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math.NA2026
Lattice Green's functions for Poisson problems with two unbounded and one periodic direction
Gilles Poncelet, Philippe Chatelain
Fourier-based Poisson solvers treat periodic directions spectrally and unbounded ones by the Hockney--Eastwood convolution with a free-space kernel. With two unbounded and one peri…
math.NA2025
A scalable high-order multigrid-FFT Poisson solver for unbounded domains on adaptive multiresolution grids
Gilles Poncelet, Jonathan Lambrechts, Thomas Gillis +1
Multigrid solvers are among the most efficient methods for solving the Poisson equation, which is ubiquitous in computational physics. For example, in the context of incompressible…