[1]方大纲,宋玉明,王朝甫.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,(02):5-9.
　FangDagang Song Yuming WangChaofu.Multiresolution Analysis (MRA) in Computational Electromagnetics[J].Journal of Nanjing University of Science and Technology,1997,(02):5-9.
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电磁场数值计算中的多分辨率分析()
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《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1997年02期
页码:
5-9
栏目:
出版日期:
1997-04-30

文章信息/Info

Title:
Multiresolution Analysis (MRA) in Computational Electromagnetics
作者:
方大纲; 宋玉明; 王朝甫
南京理工大学电子工程与光电技术学院, 南京210094
Author(s):
FangDagang Song Yuming WangChaofu
School of Electronic Engineering and Optoelectronic Technology,NUST,Nanjing 210094
关键词:
电磁场;  数值计算;  分辨率;  分析;  小波变换;  多重网格法;  加权余量法
Keywords:
elect romagnetic f ields;  numerical computat ion;  reso lving power;  analy sis;  w avelet tr ansformation;  mult igr id method;  w eig hted residue method
分类号:
O441
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
Abstract:
The mult iresolut ion analy sis ( MRA) in computat ional elect romagnet ics is discussed systemat ically . Based on the mult ir esolution pro perty o f the base funct io n and the dif ferent t ransformation between base funct ions, the classificat ion of differ ent metho ds is given w hich rev eals the essence and r elat ionship of the differ ent methods. At the same t ime, the classification provides the clue to dev elo ping new appro ach, fo r example, f rom the fr ame of the MRA, a new numerical method-w avelet based mult igr id metho d is proposed by the authors. Finally , the comparison betw een tw o appro aches for so lving an oper ato r equat ion by using w avelet t ransfo rm is presented.

参考文献/References:

1　Wang C F, Fang D G. M ulti-gr id met ho d and diakoptic theor y. New po rt Bea ch, Califor nia:IEEE Antennas & Pr opagat ion Sympo sium, 1995
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4　So ng Y M, Fang D G. A hy brid bet ween m ultig r id metho d and wav elet algo rithm. Pr ov o f CJMW’9 6. Hefei: Univ ersity of Science and T echno lo gy of China, 1996. 288～291
5　Wag ner R L, Chew W C. A study o f w avelet fo r the solut ion of electromag net ic integ ral equations. IEEE Tr ans Antennas Pr opagat , 1995, 43( 8) : 802～810
6　Howa rd G E. Lar ge micr ow ave integ ra ted cir cuit s by mult ilev el moment m ethod analysis:[ Ph. D. Disser tat ion] .Waterlo o: U niv o f Water loo , 1991
7　薄亚明. 电大尺寸电磁散射问题迭代解法的研究: [ 博士学位论文] . 南京: 东南大学无线电系, 1992
8　Cao W, Xia Y W. Modified moment metho d appr oa ch to electromag net ic pr oblem s. Chinese J of Electr onics, 1993, 2( 2) : 74～81
9　宋玉明, 方大纲. 多层递推小波算法及其在计算电磁学中的应用. 微波学报, 1996, 12( 4) :253～258

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备注/Memo

备注/Memo:
国家自然科学基金,国家教委高校博士点专项科研基金
方大纲　男　59 岁　教授
更新日期/Last Update: 2013-03-29