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

作　　者：Li Chenlu Sun Yufa Wang Zhonggen Wang Guohua 

机构地区：[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

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2018年第3期449-454,共6页南京航空航天大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.61401003);the Specialized Research Fund for the Doctoral Program of Higher Education of China (No.20123401110006);the Natural Science Research Project of Anhui Education ( No. KJ2015A436)

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.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.

关 键 词：multilevel characteristic basis function method(MLCBFM) adaptive cross approximation(ACA) characteristic basis functions(CBFs) electromagnetic scattering 

分 类 号：TN951[电子电信—信号与信息处理]