E. Spence

activity

20152026

most citedDomain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

49 citations · 144 across the 45 of their papers we have counts for

collaborators

Showing 2023 · math.NAShow all

3 papers · 2 filters

math.NA2023

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies

Martin Averseng, Euan A. Spence, Jeffrey Galkowski

For $h$ -FEM discretisations of the Helmholtz equation with wavenumber $k$ , we obtain $k$ -explicit analogues of the classic local FEM error bounds of [Nitsche, Schatz 1974], [Wahlbi…

math.NA2023

Optimising seismic imaging design parameters via bilevel learning

Shaunagh Downing, Silvia Gazzola, Ivan G. Graham +1

Full Waveform Inversion (FWI) is a standard algorithm in seismic imaging. Its implementation requires the a priori choice of a number of "design parameters", such as the positions…

math.NA2023★ 1 cited

Sharp preasymptotic error bounds for the Helmholtz $h$ -FEM

Jeffrey Galkowski, Euan A. Spence

In the analysis of the $h$ -version of the finite-element method (FEM), with fixed polynomial degree $p$ , applied to the Helmholtz equation with wavenumber $k ≫ 1$ , the $\textit{as…

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies

Optimising seismic imaging design parameters via bilevel learning

Sharp preasymptotic error bounds for the Helmholtz h-FEM

Sharp preasymptotic error bounds for the Helmholtz $h$ -FEM