On the numerical solution of the elastodynamic problem by a boundary integral equation method
Abstract
A numerical method for the Dirichlet initial boundary value problem for the elastic equation in the exterior and unbounded region of a smooth closed simply connected 2-dimensional domain, is proposed and investigated. This method is based on a combination of a Laguerre transformation with respect to the time variable and a boundary integral equation approach in the spatial variables. Using the Laguerre transformation in time reduces the time-depended problem to a sequence of stationary boundary value problems, which are solved by a boundary layer approach resulting to a sequence of boundary integral equations of the first kind. The numerical discretization and solution are obtained by a trigonometrical quadrature method. Numerical results are included.
Cite
@article{arxiv.1705.07611,
title = {On the numerical solution of the elastodynamic problem by a boundary integral equation method},
author = {Roman Chapko and Leonidas Mindrinos},
journal= {arXiv preprint arXiv:1705.07611},
year = {2024}
}
Comments
17 pages, 2 figures, 6 tables