Solution of the Poisson equation in an annulus

DOI10.1006/jcph.1996.5598zbMath0870.65106OpenAlexW2001177398MaRDI QIDQ677002

Ivar Christopher, Pierre Bertrand, George Knorr, Magdi M. Shoucri

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.5598

zbMATH Keywords

conformal mappingfast Fourier transformFourier methodPoisson equation in an annulus

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Schwarz-Christoffel-type mappings (30C30)

Related Items (1)

A direct spectral collocation Poisson solver in polar and cylindrical coordinates

Cites Work

• Free-boundary high-beta tokamaks. II. Mathematical intermezzo: Hilbert transforms and conformal mapping
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