77 citations · 550 across the 45 of their papers we have counts for
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Spectrally accurate Ewald summation for the Yukawa potential in two dimensions
Sara Pålsson, Anna-Karin Tornberg
An Ewald decomposition of the two-dimensional Yukawa potential and its derivative is presented for both the periodic and the free-space case. These modified Bessel functions of the…
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…
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…