Affiliations: [a] DIIES, University Mediterranea, Loc. Feo di Vito, Reggio Calabria, Italy | [b] DICEAM, University Mediterranea, Loc. Feo di Vito, Reggio Calabria, Italy
Correspondence:
[*]
Corresponding author: G. Angiulli, DIIES – University
Mediterranea, Reggio Calabria, Italy. E-mail: giovanni.angiulli@ unirc.it
Abstract: To efficiently solve the large, dense and non-Hermitian matrix
system provided by the E-field Integral Equation (EFIE) modelization of the
electromagnetic scattering by arbitrarily shaped perfect conducting bodies, the
Generalized Minimal Residual method (GMRES) with preconditioning is usually
employed. Nonetheless, even if optimal in a broad sense, the GMRES suffers of
the drawback that its memory space demand grows linearly with the number of
iterations. To avoid possible out-of-memory errors, a Krylov subspace method
involving a fixed amount of memory per iteration has to be used. This is the
case of the Bi-Conjugate Stabilized (BiCGStab) method. Although this method has
been exploited with success to handle dense matrix system arising from EFIE
discretization, its flexible version, the Flexible-BiCGstab, at the best of the
authors knowledge, has not received any attention within this context. In this
work, a study on the performances of the Flexible BiCGStab to solve the
discretized EFIE is presented. Numerical results demonstrate that the Flexible
BiCGStab is, at least in the examined cases, a workable alternative to the the
standard BiCGStab with ILUT preconditioning.
Keywords: Electromagnetic scattering, integral equations, krylov subspace methods, method of moments
