TY - JOUR
T1 - A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media
AU - Zhao , Meiling
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 235
EP - 257
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m12119
UR - https://global-sci.org/intro/article_detail/aamm/68.html
KW - Helmholtz equation, compact finite difference scheme, discontinuous wave numbers,
immerse interface method, fast iterative solver.
AB - <p style="text-align: justify;">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.</p>