Mimetic Methods for Lagrangian Relaxation of Magnetic Fields

@article{Candelaresi2014MimeticMF,
  title={Mimetic Methods for Lagrangian Relaxation of Magnetic Fields},
  author={Simon Candelaresi and David I. Pontin and G. Hornig},
  journal={SIAM J. Sci. Comput.},
  year={2014},
  volume={36}
}
We present a new code that performs a relaxation of a magnetic field toward a force-free state (Beltrami field) using a Lagrangian numerical scheme. Beltrami fields are of interest for the dynamics of many technical and astrophysical plasmas as they are the lowest energy states that the magnetic field can reach. The numerical method strictly preserves the magnetic flux and the topology of magnetic field lines. In contrast to other implementations we use mimetic operators for the spatial… 
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