[1]汤炜.时域多分辨小波的交替隐式差分方法[J].华侨大学学报(自然科学版),2010,31(4):404-407.[doi:10.11830/ISSN.1000-5013.2010.04.0404]
　TANG Wei.Analysis of the Alternative Direction Implicit Method Based on Multi-Resolution Time-Domain[J].Journal of Huaqiao University(Natural Science),2010,31(4):404-407.[doi:10.11830/ISSN.1000-5013.2010.04.0404]
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时域多分辨小波的交替隐式差分方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第4期
页码:
404-407
栏目:
出版日期:
2010-07-20

文章信息/Info

Title:
Analysis of the Alternative Direction Implicit Method Based on Multi-Resolution Time-Domain
文章编号:
1000-5013(2010)04-0404-04
作者:
汤炜
华侨大学信息科学与工程学院
Author(s):
TANG Wei
College of Information Science and Engineering, Huaqiao University, Quanzhou 362021, China
关键词:
Harr尺度;  小波函数;  时域多分辨;  交替隐式差分
Keywords:
Harr scaling;  wavelet function;  multi-solution time-domain;  alternative-direction implicit/finite difference time-domain
分类号:
TN011
DOI:
10.11830/ISSN.1000-5013.2010.04.0404
文献标志码:
A
摘要:
采用Harr尺度和小波函数为空间场量展开函数,得到时域多分辨小波(MRTD)步进方程,并与交替隐式差分(ADI-FDTD)结合,导出ADI-MRTD融合步进方程.场量迭代的核心转化为分块三对角矩阵线性方程组,提出广义追赶法进行高效求解,讨论连接边界条件的处理,使该方法能够有效地模拟散射问题.以一维问题为例,验证ADI-MRTD融合技术的计算精度和有效性.
Abstract:
The paper derives the multi-resolution time-domain(MRTD) update equations adopting the Harr scaling and wavelet function as the expanding basis in space domain.The ADI-MRTD formulae are obtained by combining with the alternative-direction implicit/finite difference time-domain(ADI-FDTD) method.Due to the simplification of Harr wavelet,the field components in ADI-MRTD equation can be updated by the blocked tridiagonal linear equation,which can be evaluated by generalized tridiagonal equation method efficiently.Moreover,this paper discusses the adjacent boundary condition to simulation electromagnetic scattering.Finally,the proposed method is validated by some one-dimension numerical examples.

参考文献/References:

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备注/Memo

备注/Memo:
华侨大学高层次人才科研启动项目(08BS411)
更新日期/Last Update: 2014-03-23