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Euan A. Spence

Identifiers

  • name variant Euan A. Spence 0.60 · backfill

Papers (45)

  1. Convergence of parallel overlapping domain decomposition methods with impedance boundary conditions for time-harmonic Maxwell equations in heterogeneous media math.NA · 2026 · author #3
  2. Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis math.NA · 2025 · author #2
  3. Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems math.NA · 2025 · author #3
  4. Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation math.NA · 2025 · author #2
  5. Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering math.NA · 2024 · author #3
  6. Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems math.NA · 2024 · author #5
  7. Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed math.AP · 2024 · author #1
  8. The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains math.NA · 2024 · author #2
  9. Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies math.NA · 2023 · author #2
  10. Optimising seismic imaging design parameters via bilevel learning math.NA · 2023 · author #4
  11. Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media math.AP · 2023 · author #3
  12. Sharp preasymptotic error bounds for the Helmholtz $h$-FEM math.NA · 2023 · author #2
  13. Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition math.AP · 2022 · author #2
  14. Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains math.NA · 2022 · author #2
  15. The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect math.AP · 2022 · author #3
  16. Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification math.AP · 2022 · author #1
  17. A simple proof that the $hp$-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation math.NA · 2022 · author #1
  18. Does the Helmholtz boundary element method suffer from the pollution effect? math.NA · 2022 · author #2
  19. Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems math.NA · 2021 · author #3
  20. Scattering by finely-layered obstacles: frequency-explicit bounds and homogenization math.AP · 2021 · author #2
  21. Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem math.AP · 2021 · author #3
  22. High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem math.AP · 2021 · author #3
  23. Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation math.NA · 2021 · author #5
  24. Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains math.NA · 2021 · author #2
  25. Perfectly-matched-layer truncation is exponentially accurate at high frequency math.AP · 2021 · author #3
  26. A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem math.NA · 2021 · author #4
  27. Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method math.AP · 2021 · author #3
  28. Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? math.NA · 2021 · author #4
  29. Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves math.NA · 2021 · author #3
  30. Eigenvalues of the truncated Helmholtz solution operator under strong trapping math.AP · 2021 · author #3
  31. Wavenumber-explicit convergence of the $hp$-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients math.NA · 2020 · author #2
  32. Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification math.NA · 2020 · author #3
  33. Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation math.NA · 2020 · author #3
  34. A sharp relative-error bound for the Helmholtz $h$-FEM at high frequency math.NA · 2019 · author #2
  35. For most frequencies, strong trapping has a weak effect in frequency-domain scattering math.AP · 2019 · author #2
  36. Optimal constants in nontrapping resolvent estimates and applications in numerical analysis math.AP · 2018 · author #2
  37. Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators math.AP · 2018 · author #2
  38. Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? math.NA · 2018 · author #3
  39. The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances math.AP · 2018 · author #3
  40. Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption math.NA · 2017 · author #4
  41. High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis math.AP · 2017 · author #2
  42. Uniform asymptotics as a stationary point approaches an endpoint math.CA · 2017 · author #3
  43. Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions math.AP · 2017 · author #2
  44. Wavenumber-explicit analysis for the Helmholtz $h$-BEM: error estimates and iteration counts for the Dirichlet problem math.NA · 2016 · author #3
  45. Domain Decomposition preconditioning for high-frequency Helmholtz problems with absorption math.NA · 2015 · author #2

Mentions

  • 2408.01194 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2401.16413 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2301.03574 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 2301.10762 #4 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 2404.02156 #5 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 2207.05542 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2301.07092 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2101.02154 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2202.06939 #1 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2105.07737 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2203.10270 #1 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2109.06017 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2109.11267 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2201.09721 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2106.05218 #5 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2109.08530 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 1702.00745 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2102.13081 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2110.14495 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2010.00585 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2102.05367 #4 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 1911.11093 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2101.02116 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2005.13390 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2103.11379 #4 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2004.03996 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 1801.08095 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
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  • 1806.05934 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 1711.03789 #4 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 1608.01035 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 1507.02097 #2 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 1507.02097 #2 · backfill · confidence 0.70 Euan A. Spence
  • 2606.04982 #3 · arxiv_oai · confidence 0.70 Euan A. Spence
  • 2506.15630 #3 · arxiv_oai · confidence 0.70 Euan A. Spence

Frequent Coauthors