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工程电磁场积分方程的多尺度解法
引用本文:杨锦春,邵可然.工程电磁场积分方程的多尺度解法[J].华中科技大学学报(自然科学版),1998(7).
作者姓名:杨锦春  邵可然
作者单位:华中理工大学电力工程系
基金项目:国家教委高等学校博士学科点专项科研基金
摘    要:采用多尺度的思想对工程电磁场积分方程和边界元方程进行离散,得到一个较为稀疏的矩阵,从而减少存储空间,所得到的结果比常用的方法所得结果更为精确.

关 键 词:电磁场  数值计算  积分方程  多尺度理论

Multiresolution Method for Electromagnetic Integral Equations
Yang Jinchun Doctoral Candidate, Dept. of Elec. Power Eng.,HUST,Wuhan ,China. Shao Keran.Multiresolution Method for Electromagnetic Integral Equations[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(7).
Authors:Yang Jinchun Doctoral Candidate  Dept of Elec Power Eng  HUST  Wuhan  China Shao Keran
Institution:Yang Jinchun Doctoral Candidate, Dept. of Elec. Power Eng.,HUST,Wuhan 430074,China. Shao Keran
Abstract:A multiresolution scheme for discretization of electromagnetic integral equation and boundary element equation is presented. The method discretizes the body by relatively coarser scaling functions and introduces the wavelet functions to acquire higher precision step by step. This method is the same as direct discretization with higher resolution scaling functions. The derived matrix is sparse because of its sparsity prescribed in advance, and the storage requirement is greatly reduced. Comparing this scheme with the Moment Method and zero order Boundary Element Method, the result shows that the scheme is more reasonable.
Keywords:electromagnetic fields  numerical calculation  integral equations  multiresolution theory
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