Acceleration Techniques for Linear-System Solver in Shielding Current Analysis of Cracked HTS Film

Abstract

Two types of acceleration techniques, H-matrix arithmetics and an H-matrix-based variable preconditioning (VP), as well as their combination are applied to a linear-system solver in the shielding current analysis of a cracked high-temperature superconducting film. Although the combination seems to be the most effective of three types of the acceleration techniques, the results of computations show that, from the standpoint of the acceleration performance, neither the H-matrix-based VP nor the combination is superior to H-matrix arithmetics. The reason for this unexpected result is explained from the standpoint of operation counts.