The piecewise exponential method (PEM) for the numerical simulation of wave propagation: a multidimensional wave problem

Authors
Zalizniak, V
Citation
V. Zalizniak, The piecewise exponential method (PEM) for the numerical simulation of wave propagation: a multidimensional wave problem, COMPUT METH, 178(1-2), 1999, pp. 115-124
Citations number
8
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
178
Issue
1-2
Year of publication
1999
Pages
115 - 124
Database
ISI
SICI code
0045-7825(19990727)178:1-2<115:TPEM(F>2.0.ZU;2-0
Abstract
This paper presents the extension of the PEM scheme for the case of multidi mensional wave problems. This is done on the basis of operator splitting an d the PEM scheme for the one-dimensional wave equation given in the previou s publication (V. Zalizniak, Commun. Numer. Meth. Engrg. 13 (3) (1997) 163- 171). Numerical results for two problems of wave propagation in comparison with the analytical solutions are given to demonstrate the effectiveness of the proposed method. for elastodynamics. (C) 1999 Elsevier Science S.A. Al l rights reserved.