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Alex H. Barnett

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Aug 2026

A Fully Adaptive, High-Order, Fast Poisson Solver for Multiscale Smooth Two-Dimensional Geometries

Abstract. 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 or the fast Fourier transform can efficiently treat the volumetric inhomogeneity but require care to be taken near the boundary...

D. Fortunato, David B. Stein, Alex H. Barnett · 0 citations

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