[HTML][HTML] Accurate close interactions of Stokes spheres using lubrication-adapted image systems

A Broms, AH Barnett, AK Tornberg - Journal of Computational Physics, 2025 - Elsevier
Stokes flows with near-touching rigid particles induce near-singular lubrication forces under
relative motion, making their accurate numerical treatment challenging. With the aim of …

Optimal sampling for least-squares approximation

B Adcock - arxiv preprint arxiv:2409.02342, 2024 - arxiv.org
Least-squares approximation is one of the most important methods for recovering an
unknown function from data. While in many applications the data is fixed, in many others …

A method of fundamental solutions for large-scale 3D elastance and mobility problems

A Broms, AH Barnett, AK Tornberg - arxiv preprint arxiv:2409.04215, 2024 - arxiv.org
The method of fundamental solutions (MFS) is known to be effective for solving 3D Laplace
and Stokes Dirichlet boundary value problems in the exterior of a large collection of simple …

Stable approximation of Helmholtz solutions in the ball using evanescent plane waves

N Galante, A Moiola, E Parolin - arxiv preprint arxiv:2401.04016, 2024 - arxiv.org
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 …

Trefftz Discontinuous Galerkin approximation of an acoustic waveguide

P Monk, M Pena, V Selgas - arxiv preprint arxiv:2408.14833, 2024 - arxiv.org
We propose a modified Trefftz Discontinuous Galerkin (TDG) method for approximating a
time-harmonic acoustic scattering problem in an infinitely elongated waveguide. In the …

A hybridizable Discontinuous Galerkin method with transmission variables for time-harmonic wave problems in heterogeneous media

S Pescuma, G Gabard, T Chaumont-Frelet, A Modave - 2024 - hal.science
We consider the finite element solution of time-harmonic wave propagation problems in
heterogeneous media with hybridizable discontinuous Galerkin (HDG) methods. In the case …