Application of modified ICCGH to linear system appearing in shielding current analysis of uncracked HTS film: Improvement of H -matrix-based preconditioning

Abstract

By upgrading the $\mathcal{H}$ -matrix-based preconditioning, the CG method with the $\mathcal{H}$ -matrix-based acceleration technique (ICCGH method) has been modified. In addition, the performance of the modified ICCGH method has been investigated numerically. By means of the proposed approach, some disadvantages of the conventional ICCGH method can be resolved. The computation results show that the modified ICCGH method is quicker than the conventional one. It is concluded that the modified ICCGH method might be useful for accelerating the shielding current analysis of the crack-free HTS thin film.