2 papers
math.NA2026
An efficient Galerkin method for high-frequency scattering problems using Wilson bases
T. Chaumont-Frelet, M. Ingremeau, F. Proust
We propose a new Galerkin discretization scheme for wave scattering problems that is based on microlocalised basis functions. We show that the proposed method can be made uniformly…
math.NA2025
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
T. Chaumont-Frelet, V. Dolean, M. Ingremeau
We introduce new finite-dimensional spaces specifically designed to approximate the solutions to high-frequency Helmholtz problems with smooth variable coefficients in dimension $d…