Implicitly Restarted Gmres Fast Fourier Transform Method for Electromagnetic Scattering

The implicitly restarted generalized minimum residual method (IRGMRES) combined with the fast Fourier transform (FFT) technique is developed for solving three-dimensional (3-D) weak-form volume electric field integral equation of electromagnetic scattering problems. On several electromagnetic scattering problems, the resulted IRGMRES-FFT method converges two-three times faster than the conventional biconjugate gradient (BCG)-FFT method. Comparison with other Krylov-subspace iterative fast Fourier transforms methods also demonstrates the efficiency of the IRGMRES-FFT method.