Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors

@article{Feng2011DiscontinuousFE,
  title={Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors},
  author={Xiaobing Feng and Michael Neilan},
  journal={Math. Comput.},
  year={2011},
  volume={80},
  pages={1303-1333}
}
This paper concerns discontinuous nite element approximations of a fourth order bi-wave equation arising as a simplied Ginzburg-Landau- type model for d-wave superconductors in the absence of an applied magnetic eld. In the rst half of the paper, we construct a variant of the Morley nite element method, which was originally developed for approximating the fourth- order biharmonic equation, for the bi-wave equation. It is proved that, unlike the biharmonic equation, it is necessary to impose a… Expand
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