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.
HattoriK., SaitoA., TakanoY., SuzukiT., YamadaH., TakayamaT., KamitaniA. and OhshimaS., Detection of smaller Jc region and damage in YBCO coated conductors by using permanent magnet method, Physica C471 (2011), 1033-1035.
2.
KamitaniA. and OhshimaS., Magnetic shielding analysis of axisymmetric HTS plates in mixed state, IEICE Trans. Electron.E82-C (1999), 766-773.
3.
KamitaniA., TakayamaT. and IkunoS., Shielding current analysis by current-vector-potential method: Application to HTS film with multiply-connected structure, Physica C494 (2013), 168-172.
4.
BebendorfM., Approximation of boundary element matrices, Numerische Mathematik86 (2000), 565-589.
5.
KurzS., RainO. and RjasanowS., The adaptive cross approximation technique for the 3-D boundary element method, IEEE Transactions on Magnetics38 (2002), 421-424.
6.
TakahashiY., MatsumotoC. and WakaoS., Large-scale and fast nonlinear magnetostatic field analysis by the magnetic moment method with the adaptive cross approximation, IEEE Trans. Magn.43 (2007), 1277-1280.
7.
Le-VanV., BannwarthB., CarpentierA., ChadebecO., GuichonJ.M. and MeunierG., The adaptive cross approximation technique for a volume integral equation method applied to nonlinear magnetostatic problems, IEEE Trans. Magn.50 (2014) Art. No. 7010904.
