期刊文献+

阻尼边界条件的声波散射问题的三种数值求解方法 被引量:6

Three Numerical Methods for Acoustic Wave Scattering Problem with Impedance Boundary Condition
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摘要 利用位势理论将阻尼边界条件的声波散射问题转换为一个第二类边界积分方程,在二维情形下给出了Nystrom方法,Garlerkin方法和配置法这三种数值方法并通过对具体的数值例子的分析比较表明Nystrom方法在处理该问题时是最好的。 Potential theory is used to transfer the impedance boundary condition scattering problem into the boundary integral equations of the second kind. Three numerical examples in two dimensions are given, these methods are both accurate and simple to use and Nystrom method is the best one for this problem by comparing and analyzing the numerical results,
出处 《工程数学学报》 CSCD 北大核心 2005年第5期827-832,共6页 Chinese Journal of Engineering Mathematics
基金 陕西省自然科学基金(2002A10).
关键词 HELMHOLTZ方程 阻尼边界条件 远常模式 Helmholtz equation impedance boundary condition far field pattern
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参考文献5

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二级参考文献8

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共引文献22

同被引文献27

  • 1孙成禹,张吉辉.完全纵波方程有限差分波场模拟[J].石油地球物理勘探,2005,40(3):289-294. 被引量:7
  • 2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
  • 3王青云,王连堂.用正则化方法求解声波散射反问题[J].纯粹数学与应用数学,2006,22(2):182-188. 被引量:3
  • 4关晓明,林伟.圆外区域求解Helmholtz方程[J].高等学校计算数学学报,2006,28(4):289-298. 被引量:1
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