50 citations · 59 across the 6 of their papers we have counts for
4 papers · 1 filter
Stabilizing the singularity swap quadrature for near-singular line integrals
David Krantz, Alex H. Barnett, Anna-Karin Tornberg
Singularity swap quadrature (SSQ) is an effective method for the evaluation at nearby targets of potentials due to densities on curves in three dimensions. While highly accurate in…
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…
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…
Efficient Convergent Boundary Integral Methods for Slender Bodies
Dhairya Malhotra, Alex Barnett
The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and biological processes, such as sedimentation, rheology, transport, cell division, and lo…