Discontinuous finite element methods for a bi-wave equation modeling $d$-wave superconductors
Discontinuous finite element methods for a bi-wave equation modeling $d$-wave superconductors
This paper concerns discontinuous finite element approximations of a fourth-order bi-wave equation arising as a simplified Ginzburg-Landau-type model for $d$-wave superconductors in the absence of an applied magnetic field. In the first half of the paper, we construct a variant of the Morley finite element method, which was originally developed …