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 2022 · math.NAShow all

3 papers · 2 filters

math.NA2022

Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains

Simon N. Chandler-Wilde, Euan A. Spence

We present new second-kind integral-equation formulations of the interior and exterior Dirichlet problems for Laplace's equation. The operators in these formulations are both conti…

math.NA2022

A simple proof that the $h p$ -FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation

Euan A. Spence

In $d$ dimensions, approximating an arbitrary function oscillating with frequency $≲ k$ requires $\sim k^{d}$ degrees of freedom. A numerical method for solving the Helmholtz…

math.NA2022

Does the Helmholtz boundary element method suffer from the pollution effect?

Jeffrey Galkowski, Euan A. Spence

In $d$ dimensions, accurately approximating an arbitrary function oscillating with frequency $≲ k$ requires $\sim k^{d}$ degrees of freedom. A numerical method for solving the…

Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains

A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation

Does the Helmholtz boundary element method suffer from the pollution effect?

A simple proof that the $h p$ -FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation