3 papers
cs.CE2019
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…
math.NA2019
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…
math.NA2019
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…