Numerical solution of Poisson's equation for rapidly varying driving functions
type: Item
instance of: scholarly article
title: Numerical solution of Poisson's equation for rapidly varying driving functions
zbMATH Open document ID: 0693.65069
DOI: 10.1016/0021-9991(89)90190-3
author: N. E. Zubov
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The authors study the classical method of first sampling and then applying an ideal low-pass filter as a tool for reducing aliasing errors. They claim that the method gives a good approximation to the signal subjected to a low-pass filter only. As a tool for reducing the effects of Gibb's oscillations it is suggested to discretize the sampled and filtered signal by averaging over cells. The method is applied to the computation of a potential, where errors are reduced by roughly 50 \%.
reviewed by: S. Leif Svensson
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4135347
zbMATH Keywords: Poisson's equation
zbMATH Keywords: fast Fourier transform algorithm
zbMATH Keywords: sampling
zbMATH Keywords: ideal low-pass filter
zbMATH Keywords: aliasing errors
zbMATH Keywords: Gibb's oscillations
zbMATH Keywords: sampled and filtered signal
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90190-3
OpenAlex ID: W2035523182
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 solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm
cites work: Q5722964
description: scientific article; zbMATH DE number 4135347