77 citations · 550 across the 45 of their papers we have counts for
45 papers
Tolerance-driven close evaluation of the Stokes double layer potential on axisymmetric surfaces
David Krantz, Pritpal Matharu, Anna-Karin Tornberg
We consider boundary integral methods for Stokes mobility and resistance problems involving smooth axisymmetric particles. A primary numerical challenge is the accurate and efficie…
Fast unified evaluation of layer and volume potentials for the 2D modified Helmholtz equation
Edith Frisk Gärtner, Fredrik Fryklund, Anna-Karin Tornberg
We present a fast and accurate potential theory-based method for the two-dimensional modified Helmholtz equation, treating the involved singular and nearly singular layer evaluatio…
Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
David Krantz, Ludvig af Klinteberg, Anna-Karin Tornberg
Dual-space multilevel kernel-splitting (DMK) is a fast summation framework that combines ideas from the fast multipole method, Ewald summation, and multilevel summation. Originally…
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…
Fast Ewald Summation using Prolate Spheroidal Wave Functions
Erik Boström, Anna-Karin Tornberg, Ludvig af Klinteberg
Fast Ewald summation efficiently evaluates Coulomb interactions and is widely used in molecular dynamics simulations. It is based on a split into a short-range and a long-range par…
Fast summation of Stokes potentials using a new kernel-splitting in the DMK framework
Ludvig af Klinteberg, Leslie Greengard, Shidong Jiang +1
Classical Ewald methods for Coulomb and Stokes interactions rely on ``kernel-splitting," using decompositions based on Gaussians to divide the resulting potential into a near field…