Euan A. Spence

Orcid: 0000-0003-1236-4592

Affiliations:
  • University of Bath, UK


According to our database1, Euan A. Spence authored at least 43 papers between 2011 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
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

2023
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?
SIAM Rev., August, 2023

Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method.
SIAM J. Math. Anal., August, 2023

Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency.
SIAM J. Math. Anal., August, 2023

Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains.
Numerische Mathematik, June, 2023

Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification.
SIAM/ASA J. Uncertain. Quantification, June, 2023

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., April, 2023

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies.
CoRR, 2023

Optimisation of seismic imaging via bilevel learning.
CoRR, 2023

Sharp preasymptotic error bounds for the Helmholtz h-FEM.
CoRR, 2023

2022
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems.
Math. Comput., September, 2022

Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem.
SIAM J. Appl. Math., August, 2022

A sharp relative-error bound for the Helmholtz h-FEM at high frequency.
Numerische Mathematik, 2022

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation.
Numerische Mathematik, 2022

Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains.
Numerische Mathematik, 2022

Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition.
CoRR, 2022

Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains.
CoRR, 2022

The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect.
CoRR, 2022

The Helmholtz boundary element method does not suffer from the pollution effect.
CoRR, 2022

Wavenumber-explicit convergence of the <i>hp</i>-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients.
Comput. Math. Appl., 2022

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
Adv. Comput. Math., 2022

2021
Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping.
SIAM J. Math. Anal., 2021

High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem.
CoRR, 2021

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem.
CoRR, 2021

Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method.
CoRR, 2021

Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves.
CoRR, 2021

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification.
Adv. Comput. Math., 2021

2020
Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption.
SIAM J. Numer. Anal., 2020

High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis.
SIAM J. Math. Anal., 2020

The Helmholtz Equation in Random Media: Well-Posedness and A Priori Bounds.
SIAM/ASA J. Uncertain. Quantification, 2020

Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients.
CoRR, 2020

Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation.
CoRR, 2020

2019
Wavenumber-explicit analysis for the Helmholtz <i>h</i>-BEM: error estimates and iteration counts for the Dirichlet problem.
Numerische Mathematik, 2019

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption.
Math. Comput., 2019

Can coercive formulations lead to fast and accurate solution of the Helmholtz equation?
J. Comput. Appl. Math., 2019

2017
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption.
Math. Comput., 2017

2016
Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations.
SIAM J. Math. Anal., 2016

2015
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?
Numerische Mathematik, 2015

2014
Is the Helmholtz Equation Really Sign-Indefinite?
SIAM Rev., 2014

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering.
SIAM J. Math. Anal., 2014

2012
Synthesis, as Opposed to Separation, of Variables.
SIAM Rev., 2012

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering.
Acta Numer., 2012

2011
Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering.
SIAM J. Numer. Anal., 2011


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