A Fast Preconditioned Iterative Algorithm for the Electromagnetic Scattering from a Large Cavity

Authors:
Chenliang Li;Zhonghua Qiao
Affiliations:
Guilin University of Electronics Technology, Guilin, China 541004;Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong
Venue:
Journal of Scientific Computing
Year:
2012

Citing 11
Cited 1

Separation-of-variables as a preconditioner for an iterative Helmholtz solver

Applied Numerical Mathematics
Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems

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On a class of preconditioners for solving the Helmholtz equation

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Time Compact High Order Difference Methods for Wave Propagation

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A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity

SIAM Journal on Scientific Computing
Analysis of electromagnetic scattering from an overfilled cavity in the ground plane

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A fast iterative solver for scattering by elastic objects in layered media

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A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering

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High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension

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Preconditioning Helmholtz linear systems

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Matrix decomposition algorithms for elliptic boundary value problems: a survey

Numerical Algorithms

Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity

Journal of Computational Physics

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Abstract

In this paper, a fast preconditioned Krylov subspace iterative algorithm is proposed for the electromagnetic scattering from a rectangular large open cavity embedded in an infinite ground plane. The scattering problem is described by the Helmholtz equation with a nonlocal artificial boundary condition on the aperture of the cavity and Dirichlet boundary conditions on the walls of the cavity. Compact fourth order finite difference schemes are employed to discretize the bounded domain problem. A much smaller interface discrete system is reduced by introducing the discrete Fourier transformation in the horizontal and a Gaussian elimination in the vertical direction, presented in Bao and Sun (SIAM J. Sci. Comput. 27:553, 2005). An effective preconditioner is developed for the Krylov subspace iterative solver to solve this interface system. Numerical results demonstrate the remarkable efficiency and accuracy of the proposed method.