The Bean model in superconductivity: Variational formulation and numerical solution

Journal of Computational Physics

Volumn 129, Issue 1, 1996, Pages 190-200

  Prigozhin, Leonid ^a,b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED SUPERCONDUCTIVITIES; AXIALLY SYMMETRIC; BEAN MODELS; BEAN'S CRITICAL-STATE MODEL; FREE-BOUNDARY PROBLEMS; NUMERICAL SOLUTION; PENETRATION OF MAGNETIC FIELD; TWO-DIMENSIONAL; TYPE II SUPERCONDUCTORS; VARIATIONAL FORMULATION;

EID: 0030295529     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0243     Document Type: Article

References (27)

1. 1. C. P. Bean, Phys. Rev. Lett. 8, 250 (1962); Rev. Mod. Phys. 36, 31 (1964).
2. 1. C. P. Bean, Phys. Rev. Lett. 8, 250 (1962); Rev. Mod. Phys. 36, 31 (1964).
3. 2. Y. B. Kim, C. F. Hempstead, and A. R. Strnad, Phys. Rev. Lett. 9, 306 (1962); Phys. Rev. 129, 528 (1963).
4. 2. Y. B. Kim, C. F. Hempstead, and A. R. Strnad, Phys. Rev. Lett. 9, 306 (1962); Phys. Rev. 129, 528 (1963).
5. 3. A. M. Campbell and J. E. Evetts, Adv. Phys. 21, 199 (1972).
6. 4. C. P. Bean, J. Appl. Phys. 41, 2482 (1970).
7. 5. E. H. Brandt, M. V. Indenbom, and A. Forkl, Europhys. Lett. 22, 735 (1993).
8. 6. E. Zeldov et al., Phys. Rev. B 49, 9802 (1994).
9. 7. P. N. Mikheenko and Yu. E. Kuzovlev, Physica C 204, 229 (1993).
10. 8. J. Zhu et al., Physica C 212, 216 (1993).
11. 9. H. Hashizume et al., IEEE Trans. Magn. 28, 1332 (1992).
12. 10. M. Ashkin, J. Appl. Phys. 50, 7060 (1979).
13. 11. R. Navarro and L. J. Campbell, Phys. Rev. B 44, 10146 (1991).
14. 12. K. L. Telschow and L. S. Koo, Phys. Rev. B 50, 6923 (1994).
15. 13. A. Bossavit, IEEE Trans. Magn. 30, 3363 (1994).
16. 14. J. Wang and M. Sayer, Physica C 212, 395 (1993).
17. 15. J. L. Chen and T. J. Yang, Physica C 224, 345 (1994).
18. 16. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
19. 17. L. Prigozhin, Europ. J. Appl. Math. 7, 237 (1996).
20. 18. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
21. 19. I. Ekeland and R. Temam, Convex Analysis and Variational Problems (North-Holland, Amsterdam, 1976).
22. 20. V. L. Berdichevsky, Variational Principles in Continuum Mechanics (Nauka, Moscow, 1983). [Russian]
23. 21. G. Duvaut and J. L. Lions, Inequalities in Mechanics and Physics (Springer-Verlag, Berlin, 1976).
24. 22. L. Prigozhin, Phys. Rev. E 49, 1161 (1994).
25. 23. R. Glowinski, J. L. Lions, and R. Trémoliéres, Numerical Analysis of Variational Inequalities (North-Holland, Amsterdam, 1981).
26. 24. E. H. Brandt Phys. Rev. Lett. 76, 4030 (1996).
27. 25. I. S. Gradstein and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965).