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基于高阶叠层基函数的加速迭代求解方法 被引量：7

An acceleration iterative solution of MoM matrix equation based on higher order hierarchical basis functions
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摘要 研究了高阶叠层矢量基函数的尺度因子对迭代法求解矩阵方程收敛性的影响,选择了可以有效降低矩阵条件数的尺度因子;在此基础上,详细阐述了求解基于高阶叠层矢量基函数阻抗矩阵方程的叠层共轭梯度方法(HCGM),并从理论上分析了叠层共轭梯度算法的收敛性能。通过计算实例表明,与共轭梯度方法(CGM)相比,使用HCGM可以大幅度减少矩阵方程的迭代求解时间。 The convergence caused by different scalling factors of higher order hierarchical vector basis functions are studied as iterative method is used to solve the impedance matrix equation, and a compatible scaling factor is chosen to decrease the condition number of the impedance matrix. Moreover, the hierarchical conjugate gradient method （HCGM） is discussed and its performance to accelerate convergence is also theoretically analyzed for a proper scalling factor. Some typical numerical examples show that the time taken by solving the matrix equation using HCGM is much less than that using the conjugate gradient method （CGM）.
作者 任仪 聂在平 赵延文
机构地区 电子科技大学电子工程学院
出处 《电波科学学报》 EI CSCD 北大核心 2008年第1期100-105,共6页 Chinese Journal of Radio Science
基金 国家自然科学基金(No.60571022 No.60431010) 国家部级基金(No.9140A03010206DZ0238)
关键词 电磁场积分方程 叠层基函数 叠层共轭梯度算法 尺度因子 electromagnetic integral equations hierarchical basis functions hierarchical conjugate gradient method scaling factor
分类号 TN011 [电子电信—物理电子学]
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参考文献15

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二级参考文献10

  • 1胡俊 聂在平 姚海英.多层快速多极子方法中的树型算法[J].电波科学学报(增刊),1999,14:155-158.
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  • 8聂在平,胡俊,姚海英,王浩刚.用于复杂目标三维矢量散射分析的快速多极子方法[J].电子学报,1999,27(6):104-109. 被引量：43
  • 9王浩刚,聂在平,王军.对三维多层快速多极子方法中不变项计算的优化[J].电子学报,2000,28(9):105-107. 被引量：20
  • 10卢光辉,孙世新,聂在平,陈瀚,王浩刚.并行处理技术在电大尺寸复杂目标电磁散射中的应用[J].电子学报,2003,31(6):882-885. 被引量：17

共引文献74

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二级引证文献6

电波科学学报
2008年 第1期

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