A harmonic expansion for the magnetic field of the helical solenoid

DOI10.1016/0021-9991(88)90179-9zbMath0652.65093OpenAlexW1992871785MaRDI QIDQ1107291

H. J. Gardner, Robert L. Dewar

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90179-9

zbMATH Keywords

convergenceharmonic expansionFourier-Bessel seriesmagnetic potentialstranscendental equationsGreen's function integral representationhelically symmetric solenoid

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) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Computational methods for problems pertaining to astronomy and astrophysics (85-08)

Related Items (1)

The free-boundary equilibrium problem for helically symmetric plasmas

Cites Work

• On the limitations of spherical harmonics for the solution of Laplace's equation
• The free-boundary equilibrium problem for helically symmetric plasmas
• An iterative metric method for solving the inverse tokamak equilibrium problem
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Calculation of the Singularities of a Magnetic Field
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