4 papers
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…
An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane using Function Extension
Fredrik Fryklund, Leslie Greengard
We describe a new, adaptive solver for the two-dimensional Poisson equation in complicated geometries. Using classical potential theory, we represent the solution as the sum of a v…
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…
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…