The solution by fast Fourier transforms of Laplace's equation in a toroidal region with a rectangular cross-section

DOI10.1016/0771-050X(80)90001-7zbMath0439.65083MaRDI QIDQ1142551

J. B. Campbell

Publication date: 1980

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical resultsfast Fourier transform methodLaplace's equationelectrostatic field9- point difference approximationtoroidal region

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Direct numerical methods for linear systems and matrix inversion (65F05) Electro- and magnetostatics (78A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Uses Software

• Four67

Cites Work

• Finite difference techniques for ring capacitors
• Some Comments on the Solution of Poisson's Equation using Bickley's Formula and Fast Fourier Transforms
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• Unnamed Item

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