4 citations · 4 across the 4 of their papers we have counts for
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An adaptive kernel-split quadrature method for parameter-dependent layer potentials
Fredrik Fryklund, Ludvig af Klinteberg, Anna-Karin Tornberg
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimens…
Accurate evaluation of integrals in slender-body formulations for fibers in viscous flow
Anna-Karin Tornberg
A non-local slender body approximation for slender flexible fibers in Stokes flow can be derived, yielding an integral equation along the center lines of the fibers that involves a…
An accurate integral equation method for Stokes flow with piecewise smooth boundaries
Lukas Bystricky, Sara Pålsson, Anna-Karin Tornberg
Two-dimensional Stokes flow through a periodic channel is considered. The channel walls need only be Lipschitz continuous, in other words they are allowed to have corners. Boundary…
An integral equation method for closely interacting surfactant-covered droplets in wall-confined Stokes flow
Sara Pålsson, Anna-Karin Tornberg
A highly accurate method for simulating surfactant-covered droplets in two-dimensional Stokes flow with solid boundaries is presented. The method handles both periodic channel flow…
An integral equation based numerical method for the forced heat equation on complex domains
Fredrik Fryklund, Mary Catherine A. Kropinski, Anna-Karin Tornberg
Integral equation based numerical methods are directly applicable to homogeneous elliptic PDEs, and offer the ability to solve these with high accuracy and speed on complex domains…