3 papers
math.NA2025
A domain decomposition method for computing the scattering matrix of waveguide circuits
Tristan Goodwill, Shidong Jiang, Manas Rachh +1
We analyze and develop numerical methods for time-harmonic wave scattering in metallic waveguide structures of infinite extent. We show that radiation boundary conditions formulate…
math.NA2024
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…
math.NA2024
Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space
Charles L. Epstein, Leslie Greengard, Jeremy Hoskins +2
We present a new complexification scheme based on the classical double layer potential for the solution of the Helmholtz equation with Dirichlet boundary conditions in compactly pe…