A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media
Meiling Zhao
10.4208/aamm.12-m12119
Adv. Appl. Math. Mech., 5 (2013), pp. 235-257.
The scattering of the open cavity filled with the inhomogeneous
media is studied. The problem is discretized with a fourth order
finite difference scheme and the immersed interface method,
resulting in a linear system of equations with the high order
accurate solutions in the whole computational domain. To solve the
system of equations, we design an efficient iterative solver, which
is based on the fast Fourier transformation, and provides an ideal
preconditioner for Krylov subspace method. Numerical experiments
demonstrate the capability of the proposed fast high order iterative
solver.