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ORCIDEuan A. Spence
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- affiliation: University of Bath, UK
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2020 – today
- 2024
[j31]Martin Averseng
, Jeffrey Galkowski, Euan A. Spence:
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. Adv. Comput. Math. 50(6): 112 (2024)- [j30]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): 1325-1384 (2024) - [i29]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 abs/2401.16413 (2024) - [i28]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 abs/2404.02156 (2024) - [i27]Ralf Hiptmair, Christoph Schwab, Euan A. Spence:
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. CoRR abs/2408.01194 (2024) - [i26]Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence:
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations. CoRR abs/2408.04507 (2024) - [i25]Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR abs/2408.16580 (2024) - 2023
- [j29]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): 27 (2023) - [j28]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): 567-590 (2023) - [j27]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): 319-321 (2023) - [j26]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency. SIAM J. Math. Anal. 55(4): 3344-3394 (2023) - [j25]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): 3903-3958 (2023) - [j24]Jeffrey Galkowski, Euan A. Spence:
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? SIAM Rev. 65(3): 806-828 (2023) - [i24]Jeffrey Galkowski, Euan A. Spence:
Sharp preasymptotic error bounds for the Helmholtz h-FEM. CoRR abs/2301.03574 (2023) - [i23]Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence:
Optimisation of seismic imaging via bilevel learning. CoRR abs/2301.10762 (2023) - [i22]Martin Averseng, Euan A. Spence, Jeffrey Galkowski:
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies. CoRR abs/2304.14737 (2023) - 2022
- [j23]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): 37 (2022) - [j22]David Lafontaine, Euan A. Spence, Jared Wunsch:
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients. Comput. Math. Appl. 113: 59-69 (2022) - [j21]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): 175-215 (2022) - [j20]David Lafontaine, Euan A. Spence, Jared Wunsch:
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. Numerische Mathematik 150(1): 137-178 (2022) - [j19]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): 299-371 (2022) - [j18]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): 259-306 (2022) - [j17]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): 1446-1469 (2022) - [i21]Jeffrey Galkowski, Euan A. Spence:
The Helmholtz boundary element method does not suffer from the pollution effect. CoRR abs/2201.09721 (2022) - [i20]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 abs/2202.06939 (2022) - [i19]Euan A. Spence, Jared Wunsch:
Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification. CoRR abs/2203.10270 (2022) - [i18]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 abs/2207.05542 (2022) - [i17]Simon N. Chandler-Wilde, Euan A. Spence:
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. CoRR abs/2210.02432 (2022) - [i16]David Lafontaine, Euan A. Spence:
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition. CoRR abs/2211.14659 (2022) - 2021
- [j16]Ivan G. Graham, Owen R. Pembery, Euan A. Spence:
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. 47(5): 68 (2021) - [j15]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping. SIAM J. Math. Anal. 53(6): 6724-6770 (2021) - [i15]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. CoRR abs/2101.02116 (2021) - [i14]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves. CoRR abs/2101.02154 (2021) - [i13]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 abs/2102.05367 (2021) - [i12]David Lafontaine, Euan A. Spence, Jared Wunsch:
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method. CoRR abs/2102.13081 (2021) - [i11]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 abs/2103.11379 (2021) - [i10]Jeffrey Galkowski, David Lafontaine, Euan A. Spence:
Perfectly-matched-layer truncation is exponentially accurate at high frequency. CoRR abs/2105.07737 (2021) - [i9]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 abs/2105.11383 (2021) - [i8]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 abs/2106.05218 (2021) - [i7]Jeffrey Galkowski, Pierre Marchand, Euan A. Spence:
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. CoRR abs/2109.06017 (2021) - [i6]Ralf Hiptmair, Andrea Moiola, Euan A. Spence:
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. CoRR abs/2109.08530 (2021) - [i5]Shihua Gong, Ivan G. Graham, Euan A. Spence:
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR abs/2110.14495 (2021) - 2020
- [j14]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): 58-87 (2020) - [j13]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): 845-893 (2020) - [j12]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): 2515-2543 (2020) - [i4]Shihua Gong, Ivan G. Graham, Euan A. Spence:
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR abs/2004.03996 (2020) - [i3]Ivan G. Graham, Owen R. Pembery, Euan A. Spence:
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR abs/2005.13390 (2020) - [i2]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 abs/2010.00585 (2020)
2010 – 2019
- 2019
- [j11]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: 110-131 (2019) - [j10]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): 2559-2604 (2019) - [j9]Jeffrey Galkowski, Eike Hermann Müller, Euan A. Spence:
Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem. Numerische Mathematik 142(2): 329-357 (2019) - [i1]David Lafontaine, Euan A. Spence, Jared Wunsch:
A sharp relative-error bound for the Helmholtz h-FEM at high frequency. CoRR abs/1911.11093 (2019) - 2017
- [j8]Ivan G. Graham, Euan A. Spence, Eero Vainikko:
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. 86(307): 2089-2127 (2017) - 2016
- [j7]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): 229-267 (2016) - 2015
- [j6]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): 567-614 (2015) - 2014
- [j5]Euan A. Spence:
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering. SIAM J. Math. Anal. 46(4): 2987-3024 (2014) - [j4]Andrea Moiola, Euan A. Spence:
Is the Helmholtz Equation Really Sign-Indefinite? SIAM Rev. 56(2): 274-312 (2014) - 2012
- [j3]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: 89-305 (2012) - [j2]Athanassios S. Fokas, Euan A. Spence:
Synthesis, as Opposed to Separation, of Variables. SIAM Rev. 54(2): 291-324 (2012) - 2011
- [j1]Timo Betcke, Euan A. Spence:
Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering. SIAM J. Numer. Anal. 49(4): 1572-1601 (2011)
Coauthor Index
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last updated on 2024-12-10 20:42 CET by the dblp team
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