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arXiv · 1705.07611

On the numerical solution of the elastodynamic problem by a boundary integral equation method

Roman Chapko·Leonidas Mindrinos
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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.

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Roman Chapko, Leonidas Mindrinos. 2017-05-22. On the numerical solution of the elastodynamic problem by a boundary integral equation method. https://doi.org/10.1216/jie-2018-30-4-521

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