TY - JOUR
T1 - The Bean model in superconductivity
T2 - Variational formulation and numerical solution
AU - Prigozhin, Leonid
N1 - Funding Information:
The author is grateful to S. J. Chapman, J. R. Ockendon, and J. F. Rodrigues for helpful comments on this work. The hospitality of the Oxford Centre for Industrial and Applied Mathematics and Centro de Matema`ticaeAplicac¸o˜es Fundamentais (Lisbon), where this work was done, is highly appreciated. The research was supported by the European Science Foundation (FBP programme).
PY - 1996/1/1
Y1 - 1996/1/1
N2 - The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, this is a free boundary problem and its solution is of interest in applied superconductivity.We derive a variational formulation for the Bean model and use it to solve two-dimensional and axially symmetric critical-state problems numerically.
AB - The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, this is a free boundary problem and its solution is of interest in applied superconductivity.We derive a variational formulation for the Bean model and use it to solve two-dimensional and axially symmetric critical-state problems numerically.
UR - http://www.scopus.com/inward/record.url?scp=0030295529&partnerID=8YFLogxK
U2 - 10.1006/jcph.1996.0243
DO - 10.1006/jcph.1996.0243
M3 - Article
AN - SCOPUS:0030295529
SN - 0021-9991
VL - 129
SP - 190
EP - 200
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -