# 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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