Multilevel Characteristic Basis Function Method with ACA for Accelerated Solution of Electrically Large Scattering Problems

被引:0
|
作者
Li Chenlu [1 ]
Sun Yufa [1 ]
Wang Zhonggen [2 ]
Wang Guohua [1 ]
机构
[1] Key Laboratory of Intelligent Computing & Signal Processing,Ministry of Education,Anhui University
[2] College of Electrical and Information Engineering,Anhui University of Science and Technology
基金
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词
multilevel characteristic basis function method(MLCBFM); adaptive cross approximation(ACA); characteristic basis functions(CBFs); electromagnetic scattering;
D O I
10.16356/j.1005-1120.2018.03.449
中图分类号
O241.6 [线性代数的计算方法];
学科分类号
070102 ;
摘要
The multilevel characteristic basis function method(MLCBFM)with the adaptive cross approximation(ACA)algorithm for accelerated solution of electrically large scattering problems is studied in this paper.In the conventional MLCBFM based on Foldy-Lax multiple scattering equations,the improvement is only made in the generation of characteristic basis functions(CBFs).However,it does not provide a change in impedance matrix filling and reducing matrix calculation procedure,which is time-consuming.In reality,all the impedance and reduced matrix of each level of the MLCBFM have low-rank property and can be calculated efficiently.Therefore,ACA is used for the efficient generation of two-level CBFs and the fast calculation of reduced matrix in this study.Numerical results are given to demonstrate the accuracy and efficiency of the method.
引用
收藏
页码:449 / 454
页数:6
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