Convergence property of IDR variant methods implemented with method of moments

In this study, we investigate the performance of the variants of the induced dimension reduction (IDR) in large-scale electromagnetic scattering problems. Comparative numerical experiments, using IDR(s), GIDR(s, L), and ML(s)BiCGSTAB reveal that GIDR(s, L) shows the fastest convergence property among the three IDR variants. In a numerical experiment with a practical radiation problem, GIDR(s, L) with an s value of around 15 shows the best performance with respect to the balance between the convergence property and the tolerance to the spurious convergence.