4 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 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…
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…
Adaptive singularity swap quadrature for near-singular layer potentials on axisymmetric surfaces
David Krantz, Anna-Karin Tornberg
When numerically evaluating layer potentials at target points close to the domain boundary, specialized quadrature techniques are required for accuracy because of rapid variations…