Non-singular Green's functions for the unbounded Poisson equation in one, two and three dimensions

DOI10.1016/j.aml.2018.09.012zbMath1414.35056arXiv1704.00704OpenAlexW2886355768MaRDI QIDQ1726557

Grégoire Winckelmans, Mads Mølholm Hejlesen, Jens Honoré Walther

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00704

zbMATH Keywords

Green's functionunbounded domainPoisson equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (4)

Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials ⋮ Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ Poissonsolver ⋮ FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers

Uses Software

• DLMF
• GitHub

Cites Work

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• A high order solver for the unbounded Poisson equation
• High order accurate vortex methods with explicit velocity kernels
• Vortex methods for flow simulation
• Contributions to vortex particle methods for the computation of three- dimensional incompressible unsteady flows
• A regularization method for solving the Poisson equation for mixed unbounded-periodic domains
• A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions
• Fast convolution with free-space Green's functions
• A Fast Adaptive Multipole Algorithm for Particle Simulations

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