarz Preconditioners for High-Frequency Helmholtz Problems
SIAM Journal on Numerical Analysis·2026Open Access
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering
SIAM/ASA Journal on Uncertainty Quantification·2025
Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
arXiv (Cornell University)·2025Open Access
Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed
Journal of Differential Equations·2025Open Access
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains
IMA Journal of Numerical Analysis·2025· 2 citedOpen Access
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation
arXiv (Cornell University)·2025Open Access
Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
arXiv (Cornell University)·2025Open Access
Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM
SIAM Journal on Numerical Analysis·2025· 6 cited
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
Advances in Computational Mathematics·2024· 1 citedOpen Access
Optimising seismic imaging design parameters via bilevel learning
Inverse Problems·2024· 4 citedOpen Access
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
arXiv (Cornell University)·2024Open Access
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations
arXiv (Cornell University)·2024Open Access
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering
arXiv (Cornell University)·2024Open Access
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
Numerische Mathematik·2024· 1 citedOpen Access
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
arXiv (Cornell University)·2024Open Access
Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed
arXiv (Cornell University)·2024Open Access
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
Communications in Mathematical Sciences·2024· 8 citedOpen Access
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition
Pure and Applied Analysis·2023· 2 citedOpen Access
Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media
Journal de Mathématiques Pures et Appliquées·2023· 1 citedOpen Access
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
IMA Journal of Numerical Analysis·2023· 15 citedOpen Access
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Frequent Co-authors

Ivan G. Graham(13), Jeffrey Galkowski(10), Jared Wunsch(7), A. S. Fokas(6), Simon N. Chandler‐Wilde(5), David Lafontaine(5), V. P. Smyshlyaev(4), Andrea Moiola(3), Shihua Gong(3), Martin J. Gander(2), S. A. Smitheman(2), Owen R. Pembery(2), Marcella Bonazzoli(2), Victorita Dolean(2), Timo Betcke(2), D. Lafontaine(2), Pierre Marchand(2), S. Langdon(1), Dean Baskin(1), I. G. Graham(1)