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

Author:

Zhao Meiling

Abstract

AbstractThe 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.

Publisher

Global Science Press

Subject

Applied Mathematics,Mechanical Engineering

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Others;Numerical Methods for Inverse Scattering Problems;2023

2. Fast High-Order Algorithms for Electromagnetic Scattering Problem from Finite Array of Cavities in TE Case with High Wave Numbers;Mathematics;2022-08-15

3. High-order fast algorithm for solving Helmholtz equation with large wave numbers;2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022);2022-05-17

4. Fast algorithms for the electromagnetic scattering by partly covered cavities;Computational and Applied Mathematics;2021-01-05

5. A fast preconditioned iterative method for the electromagnetic scattering by multiple cavities with high wave numbers;Journal of Computational Physics;2019-12

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