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可穿透障碍在两层介质中的声波散射问题数值解 被引量:2

ON THE NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR A PENETRABLE CYLINDER BURIED IN TWO DIELECTRIC CYLINDERS
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摘要 利用单双层位势的组合及跳跃关系理论,将可穿透障碍在两层介质中的声波散射问题转化为一个边界积分方程组的求解问题.积分算子分为包含奇异性积分核与无奇性的积分核两种,对其采用Nystrm方法进行离散求解.最后给出该方法的几个数值算例,验证了其可行性和有效性. The numerical solution of the scattering problem lor a penetrable cylinder burma in two dielectric cylinders is transformed into solving boundary integral equations, by applying the jump relationship and the combined double and single-layer potentials theory. The integral operators divide into two kinds: one is including the logarithmic kernal,the other is including non-logarithmic kernal. Then it obtains the numerical solution by applying the Nystrom method. Finally, the numerical examples were given to test the efficiency and feasibility of the method.
出处 《数值计算与计算机应用》 CSCD 北大核心 2011年第4期307-314,共8页 Journal on Numerical Methods and Computer Applications
关键词 声波散射问题 位势理论 边界积分方程 Nystrm方法 acoustic scattering problem potentials theory boundary integral equation NystrSm method
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参考文献8

  • 1Colton D, Kress R. Inverse Acoustic and Electromagnetic Scattering Theory[M]. Berlin: Spring- Verlag, 1992.
  • 2Colton D, Kress R. Integral Equation Methods in Scattering Theory[M]. New York: Wiley- Interscience Publication, 1983.
  • 3Kress R. On the numerical solution of a hypersingular integral equation in scattering theory[J]. Journal of Computational and Applied Mathematics, 1995, 345-360.
  • 4孟文辉,王连堂.反演声波散射区域的一种组合方法[J].计算数学,2005,27(3):231-242. 被引量:3
  • 5杨阿莉,王连堂,王俊杰.可穿透边界散射问题的数值方法[J].纺织高校基础科学学报,2008,21(2):179-181. 被引量:4
  • 6周率,王连堂,段艳婷.传输问题的一种数值解法[J].陕西科技大学学报(自然科学版),2010,28(5):159-164. 被引量:1
  • 7盂文辉.快速多极边界元方法研究及其在求解声波传播和散射问题中的应用[D].西安:西北工业大学博士学位论文,2010.
  • 8Kress R, Yaman F, Yaparb A, etal. Inverse scattering for an impedance cylinder buried in a dielectric cylinder[J]. Inverse Probloms in Science and Engineering, 2009, 17(4): 473-488.

二级参考文献21

  • 1麦宏晏,王连堂,申哲.利用线性抽样方法求解反介质散射问题[J].长安大学学报(自然科学版),2006,26(5):119-121. 被引量:1
  • 2王连堂.声波及散射的“Limited Aperture”问题[J].计算数学,1997,19(1):73-82. 被引量:3
  • 3R. L. Ochs. The limited aperture problem of inverse scattering:dirichlet bounday condition[J]. SIAMJ. Appl. Math, 1987, (47) : 1 320-1 341.
  • 4David Colton,Michele Piana and Roland Potthast. A simple method using morozovs discrepancy principle for solving inverse scattering problems[J]. J. Inverse Problem,2001, (17) :1 997-2 015.
  • 5Pedro Serranho, A hybrid method for inverse scattering for shape and impedance[J]. Inverse Problem,2006,(22) :663-680.
  • 6D. Colton and R. Kress. Integral Equation Methods in Scattering Theory[M]. New York:Wiley-Intesciece, 1983.
  • 7D. Colton and R. Kress. Inverse Acoustic and Electromagnetic Scattering Theory[M]. Berlin:Spring-Verlag,1992.
  • 8R. Kress. On the numerical solution of a hypersingular integral equation in scattering theory[J]. J. SIAMJ. Appl. Math, 1995, (61) :345-360.
  • 9D. Colton and P. Monk, A Novel Method for Solving The Inverse Scattering Problem for Time-harmonic Acoustic Waves in The Resonance Region II, SIAM J. Appl. Math.,46(1986), 506-523.
  • 10D. Colton 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.

共引文献5

同被引文献16

  • 1David Colton, Rainer Kress. Inverse Acoustic and Electronmagnetic Scattering Theory[M]. Springer Verlag, 2003, 16-18.
  • 2Colton D, Kress R. Integeral Equation Methods in Scattering Theroy[M]. New York: WileY- interscience Publication, 1983.
  • 3Kress R. Boundary Integral Equations In Time-harmonic Acoustic Scattering[J]. Math. Comput. Modelling, 1991, 15(3-5): 229-243.
  • 4Seydou F, Duraiswami R, Gumerou N A, Seppanen T. TM Electromagnetic Scattering from 2D Multilayered Dielectric Bodies - Numerical SolutionIJ]. Applied Computational Eletromagnetics Society Journal, 2004, 19(2): 186-188.
  • 5孟文辉.快速多极边界元方法研究及在求解声波传播和散射问题中的应用[D].西安:西北工业大学博士学位论文,2010.
  • 6刘晓东.分层介质中声波与电磁波散射问题及其反问题[D].北京:中国科学院研究生院,2010.
  • 7YAMAN F. Location and shape reconstructions of sound-soft obstacles buried in penetrable cylinders[j]. Inverse Prob- lems, 2009,25 .. 1-17.
  • 8KRESS R,SERRANHO P. A hybrid method for two-dimensional crack reconstruction[J]. Inverse Problems, 2005,21: 773-784.
  • 9孟文辉.快速多极边界元方法研究及其在求解声波传输和散射问题中的应用[D].西安:西北工业大学,2010.
  • 10COLTON D, KRESS R. Inverse acoustic and electronmagnetic scattering theory[M]. Berlin:Springer Verlag, 2003.

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