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Maxwell方程反演的小波多尺度方法

丁亮 韩波 刘家琦

丁亮, 韩波, 刘家琦. Maxwell方程反演的小波多尺度方法[J]. 应用数学和力学, 2009, 30(8): 970-978. doi: 10.3879/j.issn.1000-0887.2009.08.010
引用本文: 丁亮, 韩波, 刘家琦. Maxwell方程反演的小波多尺度方法[J]. 应用数学和力学, 2009, 30(8): 970-978. doi: 10.3879/j.issn.1000-0887.2009.08.010
DING Liang, HAN Bo, LIU Jia-qi. Wavelet Multiscale Method for the Inversion of Maxwell’s Equation[J]. Applied Mathematics and Mechanics, 2009, 30(8): 970-978. doi: 10.3879/j.issn.1000-0887.2009.08.010
Citation: DING Liang, HAN Bo, LIU Jia-qi. Wavelet Multiscale Method for the Inversion of Maxwell’s Equation[J]. Applied Mathematics and Mechanics, 2009, 30(8): 970-978. doi: 10.3879/j.issn.1000-0887.2009.08.010

Maxwell方程反演的小波多尺度方法

doi: 10.3879/j.issn.1000-0887.2009.08.010
详细信息
    作者简介:

    丁亮(1979- ),男,黑龙江泰来人,博士生(Tel:+86-451-82113465;E-mail:iamashen@yahoo.com.cn);韩波,教授,博士(联系人.E-mail:bohan@hit.edu.cn).

  • 中图分类号: O157.2;O357

Wavelet Multiscale Method for the Inversion of Maxwell’s Equation

  • 摘要: 研究Maxwell方程电导率的识别问题.主要的难点是目标函数中存在一些局部极小值.将小波多尺度方法应用到Maxwell方程反演过程,通过小波变换,反问题被分解到多个尺度上,于是原反问题可以在子一级的尺度上,由大尺度到小尺度逐级求解.在每个尺度上我们采用稳定、快速的Gauss-Newton迭代法.数值算例的结果显示了这种方法大范围收敛、计算效率高、结果准确,是一种可行的计算方法.
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出版历程
  • 收稿日期:  2008-12-27
  • 修回日期:  2009-06-29
  • 刊出日期:  2009-08-15

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