4 papers
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…
Fourier-based potential theory without an explicit Green's function
Fredrik Fryklund
Integral equation methods provide an effective framework for solving partial differential equations, but their applicability typically relies on the availability of explicit free-s…
Scattering theory for Stokes flow in complex branched structures
Haiyang Wang, Fredrik Fryklund, Samuel Potter +1
Slow, viscous flow in branched structures arises in many biological and engineering settings. Direct numerical simulation of flow in such complicated multi-scale geometry, however,…
A Lightweight, Geometrically Flexible Fast Algorithm for the Evaluation of Layer and Volume Potentials
Fredrik Fryklund, Leslie Greengard, Shidong Jiang +1
Over the last two decades, several fast, robust, and high-order accurate methods have been developed for solving the Poisson equation in complicated geometry using potential theory…