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...
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797067110230261760 |
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| author | Elliott, C Kay, D Styles, V |
| author_facet | Elliott, C Kay, D Styles, V |
| author_sort | Elliott, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T21:51:38Z |
| format | Journal article |
| id | oxford-uuid:4b7ae0ae-8368-45d6-aea7-cd4aaeca0908 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:51:38Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:4b7ae0ae-8368-45d6-aea7-cd4aaeca09082022-03-26T15:43:50ZA finite element approximation of a variational inequality formulation of Bean's model for superconductivityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4b7ae0ae-8368-45d6-aea7-cd4aaeca0908EnglishSymplectic Elements at Oxford2004Elliott, CKay, DStyles, VWe 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. |
| spellingShingle | Elliott, C Kay, D Styles, V A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title | A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title_full | A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title_fullStr | A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title_full_unstemmed | A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title_short | A finite element approximation of a variational inequality formulation of Bean's model for superconductivity |
| title_sort | finite element approximation of a variational inequality formulation of bean s model for superconductivity |
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