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二维Helmholtz方程外问题的数值解法

NUMERICAL METHOD ON EXTERIOR BOUNDARY PROBLEM OF THE TWO-DIMENSIONAL HELMHOLTZ EQUATION
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摘要 利用位势理论把Helmholtz方程外问题转化为第二类积分方程的求解问题.在处理积分算子核时,采用了一种新的裂解方式,再利用Nystrm方法求解数值结果.最后针对该方法给出数值实例,以表明此方法的有效性. The exterior problem of Helmholtz equation is transformed into solving the second integral equation by applying potential theory, and a new method is used to split off the logarithmic kernal.The it obtains numerical solution by using NystrSm method. Finally, the numerical examples are given to show the validity of the method.
机构地区 西北大学数学系
出处 《数值计算与计算机应用》 CSCD 北大核心 2011年第1期57-63,共7页 Journal on Numerical Methods and Computer Applications
关键词 HELMHOLTZ方程 积分方程 NYSTROM方法 位势理论 Helmholtz equation Integral equation Nystrom method Potential theory
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参考文献7

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二级参考文献5

  • 1Feng Kang, Yu Dehao. Canonical integral equations of elliptic boundary value problems and their numerical solutions[A]. Proc. of China-France Symposium on FEM(1982)[C], Science Press, 1983;211-252.
  • 2Rainer Kress. Boundary Integral Equaton in Time-Harmonic Acoustic Scattering[M]. 1991.
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