期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

利用远场模式的不完全数据反演声波阻尼系数 被引量：4

RECOVER THE ACOUSTIC WAVE IMPEDANCE COEFFICIENT FROM THE INCOMPLETE DATA OF THE FAR FIELD PATTERN
原文传递
导出
摘要 In this paper,a method is presented for recovering the impedance coefficientgiven the incomplete data of the far field pattern of the scattered wave. The con-vergence of this method is proven. Numerical examples are given showing that thismethod is also accurate. In this paper,a method is presented for recovering the impedance coefficient given the incomplete data of the far field pattern of the scattered wave.The convergence of this method is proven. Numerical examples are given showing that this method is also accurate.
作者 王连堂 何志强
机构地区 西北大学
出处 《计算数学》 CSCD 北大核心 2003年第2期245-256,共12页 Mathematica Numerica Sinica
基金 陕西省教委基金(01JK064) 陕西省自然科学基金(2002A10)资助项目.
关键词 远场模式 不完全数据 声波 阻尼系数 反演 边界条件 正散射问题 Sommerfeld辐射条件 散射波 Hankel函数 Herglotz波函数 NYSTROM方法 三角级数 acoustic wave, scattering, impedance coefficient, recover
分类号 O422 [理学—声学] O241.82 [理学—计算数学]
  • 相关文献

参考文献7

  • 1王连堂.利用远场模式反演声波阻尼系数[J].计算数学,1999,21(1):89-98. 被引量：5
  • 2D.Coltom and P.Monk, A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region, SIAM J. Appl. Math., 45(1985),1039-1053.
  • 3D.Coltom and P.Monk, A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region , SIAM J. Appl. Math., 46(1986),505-523.
  • 4D.Colton and R.Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Spring Verlag, 1992.
  • 5D.Colton and R.Kress, Integral Equation Method in scattering Theory, Wiley-Interscience Publication, New York, 1983.
  • 6D.Colton and A.Kirsch, Dense sets and far field patterns in acoustic wave propagation,SIAM J. Appl. Anal, 15(1984), 996-1006.
  • 7A.Kirsch, Generalized Boundary Value and Control Problems for the Helmholtz Equation,Habilitationschrift, Universitat Gottingen, Gottingen, West Germany, 1984.

共引文献4

同被引文献20

  • 1王枢,王连堂.反演声波阻尼系数的另一种方法[J].纯粹数学与应用数学,2005,21(4):370-377. 被引量：2
  • 2王枢,孟文辉.利用远场模式的完全与不完全数据反演声波阻尼区域[J].纯粹数学与应用数学,2006,22(1):99-107. 被引量：1
  • 3Colton D, Monk P. A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region[J]. SIAM J. Appl. Math., 1985,45:1039-1053.
  • 4Colton D, Monk P. A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region Ⅱ[J]. SIAM J. Appl. Math.,1986,46:506-523.
  • 5Kitsch A, Kress R. An optimization method in inverse acoustic scattering[M]//Boundary Elements IX vol 3 Fluid Flow and Potential Applications. New York:Springer-Verlag Berlin Heidelberg, 1987,3.
  • 6Ochs R L. The limited aperture problem of inverse acoustic scattering: Dirichlet Bounary Contions[J]. SIAM J. Appl. Math., 1987,47:1320-1941.
  • 7Colton D, Kress R. Inverse Acoustic and Electromagnetic Scattering Theory[M]. New York: Springer-Verlag, 1992.
  • 8Colton D, Kress R. Integral Equation Methods in Scattering Theory[M]. New York: Wiley-Interscience Publication, 1983.
  • 9Gilberg D,Trudinger N S.Elliptic Partial Differential Equation of Second Order[M].New Youk:Springer-Verlag,1977.
  • 10Colton D,Kress R.Integrel Equation Methods in Scattering Theory[M].New York:Wiley-Intescience Publication,1983.

引证文献4

二级引证文献4

计算数学
2003年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部