Zhejiang Daxue xuebao. Lixue ban (Jul 2007)

Eigenvalue computation in acoustic waveguides with some perfectly matched layers(Helmholtz方程在多层无界声波导中特征问题计算)

  • WANGDan-xi(王丹溪),
  • LIGuo-sheng(李国生)

DOI
Journal volume & issue
Vol. 34, no. 4
pp. 384 – 389

Abstract

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尝试在深度方向引入PML(完美的匹配层)选取适当的非线性局部坐标正交变换及方程变换,将Helmholtz方程uxx+uzx+k2(x,z)u = 0变换为,然后再选取非对称Rayleigh商迭代算法来求解Helmholtz方程的特征问题,即求解的特征值和特征函数.数值模拟表明,此方法是可行的,并可以大大改善数值求解的效率.

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