| 高阶矢量基函数的叠层网格快速算法 |
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| 引用本文： | 李清波,周平,陈如山. 高阶矢量基函数的叠层网格快速算法[J]. 应用科学学报, 2009, 27(5): 520-524 |
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| 作者姓名： | 李清波 周平 陈如山 |
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| 作者单位： | 1. 淮阴师范学院物理与电子电气工程学院，江苏淮安2233002. 南京理工大学通信工程系，南京210094 |
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| 基金项目： | 江苏省教育厅自然科学基金 |
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| 摘 要： | 根据Andersen提出的用于矢量有限元中的高阶叠层旋度共形基函数，导出一种高阶叠层散度共形基函数，将其用于矩量法中，并结合多层快速多极子方法分析导体目标的散射问题. 为了进一步提高叠层基函数的计算效率，提出了基于广义极小余量法的叠层网格迭代算法，用于基于高阶叠层矢量基函数的多层快速多极子方法中. 通过计算导体球和橄榄体的雷达散射截面，验证了该文方法的高效性.
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| 关 键 词： | 矩量法 高阶矢量基函数 雷达散射截面 多层快速多极子方法 |
| 收稿时间： | 2009-02-26 |
| 修稿时间： | 2009-06-29 |
Fast Multiple Grid Algorithm Based on Higher Order Hierarchical Vector Basis Functions |
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| LI Qing-bo,ZHOU Ping,CHEN Ru-shan. Fast Multiple Grid Algorithm Based on Higher Order Hierarchical Vector Basis Functions[J]. Journal of Applied Sciences, 2009, 27(5): 520-524 |
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| Authors: | LI Qing-bo ZHOU Ping CHEN Ru-shan |
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| Affiliation: | 1. School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300,;Jiangsu Province, China;2. Communication Department, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | According to Andersen’s high order curl vector basis function, a set of higher order hierarchical basis functions is proposed for electrical field integral equations solved with the method of moments. Combined with the multilevel fast multipole method (MLFMM) the basis function is used to accelerate matrix vector product inanalyzing electromagnetic scattering and radiation of electrical targets. A hierarchical grid iterative algorithm based on the generalized minimal residual (GMRES) algorithm is proposed to improve computation efficiency. Numerical results show that this method is effective in dealing with electromagnetic scattering. |
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| Keywords: | method of moments higher order vector basis function radar cross section fast multipole method |
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