POT4A - A program for the direct solution of Poisson's equation in complex geometries
type: Item
instance of: scholarly article
title: POT4A - A program for the direct solution of Poisson's equation in complex geometries
zbMATH Open document ID: 0578.65106
DOI: 10.1016/0010-4655(85)90017-7
author: S. J. Beard
author: Roger W. Hockney
published in: Computer Physics Communications
publication date: 1985-01-01T00:00:00Z
review text: The program solves Poisson's equation in a rectangular region. Electrodes and dielectric interfaces can be included anywhere in the region. An electrode is defined as a line segment along which the potential is held at a given value. A dielectric interface is defined as a line across which the normal component of the electric displacement is held constant. The boundary conditions on the edge of the rectangle can be given value, zero normal gradient or periodic in the x-direction. In the y-direction, in addition to these conditions, a mixed boundary condition of the form \(a\phi +b\frac{\partial \phi}{\partial y}=c(x)\) and an open boundary condition, where \(\frac{\partial \phi}{\partial y}\to 0\) as \(| y| \to \infty\) are included. The program was developed to solve problems in electrostatics but can also be applied in other fields.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 35-04
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 3926162
zbMATH Keywords: Poisson's equation
zbMATH Keywords: direct methods
zbMATH Keywords: Fourier analysis
zbMATH Keywords: cyclic
zbMATH Keywords: reduction
zbMATH Keywords: irregular regions
zbMATH Keywords: two-dimensional isolated system
zbMATH Keywords: electrodes
zbMATH Keywords: dielectric interfaces
zbMATH Keywords: capacity matrix
MaRDI profile type: Publication
full work available at URL: 0010-4655(85)90017-7
OpenAlex ID: W2056033950
cites work: A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
cites work: An Algorithm for the Machine Calculation of Complex Fourier Series
description: scientific article; zbMATH DE number 3926162