Exact solution of Poisson's equation with an elliptical boundary
type: Item
instance of: scholarly article
title: Exact solution of Poisson's equation with an elliptical boundary
zbMATH Open document ID: 1334.35024
author: André Liemert
author: Alwin Kienle
published in: Applied Mathematics and Computation
publication date: 2016-04-25T00:00:00Z
Mathematics Subject Classification ID: 35J08
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6573206
zbMATH Keywords: Poisson equation
zbMATH Keywords: green's function
zbMATH Keywords: elliptic coordinates
MaRDI profile type: Publication
full work available at URL: j.amc.2014.04.003
OpenAlex ID: W1987865828
cites work: Q5821083
cites work: Conduction of heat in solids
cites work: Separation of variables for a lattice integrable system and the inverse problem
cites work: Fast direct solvers for Poisson equation on 2D polar and spherical geometries
cites work: Fast direct solver for Poisson equation in a 2D elliptical domain
cites work: Finite Element Methods for Maxwell's Equations
cites work: The closed-form solution for the 2D Poisson equation with a rectangular boundary
cites work: Q5816860
DOI: 10.1016/J.AMC.2014.04.003
Recommended article: Q3692796
Recommended article: Solution to the form of Poisson equation by the boundary element methods
Recommended article: Solution of Poisson's equation by analytical boundary element integration
Recommended article: The closed-form solution for the 2D Poisson equation with a rectangular boundary
Recommended article: A simple analytical solution of Poisson’s equation on a region bounded by hyperbolae
Recommended article: Explicit solutions of the boundary value problems for an ellipse with double porosity
Recommended article: Exact solution for the Poisson field in a semi-infinite strip
Recommended article: Solution of the Poisson equation in an annulus
Recommended article: Q3102640
description: scientific article; zbMATH DE number 6573206