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The Nystr{o}m method for elastic wave scattering by unbounded rough surfaces

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 نشر من قبل Xiaoli Liu
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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We consider the numerical algorithm for the two-dimensional time-harmonic elastic wave scattering by unbounded rough surfaces with Dirichlet boundary condition. A Nystr{o}m method is proposed for the scattering problem based on the integral equation method. Convergence of the Nystr{o}m method is established with convergence rate depending on the smoothness of the rough surfaces. In doing so, a crucial role is played by analyzing the singularities of the kernels of the relevant boundary integral operators. Numerical experiments are presented to demonstrate the effectiveness of the method.



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