Euan A. Spence

1. Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
   2021/10/27 by Shihua Gong, Ivan G. Graham, Gong, Shihua +3 · 2 citations
   Engineering · #35J05 #65F08 #65F10 #65N22 #65N55 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
2. Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
   2025/06/18 by Martin Averseng, Jeffrey Galkowski, Averseng, Martin +3 · 1 voice
   #math.NA #math.AP
3. Sharp high-frequency estimates for the Helmholtz equation and\n applications to boundary integral equations
   2015/04/04 by Dean Baskin, Euan A. Spence, Baskin, Dean +3 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #35P25 #65N12 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
4. Does the Helmholtz boundary element method suffer from the pollution effect?
   2022/01/24 by Jeffrey Galkowski, Galkowski, Jeffrey, Euan A. Spence +1 · 1 citation
   Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
5. Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
   2022/10/05 by Simon N. Chandler‐Wilde, Euan A. Spence, Chandler-Wilde, Simon N. +1 · 1 citation
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems
6. The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
   2022/07/12 by Jeffrey Galkowski, Galkowski, Jeffrey, David Lafontaine +5 · 1 citation
   Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
7. Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
   2020/10/01 by David Lafontaine, Euan A. Spence, Lafontaine, David +3 · 1 citation
   Computer Science · Engineering · Mathematics · #35J05 #65N15 #65N30 #78A45 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
8. The hp-FEM does not suffer from the pollution effect for piecewise-smooth Helmholtz problems with Gevrey regularity at boundaries
   2026/07/17 by Jeffrey Galkowski, Mostafa Meliani, Euan A. Spence
   #math.NA #cs.NA