Solve Grad Shafranov Equation using Finite element method?

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 :)
 

Thread 'Volterra equation of the second kind'

There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
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