[HTML][HTML] Accurate close interactions of Stokes spheres using lubrication-adapted image systems
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 …
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 …
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
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 …
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
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 …
numerically approximating Helmholtz solutions than classical propagative plane waves. By …
Trefftz Discontinuous Galerkin approximation of an acoustic waveguide
We propose a modified Trefftz Discontinuous Galerkin (TDG) method for approximating a
time-harmonic acoustic scattering problem in an infinitely elongated waveguide. In the …
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
We consider the finite element solution of time-harmonic wave propagation problems in
heterogeneous media with hybridizable discontinuous Galerkin (HDG) methods. In the case …
heterogeneous media with hybridizable discontinuous Galerkin (HDG) methods. In the case …