Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder


Yakhno V., Ozdek D.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, vol.12, no.5, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.1142/s0219876215500279
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • 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
  • Dokuz Eylül University Affiliated: Yes

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.