A finite element approximation of a variational inequality formulation of Bean's model for superconductivity
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 curr...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2004
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| Summary: | 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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