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arXiv · 2108.02600

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

Jianliang Li·Xiaoli Liu·Bo Zhang·Haiwen Zhang
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Abstract

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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BibTeXRIS

Jianliang Li, Xiaoli Liu, Bo Zhang, Haiwen Zhang. 2021-08-05. The Nystr\"{o}m method for elastic wave scattering by unbounded rough surfaces. https://arxiv.org/abs/2108.02600

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