Year: 2024
Author: Jianliang Li, Xiaoli Liu, Bo Zhang, Haiwen Zhang
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 5 : pp. 1407–1426
Abstract
We consider a numerical algorithm for the two-dimensional time-harmonic elastic wave scattering by unbounded rough surfaces with Dirichlet boundary condition. A Nyström method is proposed for the scattering problem based on the integral equation method. Convergence of the Nyström 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2304-m2022-0185
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 5 : pp. 1407–1426
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Elastic wave scattering Unbounded rough surface Nyström method.