On the double criticalstate model for typeII superconductivity in 3D
Preprint Series # 881 Kashima, Yohei On the double criticalstate model for typeII superconductivity in 3D. (2007); AbstractIn this paper we mathematically analyse an evolution variational
inequality which formulates the double criticalstate model for typeII
superconductivity in 3D space and propose a finite element method to
discretize the formulation. The double criticalstate model originally
proposed by Clem and PerezGonzalez is formulated as a model in 3D space
which characterises the nonlinear relation between the electric field,
the electric current, the perpendicular component of the electric current
to the magnetic flux, and the parallel component of the current to the
magnetic flux in bulk typeII superconductor. The existence of a solution to
the variational inequality formulation is proved and the representation
theorem of subdifferential for a class of energy functionals including our
energy is established. The variational inequality formulation is discretized
in time by a semiimplicit scheme and in space by the edge finite element of
lowest order on a tetrahedral mesh. The fully discrete formulation is an
unconstrained optimisation problem. The subsequence convergence property of
the fully discrete solution is proved. Some numerical results computed under
a rotating applied magnetic field are presented.
Item Type:  Preprint 

Additional Information:  I would like 20 hard copies. Professor Gen Nakamura is my
recommender for this work. 

Uncontrolled Keywords:  The double criticalstate model for superconductivity, evolution variational inequality, Maxwell's equations, edge finite element, convergence, computational electromagnetism.


Subjects:  65xx NUMERICAL ANALYSIS 

ID Code:  1786 

