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关于CFIE-MLFMA算法的一类预条件方法
  • ISSN号：0255-8297
  • 期刊名称：应用科学学报
  • 时间：0
  • 页码：54-57
  • 语言：中文
  • 分类：TN011[电子电信—物理电子学]
  • 作者机构：[1]东南大学毫米波国家重点实验室,江苏南京210096
  • 相关基金：国家自然科学基金（60471016）;国家“863”高技术研究发展计划（2002AA123031,2003AA123310）资助项目
  • 相关项目：电磁场与微波技术
作者： 李卫东|周后型|洪伟|
关键词： 多层快速多极子方法, 预条件, LU分解, 共轭梯度法, multi-level fast multipole algorithm （MLFMA）, preconditioner, LU decomposition, conjugate gradient method
中文摘要：

研究了多层快速多极子算法（MLFMA）的预条件加速技术．利用MLFMA的近场矩阵的结构特征，先将其分裂为对角块阵、不完全下三角块阵和不完全上三角块阵．再将对角块作LU分解，就可以构造出一系列的预条件阵DILU．与不用预条件或只用对角块预条件相比，这些预条件阵能大幅度地减少迭代次数，节省计算时间．一部分预条件阵不会增加存储量，而另外一部分只增加很少的存储量．文中给出的数值算倒比较了几种不同预条件阵的优缺点。也验证了这些预条件加速方法的正确性和有效性．

英文摘要：

In this paper, preconditioners for multi-level fast multipole algorithm （MLFMA） are investigated, Based on its structure, the near-part of MLFMA matrix is split into a block-diagonal matrix, and incomplete lower matrix, and an incomplete upper block matrix. The block-diagonal matrices are LU decomposition. A series of preconditioners （DILU） are constructed. These preconditioners can save CPU time by greatly reducing the number of iterations. Some precondifioners require slightly increased memory size, while others even do not need any additional memory. Numerical examples compare efficiency of the preconditioners, and show validity of the accelerated algorithms.

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期刊信息
  • 《应用科学学报》
  • 中国科技核心期刊
  • 主管单位:上海市教育委员会
  • 主办单位:上海大学 中国科学院上海技术物理研究所
  • 主编：王延云
  • 地址：上海市上大路99号123信箱
  • 邮编：200444
  • 邮箱：yykxxb@departmenl.shu.edu.cn
  • 电话：021-66131736
  • 国际标准刊号：ISSN：0255-8297
  • 国内统一刊号：ISSN：31-1404/N
  • 邮发代号:4-821
  • 获奖情况:
  • 首届中国高校优秀科技期刊,第2届中国高校优秀科技期刊奖,全国高校优秀科技期刊,中国科技期刊方阵双效期刊,上海市优秀科技期刊,首届《CAJ-CD》执行优秀期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,荷兰文摘与引文数据库,美国剑桥科学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4747