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传输问题的一种数值解法 被引量:1

A NUMERICAL METHOD TRANSMISSION PROBLEMS
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摘要 研究了一类传输散射问题的数学模型,通过单层位势及其跳跃关系的运用把传输散射问题转化为了积分方程问题.在给出了理论证明的基础上,并给以数值算法及例子,数值结果证明了该方法的可行性和精确性. The paper studies the model of transmission scattering problem.Using single-layer potential theory and its jump relations transfers the transmission scattering into integral equations to solve.The paper gives the evidence of existence and uniqueness,and gives a numerical method and numerical example.The numerical result is obtained and the method is possible and accurate.
机构地区 西北大学数学系
出处 《陕西科技大学学报(自然科学版)》 2010年第5期159-164,共6页 Journal of Shaanxi University of Science & Technology
关键词 边界积分方程 传输问题 单层位势 远场模式 boundary integral equation the transmission problem single-layer potential the far-field pattern
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参考文献8

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二级参考文献12

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共引文献4

同被引文献7

  • 1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
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  • 4Kress R. On the numerical solution of a hypersingular integral equation in scattering theory[J]. Journal of Computational and Applied Mathematics, 1995, 345-360.
  • 5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.
  • 6Kress 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.
  • 7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

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