Direct solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm
type: Item
instance of: scholarly article
title: Direct solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm
zbMATH Open document ID: 0555.65069
DOI: 10.1016/0021-9991(85)90187-1
author: E. E. Kunhardt
author: Poul Frederick Williams
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: We describe a new algorithm for directly solving Poisson's equation in cylindrically symmetric geometries. It is based on the use of fast Fourier transforms for the axial solution, and a novel expansion in cubic splines for the radial solution. Error and stability analyses of the algorithm are included, and the results of test calculations are presented. The algorithm has proved stable, reasonably fast, and able to handle very stiff driving functions.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 3885257
zbMATH Keywords: direct methods
zbMATH Keywords: Poisson's equation
zbMATH Keywords: fast Fourier transforms
zbMATH Keywords: cubic splines
zbMATH Keywords: Error
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90187-1
OpenAlex ID: W2027476987
cites work: A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
cites work: Use of fast Fourier transforms for solving partial differential equations in physics
cites work: Direct solutions for Poisson's equation in three dimensions
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cites work: The use of cubic splines in the solution of two-point boundary value problems
cites work: Fourth-order Poisson solver for the simulation of bounded plasmas
description: scientific article; zbMATH DE number 3885257