Characteristics methods for transient analysis of wave propagation in unbounded media
type: Item
instance of: scholarly article
title: Characteristics methods for transient analysis of wave propagation in unbounded media
zbMATH Open document ID: 0985.74031
DOI: 10.1016/S0045-7825(98)00054-1
author: Murthy N. Guddati
author: John L. Tassoulas
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-05-27T00:00:00Z
review text: Based on characteristic solution for unbounded layered media obtained by the authors in [Int. J. Solids Struct. 36, No. 31-32, 4699-4723 (1999; Zbl 0935.74066)], the authors solve the title problem for spherical and cylindrical domains. The main idea of the method is to seek the solution in the form \({\partial u\over\partial n}=B*u\), where \(u\) is a field variable, \(*\) denotes the convolution operator, and \(B\) is a global matrix operator. The method combines numerical and analytical (Fourier) procedures. A comparison of results obtained by the proposed method with results available in the literature shows the validity of the method.
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74J05
zbMATH DE Number: 1421614
zbMATH Keywords: transient wave propagation
zbMATH Keywords: linear waves
zbMATH Keywords: Fourier method
zbMATH Keywords: characteristic solution
zbMATH Keywords: unbounded layered medium
zbMATH Keywords: cylindrical domains
zbMATH Keywords: convolution operator
zbMATH Keywords: global matrix operator
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1421614