TY - JOUR
T1 - The Nyström Method for Elastic Wave Scattering by Unbounded Rough Surfaces
AU - Li , Jianliang
AU - Liu , Xiaoli
AU - Zhang , Bo
AU - Zhang , Haiwen
JO - Journal of Computational Mathematics
VL - 5
SP - 1407
EP - 1426
PY - 2024
DA - 2024/07
SN - 42
DO - http://doi.org/10.4208/jcm.2304-m2022-0185
UR - https://global-sci.org/intro/article_detail/jcm/23283.html
KW - Elastic wave scattering, Unbounded rough surface, Nyström method.
AB - <p style="text-align: justify;">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.</p>