A 3-D finite element formulation for calculating Meissner currents in superconductors

Author

Cordier, C. ; Flament, S. ; Dubuc, C.

Author_Institution

Caen Univ., France

Volume

9

Issue

1

fYear

1999

fDate

3/1/1999 12:00:00 AM

Firstpage

2

Lastpage

6

Abstract

A three-dimensional (3-D) finite element formulation for calculating Meissner currents in superconductors is presented. The authors have chosen a magnetic vector potential formulation, which also enables them to simulate ferromagnetic shielding. The equations are written so that the problem can be solved by the use of a conjugate gradient algorithm without preconditioning. Numerical results on normal-superconductor junctions and on superconducting lines are compared with analytical solutions.

Keywords

Maxwell equations; Meissner effect; SQUID magnetometers; conjugate gradient methods; finite element analysis; magnetic shielding; superconducting transmission lines; superconductor-normal-superconductor devices; 3D finite element formulation; Meissner currents; conjugate gradient algorithm; ferromagnetic shielding; magnetic vector potential formulation; normal-superconductor junctions; superconducting lines; superconductors; Boundary conditions; Finite element methods; Josephson junctions; Magnetic analysis; Magnetic flux; Magnetic shielding; Maxwell equations; SQUID magnetometers; Superconducting magnets; Superconductivity;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/77.763249

Filename

763249