A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media
Year: 2013
Author: Meiling Zhao
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 235–257
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m12119
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 235–257
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Helmholtz equation compact finite difference scheme discontinuous wave numbers immerse interface method fast iterative solver.
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