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

โœ Scribed by V. Zalizniak


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
170 KB
Volume
178
Category
Article
ISSN
0045-7825

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โœฆ Synopsis


This paper presents the extension of the PEM scheme for the case of multidimensional wave problems. This is done on the basis of operator splitting and the PEM scheme for the one-dimensional wave equation given in the previous publication (V. Zalizniak, Commun. Numer. Meth. Engrg. 13 (3) (1997) 163ยฑ171). Numerical results for two problems of wave propagation in comparison with the analytical solutions are given to demonstrate the eectiveness of the proposed method for elastodynamics.


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