Numerical solution of the cylindrical Poisson equation using the local Taylor polynomial technique

DOI10.1016/J.JCP.2012.04.034zbMath1251.65167OpenAlexW2077999757MaRDI QIDQ453108

A. C. F. Wu, J. P. Verboncoeur, Richard H. F. Jackson

Publication date: 18 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.04.034

zbMATH Keywords

algorithmscylindrical coordinatesnumerical examplesPoisson equationnon-uniform gridlocal Taylor polynomial techniqueparticle-in-cell methods

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Euler-Poisson-Darboux equations (35Q05)

Uses Software

• Wesseling
• OOPIC

Cites Work

• FDTD based second-order accurate local mesh refinement method for Maxwell's equations in two space dimensions
• Symmetric spline weighting for charge and current density in particle simulation

This page was built for publication: Numerical solution of the cylindrical Poisson equation using the local Taylor polynomial technique