Direct solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm

DOI10.1016/0021-9991(85)90187-1zbMath0555.65069OpenAlexW2027476987MaRDI QIDQ760781

E. E. Kunhardt, Poul Frederick Williams

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90187-1

zbMATH Keywords

stabilityfast Fourier transformsPoisson's equationcubic splinesdirect methodsError

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Monte Carlo technique for simulating the evolution of an assembly of particles increasing in number ⋮ Numerical solution of Poisson's equation for rapidly varying driving functions ⋮ Towards a more accurate flux corrected transport algorithm ⋮ A subprogram for direct solution of Poisson equation in cylindrically symmetric geometry

Cites Work

• Fourth-order Poisson solver for the simulation of bounded plasmas
• The solution of Poisson's equation for isolated source distributions
• Direct solutions for Poisson's equation in three dimensions
• Use of fast Fourier transforms for solving partial differential equations in physics
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The use of cubic splines in the solution of two-point boundary value problems

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