On the solution of Poisson's equation on a regular hexagonal grid using FFT methods

DOI10.1016/0021-9991(86)90036-7zbMath0618.65082OpenAlexW2019032511MaRDI QIDQ1822470

W. M. Pickering

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90036-7

zbMATH Keywords

comparison of methodsPoisson equationfast Fourier transform methodsregular hexagonal grid

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Poisson's equation, hexagonal grids and FFT methods: Periodic boundary conditions

Cites Work

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• Single cell high order difference methods for the Helmholtz equation
• On the FACR(l) algorithm for the discrete Poisson equation
• Direct solutions for Poisson's equation in three dimensions
• Evaluation of numerical methods for elliptic partial differential equations
• Direct methods for the solution of the discrete Poisson equation: some comparisons
• Use of fast Fourier transforms for solving partial differential equations in physics
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• An Algorithm for the Machine Calculation of Complex Fourier Series
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
• On Direct Methods for Solving Poisson’s Equations

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