[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
2 How ard G E, Chow Y L. Diako ptic theo ry for micr o st rip line str uctur es. Newpor t Bea ch,Califor nia: IEEE AP-S Dig est, 1990
3 梁培康, 方大纲, 沙侃, 杨建军. 电磁问题中几种减少计算时间的方法和比较性研究. 微波学报, 1991, 7( 4) : 30~35
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