Discontinuous finite element methods for a bi-wave equation modeling $d$-wave superconductors
نویسندگان
چکیده
منابع مشابه
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-Landautype 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 for approximating the fourthorder biharmonic equation...
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In this paper we develop two conforming finite element methods for a fourth order bi-wave equation arising as a simplified Ginzburg-Landau-type model for d-wave superconductors in absence of applied magnetic field. Unlike the biharmonic operator ∆2, the bi-wave operator 2 is not an elliptic operator, so the energy space for the bi-wave equation is much larger than the energy space for the bihar...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2010
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2010-02436-6