2 papers
math.NA2025
A fully adaptive, high-order, fast Poisson solver for complex two-dimensional geometries
Daniel Fortunato, David B. Stein, Alex H. Barnett
We present a new framework for the fast solution of inhomogeneous elliptic boundary value problems in domains with smooth boundaries. High-order solvers based on adaptive box codes…
math.NA2021
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects
David B. Stein, Alex H. Barnett
Well-conditioned boundary integral methods for the solution of elliptic boundary value problems (BVPs) are powerful tools for static and dynamic physical simulations. When there ar…