| 电磁场数值计算中的多分辨率分析 |
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| 引用本文： | 方大纲,宋玉明.电磁场数值计算中的多分辨率分析[J].南京理工大学学报(自然科学版),1997,21(2):97-101. |
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| 作者姓名： | 方大纲 宋玉明 |
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| 作者单位： | 南京理工大学电子工程与光电技术学院 |
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| 基金项目： | 国家自然科学基金,国家教委高校博士点专项科研基金 |
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| 摘 要： | 该文对电磁场数值计算中的多分辨率方法进行了系统的讨论，从基函数的多分辨率性以及基函数之间不同的转换方式出发，对不同的方法进行了分类，揭示了各种方法的实质以及它们之间的联系，也为发展新的方法提供了线索，该文还对用小波变换求解算子方程的２种不同方法进行比较，并给出了构成各种不同方法的框图，从中也提出了新的研究课题。
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| 关 键 词： | 电磁场 数值计算 小流变换 多重网格法 分辨率 |
Multiresolution Analysis (MRA) in Computational Electromagnetics |
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| FangDagang,Song Yuming,WangChaofu.Multiresolution Analysis (MRA) in Computational Electromagnetics[J].Journal of Nanjing University of Science and Technology(Nature Science),1997,21(2):97-101. |
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| Authors: | FangDagang Song Yuming WangChaofu |
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| Abstract: | The multiresolution analysis (MRA) in computational electromagnetics is discussed systematically.Based on the multiresolution property of the base function and the different transformation between base functions,the classification of different methods is given which reveals the essence and relationship of the different methods. At the same time,the classification provides the clue to developing new approach,for example,from the frame of the MRA,a new numerical method wavelet based multigrid method is proposed by the authors.Finally,the comparison between two approaches for solving an operator equation by using wavelet transform is presented. |
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| Keywords: | electromagnetic fields numerical computation resolving power analysis wavelet transformation multigrid method weighted residue method |
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