3 papers
math.NA2026
Preconditioning for near-contacts in large 2D Stokes flows: a locally compressed method of fundamental solutions
Anna Broms, Anna-Karin Tornberg, Alex H. Barnett
We tackle two key difficulties in the simulation of the viscous hydrodynamics of a large dense collection of rigid particles: (i) the poor convergence rate of an iterative solution…
math.NA2025
A Method of Fundamental Solutions for Large-Scale 3D Elastance and Mobility Problems
Anna Broms, Alex H. Barnett, Anna-Karin Tornberg
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 simp…
math.NA2024
Accurate close interactions of Stokes spheres using lubrication-adapted image systems
Anna Broms, Alex H. Barnett, Anna-Karin Tornberg
Stokes flows with near-touching rigid particles induce near-singular lubrication forces under relative motion, making their accurate numerical treatment challenging. With the aim o…