Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14365/2141
Title: | Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder | Authors: | Yakhno, V. Ozdek, D. |
Keywords: | Wave propagation radially multilayered cylinder Green's functions analytical method simulation Cylindrically Monoclinic Material Time-Domain Bem Finite-Difference Element-Method Anisotropic Solids Elastic-Waves Fundamental-Solutions Media Propagation Formulation |
Publisher: | World Scientific Publ Co Pte Ltd | Abstract: | In this paper, a method for construction of the time-dependent approximate Green's function for the initial boundary value problem in a radially multilayered cylinder is suggested. This method is based on determination of the eigenvalues and the orthogonal set of the eigenfunctions; regularization of the Dirac delta function in the form of the Fourier series with a finite number of terms; expansion of the unknown Green's function in the form of Fourier series with unknown coefficients and computation of a finite number of unknown Fourier coefficients. Computational experiment confirms the robustness of the method for the approximate computation of the Dirac delta function and Green's function. | URI: | https://doi.org/10.1142/S0219876215500279 https://hdl.handle.net/20.500.14365/2141 |
ISSN: | 0219-8762 1793-6969 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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