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A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

Published online by Cambridge University Press:  03 June 2015

Meiling Zhao
Meiling Zhao*
Affiliation:
School of Mathematics & Physics, North China Electric Power University, Baoding, 071003, China School of Mathematics and System Sciences, Beijing University of Aeronautics & Astronautics, Beijing, 100083, China
*
Corresponding author. Email: meilingzhaocn@yahoo.com
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Abstract

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.

Keywords

65N0678M20Helmholtz equationcompact finite difference schemediscontinuous wave numbersimmerse interface methodfast iterative solver
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 2 , April 2013 , pp. 235 - 257
Copyright
Copyright © Global-Science Press 2013

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