10 citations · 10 across the 4 of their papers we have counts for
4 papers
A Trefftz Continuous Galerkin method for Helmholtz problems
Nicola Galante, Bruno Després, Emile Parolin
This work introduces a novel Trefftz Continuous Galerkin (TCG) method for 2D Helmholtz problems based on evanescent plane waves (EPWs). We construct a new globally-conforming discr…
Stable approximation of Helmholtz solutions in the 3D ball using evanescent plane waves
Nicola Galante, Andrea Moiola, Emile Parolin
The goal of this paper is to show that evanescent plane waves are much better at numerically approximating Helmholtz solutions than classical propagative plane waves. By generalizi…
Stable approximation of Helmholtz solutions in the disk by evanescent plane waves
Emile Parolin, Daan Huybrechs, Andrea Moiola
Superpositions of plane waves are known to approximate well the solutions of the Helmholtz equation. Their use in discretizations is typical of Trefftz methods for Helmholtz proble…
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation
Andrew Gibbs, David Hewett, Daan Huybrechs +1
We present a hybrid numerical-asymptotic (HNA) boundary element method (BEM) for high frequency scattering by two-dimensional screens and apertures, whose computational cost to ach…