Acceleration for shielding current analysis in superconducting film containing cracks

Issue title: Proceedings from the 17th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2015)

Guest editors: Fumio Kojima, Futoshi Kobayashi and Hiroyuki Nakamoto

Article type: Research Article

Authors: Takayama, Teruou^{a; *} | Kamitani, Atsushi^b

Affiliations: [a] Department of Informatics, Yamagata University, Johnan, Yonezawa, Japan | [b] Graduate School of Science and Engineering, Yamagata University, Johnan, Yonezawa, Japan

Correspondence: [*] Corresponding author: Teruou Takayama, Department of Informatics, Yamagata University, Johnan, Yonezawa 992-8510, Japan. E-mail:[email protected]

Abstract: The high-speed method is proposed for analyzing a shielding current density in a high-temperature superconducting film containing cracks. In the proposed method, the linear-system at each iteration of Newton method is solved by using a GMRES(k) method. Consequently, it is found that the GMRES(k) method is a powerful tool for analyzing the shielding current density in an HTS thin film. In addition, the speed of the GMRES(k) method can be accelerated by a factor of about 2 by using the H-matrix method.

Keywords: GMRES(k) method, H-matrix method, high-temperature superconductor

DOI: 10.3233/JAE-162031

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 52, no. 1-2, pp. 555-561, 2016