Solve Grad Shafranov Equation using Finite element method?

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SUMMARY

The discussion focuses on solving the Grad-Shafranov equation using the Finite Element Method (FEM). Key references provided include Gruber, Iacono, and Troyon's work from the Journal of Computational Physics (1987), K. Lackner's article in Computer Physics Communications (1976), and J. Blum et al.'s paper from Computer Physics Communications (1981). Additionally, Stephen Jardin's book, "Computational Methods in Plasma Physics," is recommended for further reading. The conversation highlights the importance of these resources for understanding numerical methods applicable to the Grad-Shafranov equation.

PREREQUISITES
  • Understanding of the Grad-Shafranov equation
  • Familiarity with Finite Element Method (FEM)
  • Knowledge of numerical methods in computational physics
  • Basic principles of plasma physics
NEXT STEPS
  • Read "Computational Methods in Plasma Physics" by Stephen Jardin
  • Study the paper by Gruber, Iacono, and Troyon in the Journal of Computational Physics (1987)
  • Explore K. Lackner's article in Computer Physics Communications (1976)
  • Investigate spectral element methods for solving the Grad-Shafranov equation
USEFUL FOR

Researchers, physicists, and engineers involved in plasma physics, particularly those focused on numerical methods for solving the Grad-Shafranov equation using FEM.

adwiteeymauri
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I want to compute the flux surfaces using FEM but i haven't found any good source to read. any help will be appreciated.
Thank you
 
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Are you looking for references of finite elements? the Grad-Shafranov equation? or specifically using finite elements to solve the Grad-Shafranov equation?

I would suggest looking into:
Gruber, Iacono, and Troyon Journal of Computational Physics 1987
K. Lackner Computer Physics Communications 12, 1976
J Blum, J Le Foll and B Thooris Computer Physics Communications 24, 1981
J.L. Johnson Journal of Computational Physics 32, 1979

Some of these papers deal specifically with finite elements, others are review papers of numerical methods used to solve the Grad-Shafranov equation.

You might also look into Stephen Jardin's book: Computational Methods in Plasma Physics

I've written a spectral element code that solves the GS equation, and can probably answer any specific questions you have.
 
Thanks a lot the_wolfman to reply. I have found the exact thing your first reference this was what i was looking for... i will try that then will ask you again.thanks again :)
 

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