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2018 On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method
Roman Chapko, Leonidas Mindrinos
J. Integral Equations Applications 30(4): 521-542 (2018). DOI: 10.1216/JIE-2018-30-4-521

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 two-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-dependent problem to a sequence of stationary boundary value problems, which are solved by a boundary layer approach resulting in 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. "On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method." J. Integral Equations Applications 30 (4) 521 - 542, 2018. https://doi.org/10.1216/JIE-2018-30-4-521

Information

Published: 2018
First available in Project Euclid: 29 November 2018

zbMATH: 06989831
MathSciNet: MR3881215
Digital Object Identifier: 10.1216/JIE-2018-30-4-521

Subjects:
Primary: 35L20, 42C10, 45E05, 65N35

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.30 • No. 4 • 2018
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