@article{oai:nifs-repository.repo.nii.ac.jp:00011449, author = {KAMITANI, Atsushi and TAKAYAMA, Teruou and SAITOH, Ayumu and NAKAMURA, Hiroaki}, issue = {Special Issue 2}, journal = {Plasma and Fusion Research}, month = {Mar}, note = {0000-0002-4027-6576, A fast and stable method is proposed for calculating the time-varying shielding current density in a high-temperature superconducting (HTS) film containing cracks. If an initial-boundary-value problem of the shielding current density is formulated by the T-method, integral forms of Faraday's law on crack surfaces are also imposed as boundary conditions. As a result of the spatial discretization of the initial-boundary-value problem, semi-explicit differential algebraic equations (DAEs) are obtained. Although the DAEs can be solved with standard ordinary-differential-equation (ODE) solvers, much CPU time is required for their numerical solution. In order to shorten the CPU time, the following high-speed algorithm is proposed: the block LU decomposition is incorporated into function evaluations in ODE solvers. A numerical code is developed on the basis of the proposed algorithm and detectability of cracks by the scanning permanent-magnet method is numerically investigated. The results of computations show that, when multiple cracks is contained in an HTS film, resolution of the scanning permanent-magnet method will be degraded remarkably.}, title = {High-Speed Algorithm for Shielding Current Analysis in HTS Film with Cracks}, volume = {10}, year = {2015} }