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Numerical approximation of vortex density evolution in a superconductor

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posted on 2023-06-07, 21:52 authored by C M Elliott, Vanessa StylesVanessa Styles
A finite volume/element approximation of a mean field model of superconducting vortices in one and two space dimensions is presented. The model incorporates positive and negative vorticity with time dependent applied magnetic field, flux pinning and boundary nucleation. Stability bounds on the solutions of these approximations are proved. Some computed results are presented.

History

Publication status

  • Published

Publisher

CHAPMAN & HALL/CRC PRESS, 6000 BROKEN SOUND PKWY, NW, STE 300, BOCA RATON, FL 33487 USA

Volume

420

Page range

93-113

Presentation Type

  • paper

Event name

18th Dundee Biennial Conference on Numerical Analysis

Event location

UNIV DUNDEE, DUNDEE, SCOTLAND, JUN 29-JUL 02, 1999

Event type

conference

ISBN

1-58488-020-1

Department affiliated with

  • Mathematics Publications

Notes

Source: NUMERICAL ANALYSIS JOURNAL

Full text available

  • No

Peer reviewed?

  • Yes

Editors

DF Griffiths, GA Watson

Legacy Posted Date

2012-02-06

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