| 一类均匀介质腔体模型电磁散射问题的快速求解算法 |
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| 引用本文： | 董白英.一类均匀介质腔体模型电磁散射问题的快速求解算法[J].宁夏师范学院学报,2014(6):24-30. |
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| 作者姓名： | 董白英 |
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| 作者单位： | 宁夏师范学院数学与计算机科学学院,宁夏固原756000 |
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| 基金项目： | 宁夏师范学院科研项目（YB201342,ZD201308）;宁夏高等学校科学研究项目（NGY2013107）;宁夏自然科学基金（NZ14271）. |
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| 摘 要： | 针对矩形腔体模型的散射问题,基于双线性元离散,提出了一种有效的快速求解算法.通过傅里叶变换和高斯消去法将离散方程简化为维数较低的界面方程,对界面方程给出了一个有效的预处理子空间迭代法,数值试验说明了算法的有效性.
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| 关 键 词： | 电磁散射问题 双线性元 预处理 |
A Fast Iterative Algorithm for the Electromagnetic Scattering from a Rectangular Open CavityA Fast Iterative Algorithm for the Electromagnetic Scattering from a Rectangular Open Cavity |
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| DONG Baiying.A Fast Iterative Algorithm for the Electromagnetic Scattering from a Rectangular Open CavityA Fast Iterative Algorithm for the Electromagnetic Scattering from a Rectangular Open Cavity[J].Journal of Ningxia Teachers College,2014(6):24-30. |
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| Authors: | DONG Baiying |
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| Institution: | DONG Baiying ( School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000) |
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| Abstract: | In this paper, a fast iterative algorithm base on the biliner element discretization is developed for the electromagnetic scattering from a rectangular open cavity. 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. An effective preconditioner is developed for the Krylov subspace iterative solver to solve this interface system. Numerical results demonstrate its effciency and accuracy. |
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| Keywords: | Electromagnetic Scattering Finite element method Preconditioned |
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