Asymptotic Preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction

@article{Narski2014AsymptoticPS,
  title={Asymptotic Preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction},
  author={Jacek Narski and M. Ottaviani},
  journal={Comput. Phys. Commun.},
  year={2014},
  volume={185},
  pages={3189-3203}
}
  • Jacek Narski, M. Ottaviani
  • Published in Comput. Phys. Commun. 2014
  • Computer Science, Mathematics
  • Abstract This paper deals with the numerical study of a strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to high anisotropy. Furthermore, the recently proposed Asymptotic-Preserving method (Lozinski et al., 2012) allows one to perform simulations regardless of the anisotropy strength but its application is limited to the case where the anisotropy direction is given by a field whose lines are all open. In this paper we introduce a new… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 19 REFERENCES

    A fast semi-implicit method for anisotropic diffusion

    VIEW 1 EXCERPT

    A new smoothed aggregation multigrid method for anisotropic problems

    VIEW 1 EXCERPT

    Preserving monotonicity in anisotropic diffusion

    VIEW 1 EXCERPT