Finite element and higher order difference formulations for modelling heat transport in magnetised plasmas

@article{Gnter2007FiniteEA,
  title={Finite element and higher order difference formulations for modelling heat transport in magnetised plasmas},
  author={Sibylle G{\"u}nter and Karl Lackner and C. Tichmann},
  journal={J. Comput. Physics},
  year={2007},
  volume={226},
  pages={2306-2316}
}
We present a finite element analogue to the second-order, finite difference scheme for the solution of the heat diffusion equation in strongly magnetised plasmas given in Günter et al. [S. Günter et al., J. Comp. Phys. 209 (2005) 354]. Compared to standard finite element or finite difference formulations it strongly reduces the pollution of perpendicular heat fluxes by parallel ones even without resorting to field-aligned coordinates. We present both bi-linear and bi-quadratic versions of this… CONTINUE READING

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