Affiliations: [a] Department of Informatics, Yamagata University, Yonezawa, Yamagata, Japan | [b] Department of Electrical Engineering, Yamagata University, Yonezawa, Yamagata, Japan
Correspondence:
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Corresponding author: Atsushi Kamitani, Department of Informatics, Graduate School of Science and Engineering, Yamagata University, 4-3-16, Johnan, Yonezawa, Yamagata 992-8510, Japan. E-mail: [email protected]
Abstract: A high-performance method is developed for solving a linear system in the shielding current analysis of a high-temperature superconducting (HTS) film containing cracks. When the shielding current density is calculated in the HTS film, a linear system of special type has to be solved at each iteration cycle of the Newton method. If GMRES is applied to the solution of the linear system, its convergence property will be remarkably degraded with increasing crack size. In order to resolve this problem, other variables than corrections of the current vector potential are all eliminated from the linear system. Consequently, the residual history of GMRES is hardly affected by a crack size so that its convergence property is improved remarkably.
Keywords: Finite element method, high-temperature superconductor, linear-system solver, Newton method
