- We introduce a finite element approximation of a variational formulation of Bean's model for the physical configuration of an infinitely long cylindrical superconductor subject to a transverse magnetic field. We prove an error between the exact solution and the approximate solution for the current density and the magnetic field in appropriate norms of order h1/2 + Δt. Numerical simulations for a variety of applied magnetic fields are also presented. © 2004 Society for Industrial and Applied Mathematics.
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A finite element approximation of a variational inequality formulation of Bean's model for superconductivity
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