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Space-time finite elements for the analysis of transient wave propagation in unbounded layered media

✍ Scribed by M.N. Guddati; J.L. Tassoulas

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
574 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis

A new method is proposed for the analysis of transient wave propagation in a layered stratum[ It makes use of the separation of variables technique and reduces the spatial dimension of analysis to one[ The resulting system of hyperbolic partial di}erential equations is solved via element!by!element computations based on a space!time Galerkin _nite element method[ This method is shown to be more e.cient than the methods based on convolution[ Numerical examples are presented to illustrate the e}ectiveness of the method[ Current limitations and possible extensions are also discussed[ Þ 0888 Elsevier Science Ltd[ All rights reserved[

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## Abstract In this paper, considering a Dirichlet–Neumann problem for 1D wave propagation analysis in layered media reformulated in terms of boundary integral equations, we compare two classical weak formulations for the boundary element method with a new space–time energetic formulation. Continui