Performance Improvement of Symmetric Linear System Solver in Shielding Current Analysis of HTS Thin Film: Application of H-Matrix-Based Preconditioner

Abstract

The conjugate gradient (CG) method with the acceleration technique of using both H-matrix arithmetic and H-matrix-based preconditioning is applied to the linear system that appeared in the shielding current analysis of the uncracked high-temperature superconducting film and its performance is investigated numerically. The computational results show that the proposed acceleration technique is extremely effective for improving the speed of the CG method.